A boy 12.0 m above the ground in a tree throws a ball for his dog, who is standing right below the tree and starts running the instant the ball is thrown. If the boy throws the ball horizontally at 8.50 m/s, (a) how fast must the dog run to catch the ball just as it reaches the ground, and (b) how far from the tree will the dog catch the ball?

Answer 1

use the freefall equation to find the flight time
... h = 1/2 g t^2 + vo t + ho
... 0 = -4.90 t^2 + 0 + 12.0

(b) flight time * 8.50 m/s

(a) the dog must run as fast as the horizontal component of the ball's velocity
... 8.50 m/s

Answer 2

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