Two Balls & A Cliff

Calculus Level pending

Two balls are dropped from the top of the cliff at a time interval Δ t = 2 s \Delta t= 2\text{ s} . The first ball hits the ground, rebound elastically (reversing direction instantly without losing speed) and collides with the second ball at a height h = 55 m h=55 \text{ m} above the ground. How high is the top of the cliff?


The answer is 180.

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