From a point on the ground, a ball is projected to hit smooth vertical wall. After collision, the ball returns to the point of projection. If total time of flight of ball is four times the time taken by the ball to reach the wall from point of projection, then the coefficient of restitution is $x$ . Find the value of $\frac{1}{x}$ .

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Solution

$e = \frac{t_{1}}{T - t_{1}}$

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e=t1T−t1

$e = \frac{t_{1}}{T - t_{1}}$