Use the position function s(t) = -16t^2+1000, which gives the height (ft) 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
lim s(a) - s(t)t->a a-t .
101. If a construction worker drops a wrench from a height of 1000 ft, how fast will the wrench be falling after 5 seconds?
102. If a construction worker drops a wrench from 1000 ft, when will the wrench hit the ground? At what velocity will the wrench impact the ground?
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VELOCITY = (S(a-s(t))/a-t
velocity = 600-1000/5-0 = -80m/s ( negative indicates direction) = 80m/s
How would you do question 102?
velocity = 600-1000/5-0 = -80ft/s ( negative indicates direction) = 80ft/s
At ground S(a) = 0
0 = -16t^2+1000
16t^2 = 1000
t =square root of 62.5
Rench hits ground after 7.906 sec
s(t) = 1000
velocity = 0-1000/7.906 = 126.5ft/s
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