### Home > PC3 > Chapter 3 > Lesson 3.1.4 > Problem 3-58

3-58.

If a ball is thrown vertically upward with a velocity of *t* seconds is given by the equation . At what instant will the ball be at its highest point, and how high will it rise?

1. Set the function

2. Factor.

3. Solve for the -intercepts.

4. Take the average of the -intercepts to locate the

*-coordinate of the vertex.*

5. Substitute that -value into the original equation to calculate the maximum height.