High School

A diver with a mass of 101 kg jumps upward off a diving board into the water. The diving board is 6 m above the water, and the diver has a speed of 1.2 m/s. Based on this speed, how high above the board will the diver reach?

Answer :

When the diver reaches maximum height, the upward velocity will be zero.

We shall use the formula
v^2 = u^2 - 2gh
where
v = 0 (velocity at maximum height)
u = 1.2 m/s, intial upward velocity
g = -9.8 m/s^2, gravitational acceleration (downward)
h = maximum height attained above the diving board.

Therefore
0 = 1.2^2 - 2*9.8*h
h = 1.2^2/(2*9.8) = 0.0735 m

Answer: 0.074 m (nearest thousandth)