Aball is thrown vertically upward. after t seconds, its height h (in feet) is given by the function h(t)=72t-16t^2. what is the maximum height that the ball will reach?
do not round your answer

The maximum height that the ball will reach is 81 ft

Step-by-step explanation:

Note that the tray of the ball is given by the equation of a parabola of negative main coefficient. Then, the maximum value for a parabola is at its vertex.

For an equation of the form

So

the t coordinate of the vertice is:

In this case the equation is:

So

Therefore

Finally the maximum height that the ball will reach is

no

step-by-step explanation:

answer