A Bouncy Problem 1

A rubber ball fell from an initial height x x and every time that it hits the ground, the ball bounces back to one half of its initial height. What is the coefficient of restitution of this ball? (Ignore air resistance)

1 2 \frac{1}{\sqrt{2}} 3 2 \frac{\sqrt{3}}{2} 3 4 \frac{3}{4} 2 \sqrt{2} 1 2 \frac{1}{2}

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