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# Projectile Motion

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### Projectile Motion

1. 1. 1 Projectile Motion (2-Dimensional Motion)
2. 2. 2 What is a Projectile… An object that moves through the air only under the influence of gravity after an initial thrust Give examples…
3. 3. 3 Other vocab… TRAJECTORY – path of a projectile The shape of the trajectory is a PARABOLA The horizontal distance that the projectile travels is the RANGE.
4. 4. 4 The vertical and horizontal components of a projectile are independent of each other. What does that mean?
5. 5. 5 If 1 ball were dropped and another ball launched forward from the same height, they would hit the ground at the same time.
6. 6. 6 Velocity vectors for projectiles… Here you see both horizontal and vertical components of the velocity vectors
7. 7. 7 Horizontally launched cannonball
8. 8. 8 Non-horizontally launched cannonball
9. 9. 9 Vertical Component Distance d = Vit + ½ gt2 *Vi is 0, so it cancels! d = ½ gt2 Velocity Vf = Vi + gt *Vi is 0, so it cancels! V = gt
10. 10. 10 Horizontal Component Distance d = Vt Velocity V = d/t
11. 11. 11 Working Problems… When working projectile problems, draw a picture, label all information, and list all GIVENS as either VERTICAL or HORIZONTAL. (T chart) Only time “plays both sides.”
12. 12. 12 Example) A stone is thrown horizontally at 15 m/s from the top of a cliff 44 m high. a) How long does it take to fall? d = ½ gt2 t = 2.99 s 44m 15m/s
13. 13. 13 Example) A stone is thrown horizontally at 15 m/s from the top of a cliff 44 m high. b) How far from the base of the cliff does it land? d = Vt d = 45 m d
14. 14. 14 Example) A stone is thrown horizontally at 15 m/s from the top of a cliff 44 m high. c) What is its vertical speed when it hits the ground? V = gt V = 29.4 m/s
15. 15. 15