Question

How long did it take Katie to finally hit the water?

Answer 1

Answer

0.5 s

Step-by-step explanation

The given function is:

`h(t)=-16t^2+16t+672`

What to find:

The time it takes Katie to finally hit the water.

Step-by-step solution:

At maximum height, velocity, v = 0

Therefore, dh/dt is

`\begin{gathered} (dh)/(dt)=-32t+16=0 \\ \\ -32t=-16 \\ \\ t=(-16)/(-32) \\ \\ t=0.5s \end{gathered}`

Therefore, it takes 0.5 seconds for Katie to finally hit the water