A ball is thrown vertically upward. After t seconds, its height h (in feet) is given by the function = ht-64t16t2. What is the maximum height that the ball will reach?

This is the concept of applications of polynomial equations. Given that the height of the ball is modeled by the function:

h (t) = 16t^2-64t

the maximum height will be calculated as follows;

h (t) = 16t (t-4)

therefore:

t=0 or t=4

h (4) = - 64 (4) + 16 (4^2)

=0