A tennis player strikes the tennis ball with her racket when the ball is at the uppermost point of its trajectory as shown. The horizontal velocity of the ball just before impact with the racket is \(v_{1}=\) \(50 \mathrm{ft} / \mathrm{sec}\), and just after impact its velocity is \(v_{2}=70 \mathrm{ft} / \mathrm{sec}\) directed at the \(15^{\circ}\) angle as shown. If the 2 -oz ball is in contact with the racket for \(0.02 \mathrm{sec}\), determine the magnitude of the average force \(\mathbf{R}\) exerted by the racket on the ball. Also determine the angle \(\beta\) made by \(\mathbf{R}\) with the horizontal.

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02 -15