Answer
0.5 s
Explanation
The given function is:
[tex]h(t)=-16t^2+16t+672[/tex]
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
[tex]\begin{gathered} \frac{dh}{dt}=-32t+16=0 \\ \\ -32t=-16 \\ \\ t=\frac{-16}{-32} \\ \\ t=0.5s \end{gathered}[/tex]
Therefore, it takes 0.5 seconds for Katie to finally hit the water
