Question

A rock is thrown from the top of a ladder. The function

h(t) = -16t² + 120t + 10 gives the height of the rock t seconds after it is
thrown a certain number of feet.
1. What is the initial height that the rock was thrown from?

Answer 1

h'(t)=88

Explanation:

h'(t)=d/dt (-16t x 2 + 120t + 10)

h'(t)=d/dt (-32t + 120t + 10)

h'(t)=d/dt (88t + 10)

h'(t)=d/dt (88t) + d/dt (10)

h'(t)=88 + 0