Question

IR 1 sn Jason launched a rocket for a physics experiment. This equation can be used to find the height (h), in feet, of the rocket after t seconds. h = -16t2 + 288t + 8 How many seconds will it take for the rocket to reach the max height?

Answer 1

The given equation is,

`h=-16t^2+288t+8`

For maximum height,

`\begin{gathered} h^(\prime)(t)=0 \\ -32t+288=0 \\ t=9\text{ sec.} \\ h^(\doubleprime)(t)=-32<0 \end{gathered}`

Thus, t=9 second is the required time to reach maximum height.