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

Answer:

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

Step-by-step 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