Slide 7.2 - 1 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we...
-
Upload
olivia-phillips -
Category
Documents
-
view
228 -
download
3
Transcript of Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we...
![Page 1: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/1.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
In this chapter we study kinematics of motion in one dimension—motion along a straight line. Runners, drag racers, and skiers are just a few examples of motion in one dimension.
Chapter Goal: To learn how to solve problems about motion in a straight line.
Chapter 2. Kinematics in One Dimension
![Page 2: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/2.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
Topics:
• Uniform Motion• Instantaneous Velocity• Finding Position from Velocity• Motion with Constant Acceleration• Free Fall• Motion on an Inclined Plane• Instantaneous Acceleration
Chapter 2. Kinematics in One DimensionChapter 2. Kinematics in One Dimension
![Page 3: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/3.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
Chapter 2. Reading QuizzesChapter 2. Reading Quizzes
![Page 4: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/4.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
The slope at a point on a position-versus-time graph of an object is
A. the object’s speed at that point.B. the object’s average velocity at that point.C. the object’s instantaneous velocity at that point.D. the object’s acceleration at that point.E. the distance traveled by the object to that point.
![Page 5: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/5.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
The slope at a point on a position-versus-time graph of an object is
A. the object’s speed at that point.B. the object’s average velocity at that point.C. the object’s instantaneous velocity at that point.D. the object’s acceleration at that point.E. the distance traveled by the object to that point.
![Page 6: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/6.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
The area under a velocity-versus-time graph of an object is
A. the object’s speed at that point.B. the object’s acceleration at that point.C. the distance traveled by the object.D. the displacement of the object.E. This topic was not covered in this chapter.
![Page 7: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/7.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
The area under a velocity-versus-time graph of an object is
A. the object’s speed at that point.B. the object’s acceleration at that point.C. the distance traveled by the object.D. the displacement of the object.E. This topic was not covered in this chapter.
![Page 8: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/8.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
At the turning point of an object,
A. the instantaneous velocity is zero.B. the acceleration is zero.C. both A and B are true.D. neither A nor B is true.E. This topic was not covered in this chapter.
![Page 9: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/9.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
At the turning point of an object,
A. the instantaneous velocity is zero.B. the acceleration is zero.C. both A and B are true.D. neither A nor B is true.E. This topic was not covered in this chapter.
![Page 10: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/10.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
A 1-pound block and a 100-pound block are placed side by side at the top of a frictionless hill. Each is given a very light tap to begin their race to the bottom of the hill. In the absence of air resistance
A. the 1-pound block wins the race.B. the 100-pound block wins the race.C. the two blocks end in a tie.D. there’s not enough information to
determine which block wins the race.
![Page 11: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/11.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
A 1-pound block and a 100-pound block are placed side by side at the top of a frictionless hill. Each is given a very light tap to begin their race to the bottom of the hill. In the absence of air resistance
A. the 1-pound block wins the race.B. the 100-pound block wins the race.C. the two blocks end in a tie.D. there’s not enough information to
determine which block wins the race.
![Page 12: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/12.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
Chapter 2. Basic Content and ExamplesChapter 2. Basic Content and Examples
![Page 13: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/13.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
Uniform Motion
Straight-line motion in which equal displacements occur during any successive equal-time intervals is called uniform motion. For one-dimensional motion, average velocity is given by
![Page 14: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/14.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
EXAMPLE 2.1 Skating with constant velocity
![Page 15: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/15.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
EXAMPLE 2.1 Skating with constant velocity
![Page 16: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/16.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
EXAMPLE 2.1 Skating with constant velocity
![Page 17: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/17.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
EXAMPLE 2.1 Skating with constant velocity
![Page 18: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/18.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
EXAMPLE 2.1 Skating with constant velocity
![Page 19: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/19.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
EXAMPLE 2.1 Skating with constant velocity
![Page 20: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/20.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
Tactics: Interpreting position-versus-time graphs
![Page 21: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/21.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
Tactics: Interpreting position-versus-time graphs
![Page 22: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/22.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
Instantaneous VelocityAverage velocity becomes a better and better approximation to the instantaneous velocity as the time interval over which the average is taken gets smaller and smaller.
As Δt continues to get smaller, the average velocity vavg = Δs/Δt reaches a constant or limiting value. That is, the instantaneous velocity at time t is the average velocity during a time interval Δt centered on t, as Δt approaches zero.
![Page 23: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/23.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
EXAMPLE 2.4 Finding velocity from position graphically
QUESTION:
![Page 24: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/24.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
EXAMPLE 2.4 Finding velocity from position graphically
![Page 25: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/25.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
EXAMPLE 2.4 Finding velocity from position graphically
![Page 26: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/26.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
EXAMPLE 2.4 Finding velocity from position graphically
![Page 27: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/27.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
EXAMPLE 2.4 Finding velocity from position graphically
![Page 28: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/28.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
EXAMPLE 2.4 Finding velocity from position graphically
![Page 29: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/29.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
Finding Position from VelocityIf we know the initial position, si, and the instantaneous velocity, vs, as a function of time, t, then the final position is given by
Or, graphically;
![Page 30: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/30.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
EXAMPLE 2.7 The displacement during a drag race
QUESTION:
![Page 31: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/31.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
EXAMPLE 2.7 The displacement during a drag race
![Page 32: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/32.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
EXAMPLE 2.7 The displacement during a drag race
![Page 33: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/33.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
EXAMPLE 2.7 The displacement during a drag race
![Page 34: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/34.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
Motion with Constant Acceleration
![Page 35: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/35.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
![Page 36: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/36.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
![Page 37: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/37.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
Problem-Solving Strategy: Kinematics with constant acceleration
![Page 38: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/38.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
Problem-Solving Strategy: Kinematics with constant acceleration
![Page 39: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/39.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
Problem-Solving Strategy: Kinematics with constant acceleration
![Page 40: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/40.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
Problem-Solving Strategy: Kinematics with constant acceleration
![Page 41: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/41.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
EXAMPLE 2.14 Friday night football
QUESTION:
![Page 42: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/42.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
EXAMPLE 2.14 Friday night football
![Page 43: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/43.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
EXAMPLE 2.14 Friday night football
![Page 44: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/44.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
EXAMPLE 2.14 Friday night football
![Page 45: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/45.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
EXAMPLE 2.14 Friday night football
![Page 46: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/46.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
EXAMPLE 2.14 Friday night football
![Page 47: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/47.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
EXAMPLE 2.14 Friday night football
![Page 48: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/48.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
Motion on an Inclined Plane
![Page 49: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/49.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
EXAMPLE 2.17 Skiing down an incline
QUESTION:
![Page 50: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/50.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
EXAMPLE 2.17 Skiing down an incline
![Page 51: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/51.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
EXAMPLE 2.17 Skiing down an incline
![Page 52: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/52.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
EXAMPLE 2.17 Skiing down an incline
![Page 53: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/53.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
EXAMPLE 2.17 Skiing down an incline
![Page 54: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/54.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
Tactics: Interpreting graphical representations of motion
![Page 55: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/55.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
Instantaneous Acceleration
The instantaneous acceleration as at a specific instant of time t is given by the derivative of the velocity
![Page 56: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/56.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
Finding Velocity from the AccelerationIf we know the initial velocity, vis, and the instantaneous acceleration, as, as a function of time, t, then the final velocity is given by
Or, graphically,
![Page 57: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/57.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
EXAMPLE 2.21 Finding velocity from acceleration
QUESTION:
![Page 58: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/58.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
EXAMPLE 2.21 Finding velocity from acceleration
![Page 59: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/59.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
Chapter 2. Summary SlidesChapter 2. Summary Slides
![Page 60: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/60.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
General Principles
![Page 61: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/61.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
General Principles
![Page 62: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/62.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
Important Concepts
![Page 63: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/63.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
Important Concepts
![Page 64: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/64.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
Applications
![Page 65: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/65.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
Applications
![Page 66: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/66.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
Chapter 2. Clicker QuestionsChapter 2. Clicker Questions
![Page 67: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/67.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
Which position-versus-time graph represents the motion shown in the motion diagram?
![Page 68: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/68.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
Which position-versus-time graph represents the motion shown in the motion diagram?
![Page 69: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/69.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
Which velocity-versus-time graph goes with the position-versus-time graph on the left?
![Page 70: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/70.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
Which velocity-versus-time graph goes with the position-versus-time graph on the left?
![Page 71: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/71.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
Which position-versus-time graph goes with the velocity-versus-time graph at the top? The particle’s position at ti = 0 s is xi = –10 m.
![Page 72: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/72.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
Which position-versus-time graph goes with the velocity-versus-time graph at the top? The particle’s position at ti = 0 s is xi = –10 m.
![Page 73: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/73.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
Which velocity-versus-time graph or graphs goes with this acceleration-versus-time graph? The particle is initially moving to the right and eventually to the left.
![Page 74: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/74.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
Which velocity-versus-time graph or graphs goes with this acceleration-versus-time graph? The particle is initially moving to the right and eventually to the left.
![Page 75: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/75.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
The ball rolls up the ramp, then back down. Which is the correct acceleration graph?
![Page 76: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/76.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
The ball rolls up the ramp, then back down. Which is the correct acceleration graph?
![Page 77: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/77.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
Rank in order, from largest to smallest, the accelerations a
A– a
C at
points A – C.
A) aA > a
B > a
C
B) aA > a
C > a
B
C) aB > a
A > a
C
D) a
C > a
A > a
B
E) aC > aB > aA
![Page 78: Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley. In this chapter we study kinematics of motion in one dimensionmotion along.](https://reader034.fdocuments.in/reader034/viewer/2022051819/551463d1550346494e8b5a63/html5/thumbnails/78.jpg)
Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
A) aA > a
B > a
C
B) aA > a
C > a
B
C) aB > a
A > a
C
D) a
C > a
A > a
B
E) aC > aB > aA
Rank in order, from largest to smallest, the accelerations a
A– a
C at
points A – C.