The cliff divers of Acapulco push off horizontally from rock platforms about h =

Question

The cliff divers of Acapulco push off horizontally from rock platforms about h = 38 m above the water, but they must clear rocky outcrops at water level that extend out into the water L = 5.3 m from the base of the cliff directly under their launch point (Figure 1) .

Part A

What minimum pushoff speed is necessary to clear the rocks?

Express your answer to two significant figures and include the appropriate units.

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Part B

How long are they in the air?

Express your answer to two significant figures and include the appropriate units.

The cliff divers of Acapulco push off horizontally from rock platforms about h = 38 m above the water, but they must clear rocky outcrops at water level that extend out into the water L = 5.3 m from the base of the cliff directly under their launch point (Figure 1) .

Part A

What minimum pushoff speed is necessary to clear the rocks?

Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

Given,

h = 38 m ; L = 5.3 m

B) Let "t" be the time for which they are in air.

We know from the equation of motion that,

S = ut + 1/2 a t2

In our case, S = -h = -38 m ; u = 0 ; a = -g and t =?

-38 = -1/2 x 9.8 x t2

t = 2.78 sec

Hence, t = 2.78 sec.

B) Let v be the speed required.

speed required = horizontal distance/time

v = 5.3/2.78 = 1.91 m/s

Hence, v = 1.91 m/s.

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