Question: A rock is dropped from a height of \(576 \mathrm{ft}\) and falls toward Earth in a straight line. In \(t\) seconds the rock drops a distance of \(s=16 t^{2} \mathrm{ft}\)

1. How many seconds after release does the rock hit the ground?
2. What is the average velocity of the rock during the time it is falling?
3. What is the average velocity of the rock for the first \(3 \mathrm{~s}\) ?
4. What is the instantaneous velocity of the rock when it hits the ground?

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