Question

−9t² + 36t + 4
what does the constant represent in this expression?
a. the initial height of the ball.
b. the height of the ball at its highest point.
c. the amount of time it takes for the entire toss of the ball.
d. the amount of time it takes for the ball to reach its highest point.

Explanation:

In a height - time function for a vertically - tossed object of the form $h(t)=at^{2}+bt + c$, when $t = 0$ (the initial time), $h(0)=c$. Here, the given expression $-9t^{2}+36t + 4$ represents the height of the ball as a function of time $t$. When $t = 0$, the height is 4, which is the initial height of the ball.

Answer:

A. The initial height of the ball.