The lob in tennis is an effective tactic when your opponent is near the net. It

Question

The lob in tennis is an effective tactic when your opponent is near the net. It consists of lofting the ball over his head, forcing him to move quickly away from the net. Suppose that you loft the ball with an initial speed of 15.0 m/s, at an angle of 50.0 above the horizontal. At this instant your opponent is 10.0 m away from the ball. He begins moving away from you 0.30 s later, hoping to reach the ball and hit it back at the moment that it is 2.10 m above its launch point. With what minimum average speed must he move? (Ignore stretching with his racket)

Explanation / Answer

vx=15cos50=9.64 m/s vy=11.5 m/s horizontal distance covered by ball=9.64*t horizontal distance covered by player=v*(t-0.21) 2.1=11.5*t-gt^2/2 solving we get t=2.14 sec so 9.64*2.14=v(2.14-0.21) v=10.68 m/s

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