solution:

The ball takes 1.5s to go from B to C and 0.3s to go from A to B. By symmetry, the ball will take 0.3 seconds to go from C to D, so the total time of flight is 0.3s+1.5s+0.3s = 2.1s Also by symmetry we know that the final velocity is equal to the negative of the initial velocity.

eqnarray6

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Or an alternative solution utilizes an overall displacement of zero during the whole flight:

eqnarray15

This is equal to what we had above and we get the same answer.