Question

Monique is punting a football and the height the ball travels is a function of time. The function h (s) = -s^2 + 10s + 3 gives the height of the ball, h (s), given the number of seconds, s, that the ball has been in the air. After flying through the air for 7.5 seconds, what is the height of the ball? Find h (7.5).

Answer 1

To find the height of the ball after 7.5 seconds, we need to substitute s = 7.5 into the equation h(s) = -s^2 + 10s + 3.

h(7.5) = -(7.5)^2 + 10(7.5) + 3
= -56.25 + 75 + 3
= 21 + 3
= 24.

Therefore, the height of the ball after 7.5 seconds is 24 units.