# Semicircle bounce

Algebra Level pending

A child throws a ball and bounces 200 cm away from him. Then the second bounce is 300 cm away from the first bounce. The distance of bounces reduces by one fourth as the preceding distance. Assuming that the path of the ball in air is semicircle with no other forces acting on it, what is the distance (in cm) traveled by the ball as it is in air? (Hint: $$\pi$$ = 3.14)

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