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

3-58.

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.