# A ball is thrown straight up in the air at a velocity of 24 ft./sec. The height of the ball at x seconds is given by the formula: h = 24x – 16x^2. How do you find the maximum height of the ball and when it will land?

##### 1 Answer

Solve the quadratic formula to find the time for the ball to land, and then use half of that time to calculate the maximum height. You will find that the time to fall is 1.5 seconds and the maximum height is 9 feet.

#### Explanation:

First, lets solve the quadratic equation to determine the times when

First, rewrite the function as a quadratic that has

We already know that

As for the time to maximum height: We can assume that the ball hits the maximum height halfway through its travel since the ball is released from

If the time to maximum height is