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Home > PC > Chapter 8 > Lesson 8.2.1 > Problem 8-77


If a ball is thrown vertically upward with a velocity of ft/s, its height after 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.