Question

Mitch throws a ball over A 20 foot fence to a baseball field. The height, H, of the ball at the time T seconds after it was the round can be modeled by the equation H(t)=16^2 + 30t+6

which statement is true?

Answer 1

(a) At 1.5 seconds, the ball is 15ft high

Explanation:

Given

`Fence:= 20ft`

`h(t) := -16t^2 + 30t + 6`

Required

Select the true statement

See attachment for options

Option (a): At 1.5 seconds, the ball is 15ft high

This implies that:

`t = 1.5`

Substitute
`t = 1.5` in
`h(t) := -16t^2 + 30t + 6`

`h(1.5) = -16 * 1.5^2 + 30 * 1.5 + 6`

`h(1.5) = -16 * 2.25 + 45 + 6`

`h(1.5) = -36 + 45 + 6`

`h(1.5) = 15`

This statement is true.

Because:
`h(1.5) = 15` means that:

At 1.5 seconds, the ball is 15ft high

Other options will not be checked because only one option can be correct