Monique is punting a football and the height the ball travels is a function of time. The function h(s)=−s2+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) .(1 point)

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

Let's calculate \( h(7.5) \):

\[
h(7.5) = - (7.5)^2 + 10(7.5) + 3
\]

Calculating \( (7.5)^2 \):

\[
(7.5)^2 = 56.25
\]

Now substituting this back into the equation:

\[
h(7.5) = -56.25 + 75 + 3
\]

Now, calculating:

\[
h(7.5) = -56.25 + 75 + 3 = -56.25 + 78 = 21.75
\]

Thus, the height of the ball after 7.5 seconds is:

\[
\boxed{21.75}
\]