Homework Help: math (calculate speed)

Posted by AMT on Tuesday, January 8, 2013 at 5:13pm.

A swimmer of mass m is at a swimming pool. They climb the steps to the diving board 4.0 m above the water. They jump off the board, which enables them to rise a further 0.7 m before they begin their descent into the pool. At what speed do they enter the water?
You may assume that the acceleration due to gravity, g, is 9.8 m s−2

Show your working step by step, including the correct formulas and equations.

math (calculate speed) - Jennifer, Wednesday, January 9, 2013 at 7:59pm
m*g*h = 1/2*m*v^2

where m is the mass; g is the acceleration due to gravity; v is the speed.

At the top of his dive, the swimmers energy is entirely potential energy = m*g*h;

When he enters the pool, the potential energy is converted to kinetic energy: 1/2*m*v^2

v = = (2*g*h)^0.5

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