Question

Any idea how to solve this problem?

Answer 1

Step-by-step explanation:

$h(t) = -5t^{2} + 15t$

To determine the time it takes for the ball to hit the ground, we need to figure out when $h(t) = 0$.

$0 = -5t^{2} + 15t$

$t^{2} - 3t = 0$

$t(t - 3) = 0$

Separating this into two separate equations will give us the times that $h(t) = 0$:

$t = 0$

$t - 3 = 0$

$t = 3$

We can ignore $t = 0$ since that is the initial time that the ball is kicked from the ground, so the answer to the question is $t = 3$.