\(h(t) = -16t^2 + b\) The function \(h\) estimates an object's height…

Question

Prompt

h (t) = - 16 t^{2} + b

The function

h

estimates an object's height, in feet, above the ground

t

seconds after the object is dropped, where

b

is a constant. The function estimates that the object is

40.96

feet above the ground when it is dropped at

t = 0

. How many seconds after being dropped does the function estimate the object will hit the ground?