Problem

(Modeling) Solve each problem. For Exercise, see Example.EXAMPLEFinding Projectile HeightI...

(Modeling) Solve each problem. For Exercise, see Example.

EXAMPLE

Finding Projectile Height

If a projectile is launched from ground level with an initial velocity of 96 ft per sec, its height s in feet t seconds after launching is given by the following equation.

When will the projectile be greater than 80 ft above ground level?

SOLUTION

Now solve the corresponding equation.

Use these values to determine the intervals (− ∞, 1), (1, 5), and (5, ∞). Since we are solving a strict inequality, solutions of the equation t2 − 6t + 5 = 0 are not included. See Figure.

Figure

Choose a test value from each interval and use the procedure of Examples and to determine that values in Interval B, 11, 52, satisfy the inequality. The projectile is greater than 80 ft above ground level between 1 and 5 sec after it is launched.

Height of a Baseball A baseball is hit so that its height, s, in feet after t seconds is

For what time period is the ball at least 32 ft above the ground?

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Solutions For Problems in Chapter 1.7

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