Question

Part A

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)
The baseball will reach its maximum height at
seconds.

The maximum height of the baseball will be
feet.

Answer 1

I don't see the quadratic function in your message. Please paste the function h(t) so I can compute the numerical answers.

Meanwhile, here's the method you'll use:

- If h(t) = a t^2 + b t + c, the time to the vertex (maximum when a < 0) is t = −b / (2a).
- The maximum height is h(−b / (2a)) (plug that t into the function).

Example: if h(t) = −16t^2 + 64t + 5, then t = −64/(2·(−16)) = 2 s, and the maximum height is h(2) = −16(4) + 128 + 5 = 69 ft.

Send the actual h(t) and I'll compute the exact answers for your problem.