Suppose that an air cannon in the Punkin Chunkin contest whose muzzle is
feet above the ground fires a pumpkin at an angle of
to the horizontal with a muzzle velocity of
feet per second. The model
s left parenthesis t right parenthesis equals negative 16 t squared plus 296 t plus 8s(t)=−16t2+296t+8
can be used to estimate the height s of an object after t seconds.
(a) Determine the time at which the pumpkin is at a maximum height.
(b) Determine the maximum height of the pumpkin.
(c) After how long will the pumpkin strike the ground?