Potato is launched vertically upward with an initial velocity of 100 ft/s from a potato gun at the top of an 85-foot-tall building. The distance in feet that
the potato travels from the ground after t seconds is given by
s(t) = -16t²+100t+85
a. Find the velocity of the potato after 0.5s and 5.75s.
b. Determine when the potato reaches its maximum height.
c. Find the acceleration of the potato at 0.5s and 1.5s.
d. Determine how long the potato is in the air.