
Concept explainers
a.
To find: the parametric equations that represent the path of ball.
a.

Answer to Problem 24E
Explanation of Solution
Given information:
Calculation:
Solve the horizontal and vertical components as shown below.
Thus the parametric equations are
b.
To find: the height of ball above the ground; and state whether the center bowler will be able to catch the ball or it will clear fence for home run.
b.

Answer to Problem 24E
36.04 feet
The ball will clear the fence.
Explanation of Solution
Given information:
Parametric equations evaluated in part a. are shown below.
Height of fence
Calculation:
Substitute the value of
Now substitute the value of
Thus the height of ball from the ground is 36.04 feet, which is greater than the height of fence. So the ball will clear the fence.
c.
To find: the distance travelled by the ball before it hits the ground.
c.

Answer to Problem 24E
528.86 feet
Explanation of Solution
Given information:
Assuming there is no outfield seats, i.e.
Parametric equations evaluated in part a. are shown below.
Calculation:
Substitute the value of
Now substitute the value of
Thus the distance travelled by ball is 528.86 feet.
Chapter 8 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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Pre-Algebra Student Edition
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