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[See Steps] Use the position function s(t)=-16t^2+1000 which gives the height (in feet) of an object that has fallen for t seconds from a height of 1000

Question: Use the position function \(s\left( t \right)=-16{{t}^{2}}+1000\) which gives the height (in feet) of an object that has fallen for t seconds from a height of 1000 ft. The velocity at time t = a seconds is given by

\[\underset{t\to a}{\mathop{\lim }}\,\frac{s\left( a \right)-s\left( t \right)}{a-t}\]

If a construction worker drops a wrench from a height of 1000 ft, when will the wrench hit the ground? At what velocity will the wrench impact the ground?

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