Question

If the path of a diver diving from a diving board is given by the model:

h = - 0.44t2 + 3.08t + 12 where the h represents the height of the diver at t seconds after she leaves the board. Find the time (in seconds) that it takes for her to reach the maximum height for the dive.

Answer 1

maximum can be found when the derivative is 0. since this equation is a negative parabola (there's a negative in front of t^2), we know there's only one maximum.
h' = 2(-.44)t + 3.08 = 0. t = -3.08/-.88 is the answer.

Answer 2

simplified, of course

Answer 3

thanks