Question

Let `h(t) = -16t^2 + 64t + 80` represent the height of an object above the ground after `t` seconds. What is the number of seconds it takes to achieve its maximum height?

Answer 1

`t=2 " seconds"`

Explanation:

`h(t)=-16t^2+64t+80`

`d/(d t) h(t)=-32t+64=0`

`-32t=-64`

`t=2 " seconds"`