# A ball is shot out of a cannon. The height of the ball, h in meters, as a function of the time, t in seconds, since it was shot is given by the equation #h= -5t^2 +30t +1#. What is the maximum height?

##### 1 Answer

Feb 23, 2016

#### Answer:

#### Explanation:

The maximum and minimum values will be at points where the derivative of this function is zero, ie

Since the second derivative

it implies that