(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?

Question

Kevin Nash · Answer

Therefore, the ball passes from a vertical distance 0.21 m above the net.

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:

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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