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Projectile Motion

Projectile Motion. Projectile. An object that moves through the air only under the influence of gravity after an initial thrust For simplicity , we’ll use 9.8 m/s 2 for gravity. Trajectory – path of a projectile.

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Projectile Motion

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  1. Projectile Motion

  2. Projectile • An object that moves through the air only under the influence of gravity after an initial thrust • For simplicity, we’ll use 9.8 m/s2 for gravity. • Trajectory – path of a projectile

  3. The vertical and horizontal components of a projectile are independent of each other • If 1 ball were dropped and another ball launched forward from the same height, they would hit the ground at the same time.

  4. Video Break • Mythbusters

  5. Force vectors for projectiles • Draw both horizontal and vertical vectors

  6. VerticalHorizontal d = Vt V = d/t d = ½ gt2 V = gt

  7. Horizontally launched cannonball

  8. Non-horizontally launched cannonball

  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. Horizontal Component • Distance • d = Vt • Velocity • V = d/t

  11. 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 • 44 = ½ (9.80)(t2) • 44 = 4.90( t2) • 8.9796 = t2 • t = 3.0 s 15m/s 44m

  12. 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 = (15)(3.0) • d = 45 m d

  13. 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 = (9.80)(3.0) • V = 29.4 m/s

  14. Example 2) A ball is thrown at a horizontal speed of 18 m/s. It’s flight time is 4.6 seconds. • How high does the ball go? • d = ½ gt2 • d = ½ (9.80)(2.32) • d = 25.92 m

  15. Example 2) A ball is thrown at a speed of 18 m/s. It rises and falls in 4.6 seconds. • How far away does it land? • d = Vt • d = (18)(4.6) • d = 82.8 m

  16. Example 2) A ball is thrown at a speed of 18 m/s. It rises and falls in 4.6 seconds. • What is its vertical speed when it hits the ground? • V = gt • V = (9.8)(2.3) • V = 22.54 m/s

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