Question

the height of a ball (in feet) after t seconds is given by the quadratic function h = -16(t - 3)² + 115
a. when does the ball reach its maximum height?
b. what is that maximum height?

a. the ball reaches its maximum height at \square second(s)
(type a whole number.)

Explanation:

Step1: Identify vertex form

The function is in vertex form $h(t) = a(t-h)^2 + k$, where $(h,k)$ is the vertex.

Step2: Find time of max height

For $h=-16(t-3)^2+115$, the $t$-value of the vertex is $3$.

Step3: Find maximum height

The $h$-value of the vertex is $115$.

Answer:

a. 3 seconds
b. 115 feet