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A diver steps off the cliffs at Acapulco, Mexico, 31.6 m above the surface of the water. At that moment, he activates his rocket-powered backpack horizontally, which gives him a constant horizontal acceleration of 5.1 m/s2 however does not affect his vertical motion. (For the following questions, ignore any effects of air resistance.)

1. How long does he take to reach the surface of the water?

2. How far out from the base of the cliff does he enter the water and assuming the cliff is vertical?

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