Ronin kicks a ball over the gate of the first floor balcony. The function h(t)=-36t^2+288t+9 can be used to model the height of the ball where t is the time in seconds after the ball kicked and h(t) is the height in feet 1. Find the time in Devon which the ball reaches it maximum height

4 seconds

Step-by-step explanation:

Given: The function can be used to model the height of the ball where t is the time in seconds after the ball kicked and h(t) is the height in feet.

Differentiate the given function with respect to t , we get

Put h'(t)=0

Also,

By second derivative test, h(t) is maximum at t=4.

Hence, the time in Devon which the ball reaches it maximum height = 4 seconds

f(x) is going down by 4

step-by-step explanation:

(its either that or its going left by 4)