PHYSICS IUNIT 1 Motion

Kinematics One – Dimensional Motion

http://www.walter-fendt.de/ph14e/

JAVA APPLETS

http://higheredbcs.wiley.com/legacy/college/halliday/0471320005/simulations6e/index.htm?newwindow=true

WILEY APPLETS

Lesson One Motion chap 2 Objectives

Using Position vs. Time Graphs

Using Data Calculate:

Average Velocities Average

Accelerations

Homework Problems pg 52 #’s 43 – 50 ALL Problems pg 52 #’s 51 – 61 ODD

UNIT 1 Lesson 1

Do Now!Men’s USA runner Maurice Greene won the gold in the 100 meter sprint with a time of 9.87 s. What was his average velocity?

Honor:If his initial velocity was 0, what was his average acceleration?

Definition of Speed

Speed is the distance traveled per unit of time (a scalar quantity).

Speed is the distance traveled per unit of time (a scalar quantity).

vs = = d

t

20 m

4 s

vs = 5 m/svs = 5 m/s

Not direction dependent!

A

Bd = 20 m

Time t = 4 s

UNIT 1 Lesson 1

Definition of VelocityVelocity is the displacement per unit of time. (A vector quantity.)

Velocity is the displacement per unit of time. (A vector quantity.)

Direction required!

A

Bs = 20 m

Time t = 4 s

Δx=12 m

20o

= 3 m/s at 200 N of E

= 3 m/s at 200 N of E

UNIT 1 Lesson 1

Lesson # 1

In Class

Equations of one- dimensional motion page 51

Answer Review Concepts page 39 practice problems #’s 9 – 13

PRACTICE / DEMO

Cart Rolling down Ramp Measure Displacement Measure Time Calculate Average Velocity

Position vs. Time http://

webphysics.davidson.edu/physlet_resources/physlet_physics/contents/mechanics/one_d_kinematics/default.html

Constant Acceleration vs. Time

http://webphysics.davidson.edu/physlet_resources/physlet_physics/contents/mechanics/one_d_kinematics/default.html

UNIT 1 Lesson 1

The BIG 5 Chap 3 Objectives

Utilize THE BIG FIVE EQUATIONS!!!Equations on Page 79 (Chapter 3)

Each student should be able to solve for :

Vf

when Vi, ,a and t are known Vi

when, Vf ,a and d are known d when Vf , Vi and t are known d when a , Vi and t are known a when d , Vi , Vf and t are known

Homework Summary Sheet chap 3 terms, Solving for -Average Velocity-Acceleration, Final Velocity Page 61 & 64 Practice Problems 1 – 10 ALL

UNIT 1 Lesson 2

Do Now!Navy jets launch from aircraft carriers using catapults go from 0 to launch speed in 175 feet (5.334X 101 m) in 2.15 sec. What is the average velocity as it travels down the catapult?How far has it traveled at 1.10 seconds?

Vf2 = V0

2 + 2aΔd

E.g. A train accelerates from 10 m/s to 40 m/s at an acceleration of 1m/s 2. what distance does it cover during this time.

Using V2 = V02 + 2aΔs, we sub in values 40 for V,

10 for V0 and 1 for a. Re-arranging to solve for s, we get:

ΔS = 750 m With Significant Digits ΔS = 800 m

UNIT 1 Lesson 2

d = V0Δt + 0.5 a Δt2

E.g. A body starts from rest at a uniform acceleration of 3 m/s2. how long does it take to cover a distance of 100m.

Using d = V0Δt + 0.5 a Δt2, we sub in values 3 for a, 0 for V0 and 100 for s. Re-arranging the equation and

solving for t (using the quadratic formula), we get: t = 8.51 or -8.51 seconds. As time cannot be negative, t

= 8.51 seconds.

t = 9 seconds

UNIT 1 Lesson 2

d = Vavg * t = (V0 + Vf)/2 × t

A car decelerates from 20.0 m/s to 10.0 m/s over a period of 10.0 seconds. How far does it travel during this time period.

Using d = (V0 + Vf)/2 × t, we sub in values

20.0 for V0, 10.0 for Vf and 10.0 for t.

Solving for s, we get: d = 150m

UNIT 1 Lesson 2

Note:

All units must be converted such that they are uniform for different variable throughout the calculations.

Time seconds Distance meters Velocity m/s Acceleration m/s2

Kinematic quantities (except time) are VECTORS and can be negative.

UNIT 1 Lesson 2

In Class Pages 60 – 63 Examples 1 and 2

PRACTICE / DEMO

Motion with Constant Acceleration

http://www.walter-fendt.de/ph14e/acceleration.htm

UNIT 1 Lesson 2

Summary Sheet chap 3 terms, Solving for -Average Velocity-Acceleration, Final VelocityPage 61 & 64Practice Problems 1 – 10 ALL

REVIEW LAB I {F-150} Work Sheet

HOMEWORK

Data Tables and Graphs Objectives

Calculate:Average Velocities from data tables (and graphs)

Calculate: Average Accelerations from data tables (and graphs)  Homework

Pg: 65 - 71 Practice

Problems #19, 22, 25, 27

32 #41  

UNIT 1 Lesson 3

Do Now!What is the average acceleration of the A-6 Intruder as it travels down the catapult from 0 to 150 Knots (7.62 X 101 m/s) in 2.15 seconds?

1 2 3 40

1

2

3

4

5

6

7

8

9

No Motion (zero velocity)Uniform Motion (constant veloc-ity)Accelerated Mo-tion (Increasing/changing veloc-ity)

time, t (s)

position

x, (m)

Position vs. time graph (velocity)

UNIT 1 Lesson 3

1 2 3 40

1

2

3

4

5

6

7

8

9

Uniform Motion (zero Acceleation)Uniform Acceleration (constant accelera-tion)Decreasing Accelera-tion

time, t (s)

velocity

v, (m/s)

velocity vs. time graph (acceleration)

UNIT 1 Lesson 3

Graphical Analysis

Dx

Dt

x2

x1

t2t1

2 1

2 1avg

x x xv

t t t

( 0)inst

xv t

t

Dx

Dt

Time

slope

Dis

pla

cem

en

t,

x

Average Velocity: Instantaneous Velocity:

UNIT 1 Lesson 3

Uniform Acceleration in One Dimension:

Motion is along a straight line (horizontal, vertical or slanted).

Changes in motion result from a CONSTANT force producing uniform acceleration.

The velocity of an object is changing by a constant amount in a given time interval.

The moving object is treated as though it were a point particle.

UNIT 1 Lesson 3

Example 6: An airplane flying initially at 400 ft/s lands on a carrier deck and stops in a distance of 300 ft. What is the acceleration?

Δx = 300 ft

vo = 400 ft/svf = 0

+

Step 1. Draw and label sketch.

Step 2. Indicate + direction

Example: (Cont.)

+

Step 3. List given; find information with signs.

Given: vo = 400 ft/s - initial velocity of airplane

v = 0 - final velocity after traveling Δx = +300 ft

Find: a = ? - acceleration of airplane

Δx = 300 ft

vo = 400 ft/s

vf = 0

Step 4. Select equation that contains a and not t.

vf2 - vo

2 = 2aΔx0

a = = -vo

2

2x

-(400 ft/s)2

2(300 ft)

a = - 300 ft/s2 a = - 300 ft/s2Why is the acceleration negative?

Because Force is in a negative direction which means that the airplane slows down

Given: vo = +400 ft/s

v = 0

Δx = +300 ft

Lesson #Velocity LAB Objectives

Measuring times of roll Calculate

THE ACCELERATION THE VELOCITIES

OF AN F-150 ROLLING DOWN THE ACADEMIC WING HILL.

Homework Complete LAB 1 BRING LAPTOP with

“EXCEL” for next class

UNIT 1 Lesson 4

Lab Review - ExcelObjectives

Utilizing Excel Plot Data and

obtain Graphs of: Position vs. Time Velocity vs. time Acceleration vs.

timeHomeworkOn Excel create a graph that shows a Lacrosse ball falling at a constant acceleration of 9.8 m/s2 for 30 seconds.

..\..\Physics I LABs\Motion\CarA vs Car B Graphs and data tables.xls

UNIT 1 LESSON 5

Do Now!By Team swap labs Check Data and Calculations

Read Results and Conclusion sections

Evaluate Effort using EEMO

Aaaaaaaah!Free Fall Objectives

Be able to utilize the BIG 5 Equations to calculate: Velocity Displacement

of a falling {NO Friction} object on EarthHomework

Page 74 Practice Problems #’s 42 – 46

Section Review #’s 47 Page 82 #’s 97, 100, 101

UNIT 1 Lesson 6

Do Now! A lacrosse ball is dropped and falls from the BIW Crane. If the Cranes is 350.0 ft tall (107.7 meters). How long will it take the ball to hit the ground?What will the velocity be?

Sign Convention: A Ball Thrown

Vertically Upward

• Velocity is positive (+) or negative (-) based on direction of motion.

• Velocity is positive (+) or negative (-) based on direction of motion.

• Displacement is positive (+) or negative (-) based on LOCATION.

• Displacement is positive (+) or negative (-) based on LOCATION.

Release Point

UP = +

• Acceleration is (+) or (-) based on direction of force (weight).

y = 0

y = +

y = +

y = +

y = 0

y = -Negative

v = +

v = 0

v = -

v = -

v= -Negative

a = -

a = -

a = -

a = -

a = -

In Class

Page 74 Practice Problems #’s 42 – 46

Section Review #’s 47

Page 82 #’s 97, 100, 101

PRACTICE / DEMO

Free Fall http://

higheredbcs.wiley.com/legacy/college/halliday/0471320005/simulations6e/index.htm?newwindow=true

Free Fall- 2 http://

www.walter-fendt.de/ph14e/acceleration.htm

UNIT 1 Lesson 6

LAB 2 Calculate Gravitational - Acceleration in BATH, ME

Objectives

Be able to utilize the BIG 5 Equations to calculate: Velocity Displacement Acceleration

of a moving object

Homework Finish LAB REPORT Typed

UNIT 1 Lesson 7

Do Now! 2 minutes A lacrosse ball is dropped and falls from the BIW Crane. If the Cranes is 350.0 ft tall (107.7 meters). How long will it take the ball to hit the ground?What will the velocity be?

You must know how to do these actions:

Calculate Average Velocities from data

Calculate Average Accelerations from data

Calculate times and distances given Average Velocities & Accelerations

Calculate Average Velocities & Accelerations given times and distances

Calculate and / or measure Average Velocities from data tables (and graphs)

Calculate and / or measure Average Accelerations from data tables (and graphs)

Calculate Acceleration due to gravity of an object in free fall

Calculate an objects velocity in free fall

Constant Acceleration

MotionDO NOW:What is the gravitational Acceleration in Bath, ME? Would it be larger or smaller on Mount Everest? Why?

UNIT 1 Lesson 8

In Class / Homework:

Page 82 – 83 #’s 103, 107,

108, 109, 110, 111, 11, 113

REVIEWTest Lesson 10

UNIT 1 Lesson 8

DO NOW:PAGE 85

#’S 1 – 9 ODD

LESSON 9 Review

PHYSICS IUNIT 1 MOTION

Do NOW:TESTHomework: Chapter 4

What are Newton’s THREE Law’s

Give and example when it they happened to

YOU!