If a construction worker drops a wrench from a height of 500 feet, when will the wrench
Chapter 1, Problem 104(choose chapter or problem)
Free-Falling Object In Exercises 103 and 104, use the position function \(s(t)=-16 t^{2}+500\), which gives the height (in feet) of an object that has fallen for t seconds from a height of 500 feet. The velocity at time t = a seconds is given by
\(\lim \limits_{t \rightarrow a} \frac{s(a)-s(t)}{a-t}\).
If a construction worker drops a wrench from a height of 500 feet, when will the wrench hit the ground? At what velocity will the wrench impact the ground?
Text Transcription:
s(t) = 16t^2 + 500
lim_t rightarrow a s(a) - s(t) / a - t
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