Question: On a putt-putt course there is a trick shot where the ball must roll to a door which it must hit at a speed

On a putt-putt course there is a trick shot where the ball must roll to a door which it must hit at a speed of 7m/s in order to drop into the hole. If the ball decelerates at 0.5m/s/s and hits the door after 2.5 seconds, then how fast was the ball hit if it makes it to the hole?

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