In Exercises 9598, use the position equation given on page 193 as the model for the

Chapter 2, Problem 96

(choose chapter or problem)

In Exercises 95–98, use the position equation given on page 193 as the model for the problem.

You throw a baseball straight up into the air at a velocity of 45 feet per second. You release the baseball at a height of 5.5 feet and catch it when it falls back to a height of 6 feet.

(a) Use the position equation to write a mathematical model for the height of the baseball.

(b) Find the height of the baseball after 0.5 second.

(c) How many seconds is the baseball in the air? (Use a graphing utility to verify your answer.)

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