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 (see the drawing). Suppose that you loft the ball with an initial speed of 15.0 m/s at an angle of 50.0° the horizontal. At this instant your opponent is 10.0 m away from the ball. He begins moving away from you 0.45 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 the fact that he can stretch, so that his racket can reach the ball before he does.) 15.0 m/s 2.10 m 50.0 10.0 m Number i Units

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Chapter1: Units, Trigonometry. And Vectors
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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 (see the drawing). Suppose that you loft the ball with an initial speed of 15.0 m/s at an angle of 50.0°
the horizontal. At this instant your opponent is 10.0 m away from the ball. He begins moving away from you 0.45 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 the fact that he can stretch, so that his racket can reach the ball before he does.)
15.0 m/s
2.10 m
50.0
10.0 m
Number
i
Units
Transcribed Image Text: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 (see the drawing). Suppose that you loft the ball with an initial speed of 15.0 m/s at an angle of 50.0° the horizontal. At this instant your opponent is 10.0 m away from the ball. He begins moving away from you 0.45 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 the fact that he can stretch, so that his racket can reach the ball before he does.) 15.0 m/s 2.10 m 50.0 10.0 m Number i Units
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