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lecture02 - v The monkey startled by the gun lets go...

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6. Acceleration -Acceleration shows how fast velocity changes - Acceleration is the “velocity of velocity” t x v t x v t = = 0 lim t v a t v a t = = 0 lim
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7. Motion with constant acceleration at v v at t v x x + = + + = 0 2 0 0 2 Example: ? ? 2 / 3 / 2 2 2 0 0 - - = = = = v x s t s m a s m v m x ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 s m s m s m s s m s m v m m m m s s m s s m m x / 8 / 6 / 2 2 / 3 / 2 12 6 4 2 2 2 / 3 2 / 2 2 2 2 2 = + = + = = + + = + + =
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8. Free fall Free fall acceleration: g=9.8m/s 2 Using the two base equations: at v v at t v x x + = + + = 0 2 0 0 2 Substitute the following into the base equations: y x g a - = To derive the following equations: gt v v gt t v y y - = - + = 0 2 0 0 2
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The trajectory of an object projected with an initial velocity at the angle above the horizontal with negligible air resistance. 0 v 0 α 9. Projectile Motion
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Shoot the monkey (tranquilizer gun) A zookeeper shoots a tranquilizer dart to a monkey that hangs from a tree. He aims at the monkey and shoots a dart with an initial speed
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Unformatted text preview: v . The monkey, startled by the gun, lets go immediately. Will the dart hit the monkey? A. Only if v is large enough. B. Yes, regardless of the magnitude of v o . C. No, it misses the monkey. If there is no gravity, the dart hits the monkey… If there is gravity, the dart also hits the monkey! If there is no gravity, the dart hits the monkey… Continued If there is gravity, the dart also hits the monkey! Note, that it takes the same amount of time to hit the monkey as in the no gravity case! Continued This might be easier to think about… 2 2 1 gt y t v x = = For the bullet: 2 2 1 gt y x x = = For the monkey: Continued...
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