Question

The function h (t) = -16t+ 96t represents the height (in feet) of a golf ball t seconds after it is hit. The height of a

Answer 1

Answer:

The first golf ball went higher.

Step-by-step explanation:

The equation representing the height (in feet) of a golf ball t seconds after it is hit is:

$h(t)=-16t^{2}+96t$

And the graph represents the height of a  second golf ball t seconds after it is hit.

From the graph it can be seen that the second ball reaches its maximum height, i.e. 100 feet, after 2.5 seconds.

Compute the height of the first ball after 2.5 seconds as follows:

$h(t)=-16t^{2}+96t\\=(-16\times 2.5^{2})+(96\times 2.5)\\=-100+240\\=140$

After 2.5 seconds the first ball reaches a height of 140 feet.

This height may or may not be the maximum height.

But for the same time, the first ball goes higher that the second ball.

Thus, the first golf ball went higher.