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chroot

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The easiest way to solve this problem is via the conservation of energy. The ball loses gravitational potential energy as it descends, and gains the same amount of kinetic energy.

Gravitational potential energy lost is m g y, where m is the mass of the object and y is the (vertical) distance it fell.

Kinetic energy is expressed as 1/2 m v

Equating the loss of gravitational potential energy and the gain of kinetic energy look like this:

1/2 m v

And you can simply solve for the velocity:

v = sqrt(2 g y)

Does this make sense?

- Warren

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