Use the worked example above to help you solve this problem. A diver of mass m d

Question

Use the worked example above to help you solve this problem. A diver of mass m drops from a board 8.00 m above the water's surface, as shown in the figure. Neglect air resistance.

(a) Use conservation of mechanical energy to find his speed 4.00 m above the water's surface.
8.9 m/s

(b) Find his speed as he hits the water.
   12.5 m/s

EXERCISEHINTS:  GETTING STARTED  |  I'M STUCK!

Use the values from PRACTICE IT to help you work this exercise. Suppose the diver vaults off the springboard, leaving it with an initial speed of 3.42 m/s upward. Use energy conservation to find his speed when he strikes the water.

Explanation / Answer

2*9.8*4 = v*v

a) speed = 8.85 m/s

b) m*9.8*8 = 0.5*m*v*v

v = speed hit water = 12.522 m/s

exercise

0.5*m*3.42*3.42 + m*9.8*8 = 0.5*m*v*v

v =12.98 m/s hits water

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