Question

The flight of a baseball is modeled by the function where h is the height of the baseball above the ground after t seconds.

Use the vertex formula to determine how many seconds it will take the baseball to reach the maximum height.

Then find the maximum height of the baseball.

(2 points)

Answer 1

I don't see the actual function — could you paste h(t)?

Meanwhile, here is the method you should use (and an example):

General: If h(t) = at^2 + bt + c (with a < 0), the time of maximum height is t = −b/(2a). The maximum height is h(−b/(2a)).

Example: for h(t) = −16t^2 + 48t + 5,
- t = −b/(2a) = −48/(2·(−16)) = 48/32 = 1.5 seconds.
- h(1.5) = −16(1.5)^2 + 48(1.5) + 5 = −36 + 72 + 5 = 41 (units).

If you paste your specific h(t), I will compute the exact time and maximum height.