Projectile Motion Free Powerpoint Templates Page 1 Projectile

Projectile • An object in free fall • Object is moving in both the

Important facts • A projectile has no horizontal acceleration so its horizontal speed is

Example An object is fired from the ground at 100 meters per second at

Example X Y Vo 7. 2 cos 0=7. 2 sin 0=0 a 0 -10

Example During the disaster drill, Mr. Horton throws his walkie-talkie up into the air

Example Find ∆x It doesn’t matter than cannonball goes up and then down, ∆y

Example • Mrs. Ryan moonlights as a daredevil jumping things on a motorbike. Her

Variables effects on projectile t Time Δy Max height Δx Range Increase Vox Increase

Variables effects on projectile t Time Δy Max height Δx Range Increase Vox None

• Ranking task Free Powerpoint Templates Page 11

Let’s run an experiment…. You push an object so that it moves along the

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Projectile Motion Free Powerpoint Templates Page 1

Projectile • An object in free fall • Object is moving in both the horizontal and vertical direction • Treat horizontal and vertical components of motion separately • Horizontal component = vocosƟ • Vertical component = vosinƟ • (Make two charts – one for horizontal and one for vertical) Free Powerpoint Templates Page 2

Important facts • A projectile has no horizontal acceleration so its horizontal speed is constant throughout the motion • The vertical acceleration is due to gravity • Both charts will use the same value for time • Final velocity means the instant before the object hits the ground • Vertical speed at top of motion = 0 • The time in the air depends on the vertical component ONLY!!! • https: //www. youtube. com/watch? v= z. MF 4 CD 7 i 3 hg Free Powerpoint Templates Page 3

Example An object is fired from the ground at 100 meters per second at an angle of 30 degrees with the horizontal – After 2. 0 seconds, how far has the object traveled in the horizontal direction? – How high is the object at this point? X Y Vo 100 cos 30=86. 6 100 sin 30=50 a 0 -10 t 2 2 Free Powerpoint Templates Page 4

Example X Y Vo 7. 2 cos 0=7. 2 sin 0=0 a 0 -10 ∆ ? -1. 2 Find t for y and transfer to x Free Powerpoint Templates Page 5

Example During the disaster drill, Mr. Horton throws his walkie-talkie up into the air with an initial velocity of 8. 2 m/s at an angle of 40 o. Mrs. Ryan, standing some distance away, catches it. - How high does it go? - How long is it in the air? - How far away is Mrs. Ryan? X Y Vo 8. 2 cos 0=6. 3 8. 2 sin 40=5. 3 a 0 vf top Free Powerpoint Templates -10 0 Page 6

Example Find ∆x It doesn’t matter than cannonball goes up and then down, ∆y is just overall displacement X Y Vo 45 cos 30=39 45 sin 30=22. 5 a 0 -10 ∆ ? -60 Find t for y and transfer to x Free Powerpoint Templates Page 7

Example • Mrs. Ryan moonlights as a daredevil jumping things on a motorbike. Her next stunt will be to jump a canyon. The ramp is built at a 19 o angle and she achieves a speed of 70 m/s at takeoff. If the canyon is 300 m wide (and the other side i at the same elevation), will she make it? Ignore 300 m for now, calculate ∆x and see how it compares to 300 Find t for y and transfer to x X Y Vo 70 cos 19=66. 2 70 sin 19=22. 8 a 0 -10 vf Free Powerpoint Templates Just made it! -22. 8 Page 8

Variables effects on projectile t Time Δy Max height Δx Range Increase Vox Increase Voy Increase initial height Angle Free Powerpoint Templates Page 9

Variables effects on projectile t Time Δy Max height Δx Range Increase Vox None increase Increase Voy increase none Increase initial height Angle increase none 90 o max 0 o min 45 o max Free Powerpoint Templates decreases symmetrically around 45 o (40 o and 50 o same, etc) Page 10

• Ranking task Free Powerpoint Templates Page 11

Let’s run an experiment…. You push an object so that it moves along the table and then projects off the edge of the table. How far will it go? How much acceleration does it need to go 4 feet? Free Powerpoint Templates Page 12