Benjamin threw a rock straight up from a cliff that was 36 ft above the water. if the height of the rock h, in feet, after t seconds is given by the equation nbsp h equals negative 16 t squared plus 36 t plus 36 , how long will it take for the rock to hit the water?

For this case we have the following equation:

h (t) = - 16t ^ 2 + 36t + 36

By the time the rock hits the water we have:

-16t ^ 2 + 36t + 36 = 0

Solving the second degree polynomial we have:

t1 = - 3/4

t2 = 3

We discard the negative root because we want to find the time.

Answer:

It will take for the rock to hit the water а bout:

t = 3 seconds