Projectile MotionWhat is a “projectile”? • A projectile is an object launched by some initial...

16
Projectile Motion © Matthew W. Milligan

Transcript of Projectile MotionWhat is a “projectile”? • A projectile is an object launched by some initial...

Page 1: Projectile MotionWhat is a “projectile”? • A projectile is an object launched by some initial force, which then proceeds under the sole influence of gravity. • The equations

Projectile Motion

© Matthew W. Milligan

Page 2: Projectile MotionWhat is a “projectile”? • A projectile is an object launched by some initial force, which then proceeds under the sole influence of gravity. • The equations

Vectors – 2-D Kinematics

I.  Vector Addition/Subtraction - Graphical

II.  Vector Components - Applications

III.  Vector Addition/Subtraction - Numerical

IV.  Relative Motion V.  Projectile Motion

© Matthew W. Milligan

Page 3: Projectile MotionWhat is a “projectile”? • A projectile is an object launched by some initial force, which then proceeds under the sole influence of gravity. • The equations

The student will be able to: HW: 1 Add or subtract vectors graphically and determine a

vector's opposite. 1, 2

2 Calculate the components of a vector given its magnitude and direction.

3, 4

3 Calculate the magnitude and direction of a vector given its components.

5 - 9

4 Use vector components as a means of analyzing/solving 2-D motion problems.

10 - 13

5 Add or subtract vectors analytically (using trigonometric calculations).

14, 15

6 Use vector addition or subtraction as a means of solving relative velocity problems.

16 - 20

7 State the horizontal and vertical relations for projectile motion and use the same to solve projectile problems and apply vector properties to projectile motion.

21 - 38

Page 4: Projectile MotionWhat is a “projectile”? • A projectile is an object launched by some initial force, which then proceeds under the sole influence of gravity. • The equations

What is a “projectile”?

•  A projectile is an object launched by some initial force, which then proceeds under the sole influence of gravity.

•  The equations you will learn apply to the subsequent motion of the object after launch and before impact.

Page 5: Projectile MotionWhat is a “projectile”? • A projectile is an object launched by some initial force, which then proceeds under the sole influence of gravity. • The equations

© Matthew W. Milligan

Page 6: Projectile MotionWhat is a “projectile”? • A projectile is an object launched by some initial force, which then proceeds under the sole influence of gravity. • The equations

© Matthew W. Milligan

Page 7: Projectile MotionWhat is a “projectile”? • A projectile is an object launched by some initial force, which then proceeds under the sole influence of gravity. • The equations
Page 8: Projectile MotionWhat is a “projectile”? • A projectile is an object launched by some initial force, which then proceeds under the sole influence of gravity. • The equations
Page 9: Projectile MotionWhat is a “projectile”? • A projectile is an object launched by some initial force, which then proceeds under the sole influence of gravity. • The equations

Projectile x and y

•  Horizontally a projectile moves with a constant velocity. Velocity is constant in the x-direction.

Page 10: Projectile MotionWhat is a “projectile”? • A projectile is an object launched by some initial force, which then proceeds under the sole influence of gravity. • The equations
Page 11: Projectile MotionWhat is a “projectile”? • A projectile is an object launched by some initial force, which then proceeds under the sole influence of gravity. • The equations

The ball has fallen 8 diameters after 10 flashes of the strobe light.

What is its vertical acceleration?

Diameter of ball: 6.7 cm Strobe: 1800 flashes/minute

Page 12: Projectile MotionWhat is a “projectile”? • A projectile is an object launched by some initial force, which then proceeds under the sole influence of gravity. • The equations

Projectile x and y

•  Horizontally a projectile moves with a constant velocity. Velocity is constant in the x-direction.

•  Vertically a projectile moves with constant acceleration. Acceleration is g in the y-direction.

•  The forward motion of a projectile does not alter the effect of gravity – nor does the force of gravity alter the forward motion of a projectile.

Page 13: Projectile MotionWhat is a “projectile”? • A projectile is an object launched by some initial force, which then proceeds under the sole influence of gravity. • The equations

tavv yiyfy +=2

21 tatvd yiyy +=

tavv xixfx +=2

21 tatvd xixx +=

tavv if!!!

+=2

21 tatvd i!!!

+=

0=xa gay −=

Page 14: Projectile MotionWhat is a “projectile”? • A projectile is an object launched by some initial force, which then proceeds under the sole influence of gravity. • The equations

tavv yiyfy +=2

21 tatvd yiyy +=

ixfx vv =

tvd ixx =

0=xa gay −=

Components of Projectile Motion

Horizontal Vertical

© Matthew W. Milligan

Page 15: Projectile MotionWhat is a “projectile”? • A projectile is an object launched by some initial force, which then proceeds under the sole influence of gravity. • The equations

vi

vf d

a

© Matthew W. Milligan

Page 16: Projectile MotionWhat is a “projectile”? • A projectile is an object launched by some initial force, which then proceeds under the sole influence of gravity. • The equations

vi

vf d

a

vix

viy

vfx

vfy

dx

dy

© Matthew W. Milligan


Projectile Lab – student - Stanford Universitystanford.edu/~ajspakow/downloads/outreach/projectile-student-9-29... · Projectile Lab – student You will shoot a projectile across

Projectile Lab – student - Stanford Universitystanford.edu/~ajspakow/downloads/outreach/projectile-student-9-29... · Projectile Lab – student You will shoot a projectile across

Projectile Lab – student - Stanford Universityajspakow/downloads/outreach/projectile... · Projectile Lab – student You will shoot a projectile across the room using a rubber

Projectile Lab – student - Stanford Universityajspakow/downloads/outreach/projectile... · Projectile Lab – student You will shoot a projectile across the room using a rubber

Projectile Motion

Projectile Motion

Worksheet 6.1 Projectile Motion - Trunnell's Physicsphysics1502.weebly.com/.../worksheet_6.1_projectile_motion.pdf · Physics P Worksheet 6.1 Projectile Motion Worksheet 6.1 Projectile

Worksheet 6.1 Projectile Motion - Trunnell's Physicsphysics1502.weebly.com/.../worksheet_6.1_projectile_motion.pdf · Physics P Worksheet 6.1 Projectile Motion Worksheet 6.1 Projectile

projectile loom.pptx

projectile loom.pptx

Projectile Motion > Projectile

Projectile Motion > Projectile

Projectile Motion CCHS Physics. Projectile Properties?

Projectile Motion CCHS Physics. Projectile Properties?

Forces and Motion Motion in Two Dimension. Projectile Motion Projectile Motion An object shot through the air is called a projectile A projectile.

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03 Projectile

03 Projectile

Projectile Motion Projectile HW #1: Handout. Projectile Motion: Introduction: Projectile motion refers to freefall motion in ______ dimensions. The motion.

Projectile Motion Projectile HW #1: Handout. Projectile Motion: Introduction: Projectile motion refers to freefall motion in ______ dimensions. The motion.

Projectile Motion Notes. Vertical Projectile Motion.

Projectile Motion Notes. Vertical Projectile Motion.

Projectile Motion 2012 1 Projectile 2013

Projectile Motion 2012 1 Projectile 2013

Projectile loom.docx

Projectile loom.docx

e103 Projectile

e103 Projectile