Question

If h(t) represents the height of an object above ground level at time t and h(t) is given by h(t)=-16t2+11t+1 find the height of the object at the time when the speed is zero.

Answer 1

Speed is the fist derivative of your function, so
velocity = -32t + 11

set that equal to zero, solve for t
plug that t value back in the original height equation