To find the height of the cliff-diver above the ocean after 2 seconds, we can use the given formula:
\[ s(t) = 75 - 16t^2 \]
where \( s(t) \) is the height above the ocean in feet and \( t \) is the time in seconds.
Let's evaluate \( s(2) \):
- Substitute \( t = 2 \) into the formula:
\[ s(2) = 75 - 16(2^2) \]
- Calculate \( 2^2 \):
\[ 2^2 = 4 \]
- Now substitute that value back into the formula:
\[ s(2) = 75 - 16(4) \]
- Calculate \( 16 \times 4 \):
\[ 16 \times 4 = 64 \]
- Now substitute that value back into the formula:
\[ s(2) = 75 - 64 \]
- Perform the subtraction:
\[ s(2) = 11 \]
So, the diver is 11 feet above the ocean after 2 seconds.