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(a) During a tennis match, a player serves at 23.6 m/s (as recorded by radar gun), with the ball leaving the racquet 2.37 m above the court surface, horizontally. By how much does the ball clear the net, which is 12 m away and 0.90 m high? (b) Suppose the player serves the ball as before except that the ball leaves the racquet at 5.0° below the horizontal. Does the ball clear the net now?

(a) During a tennis match, a player serves at 23.6 m/s (as recorded by radar gun), with the ball leaving the racquet 2.37 m above the court surface, horizontally. By how much does the ball clear the net, which is 12 m away and 0.90 m high? (b) Suppose the player serves the ball as before except that the ball leaves the racquet at 5.0° below the horizontal. Does the ball clear the net now?

Grade:11

1 Answers

Kevin Nash
askIITians Faculty 332 Points
7 years ago
234-1205_1.PNG
Therefore, the ball passes from a vertical distance 0.21 m above the net.
234-1340_1.PNG
The negative sign highlight the fact that the distance x1 is measured downward from the its release point.
Therefore, the vertical distance travelled by the ball is 2.32 m.
The distance by which the ball clears the net is:
234-2089_1.PNG
The negative value of h highlights that the ball has pass down the net by distance 0.85 m. Therefore the ball will not clear the net.

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