The cliff divers of Acapulco push off horizontally from rockplatforms about 35m

Question

The cliff divers of Acapulco push off horizontally from rockplatforms about 35m above the water, but they must clear rockyoutcrops at water level that extend out into the water 5.0m fromthe base of the cliff directly under their launch point. a) What minimum pushoff speed is necessary to clear therocks? b) how long are they in the air? The cliff divers of Acapulco push off horizontally from rockplatforms about 35m above the water, but they must clear rockyoutcrops at water level that extend out into the water 5.0m fromthe base of the cliff directly under their launch point. a) What minimum pushoff speed is necessary to clear therocks? b) how long are they in the air?

Explanation / Answer

a) the time to hit the water is t and we have: h=35m = (1/2)gt2 =>t = (2*35m/9.8m/s) = 2.67s the push speed need is: v = 5.0m /2.67s = 1.87 m/s b) in air time is t = 2.67s =>t = (2*35m/9.8m/s) = 2.67s the push speed need is: v = 5.0m /2.67s = 1.87 m/s b) in air time is t = 2.67s

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