1 answer
(click or scroll down)
To find the height of the ball at 7.5 seconds, we will substitute \( s = 7.5 \) into the function \( h(s) = -s^2 + 10s + 3 \).
Calculating \( h(7.5) \):
\[
h(7.5) = -(7.5)^2 + 10(7.5) + 3
\]
Calculating \( (7.5)^2 \):
\[
(7.5)^2 = 56.25
\]
Now substituting this value back into our equation:
\[
h(7.5) = -56.25 + 10(7.5) + 3
\]
Calculating \( 10(7.5) \):
\[
10(7.5) = 75
\]
Now substituting that back in:
\[
h(7.5) = -56.25 + 75 + 3
\]
Now combining those values:
\[
h(7.5) = -56.25 + 75 = 18.75
\]
\[
h(7.5) = 18.75 + 3 = 21.75
\]
So the height of the ball after 7.5 seconds is:
\[
\boxed{21.75}
\]
The correct response is **21.75**.