(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

When Mongol drops his ball off the Hasselbluff Mountain Viewpoint, its height above the ground at time t is given by h = 64 - 1/2gt^{2}. How long will the ball take to hit the ground? How fast is the ball going the instant before it hits the ground?

2. Relevant equations

I found the answer to the first question to be: t = 8√2/√g

The derivative is v(t) = - gt

3. The attempt at a solution

v(t) = [lim t-->0] - g(8√2/√g + ∆t) - - g(8√2/√g)

v(t) = [lim t-->0] - g8√2/√g + g(8√2/√g)

v(t) = [lim t-->0] 0

I know that I'm doing something very obviously wrong, I just can't figure out what.

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# Finding velocity of a falling object

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