Question

Any idea how to solve this problem?

Answer 1

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`.