The driver of a car slams on the brakes when he sees a tree blocking the road. T

Question

The driver of a car slams on the brakes when he sees a tree blocking the road. The car slows uniformly with acceleration of -5.85 m/s2 for 4.35 s, making straight skid marks 64.8 m long, all the way to the tree. With what speed does the car then strike the tree? m/s A gymnast jumps straight up, with her center of mass moving at 3.11 m/s as she leaves the ground. How high above this point is her center of mass at the following times? (Ignore the effects of air resistance, and assume the initial height of her center of mass is at y = 0.) A baseball is hit so that it travels straight upward after being struck by the bat. A fan observes that it takes 3.10 s for the ball to reach its maximum height. Find the ball's initial velocity. m/s upward Find the height it reaches. m

Explanation / Answer

a) v = 2.17 m/s b) t= .1, y = 0.262 m t = .2, y = 0.426 m t = .3 ,y = 0.492 m t = .5, y = 0.33 m c) initial vel = 30.4 m/s height = 47.1 m

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