Concept explainers
(a)
To find the parametric equation for the given projectile.
(a)
Answer to Problem 93E
The parametric equation is-
Explanation of Solution
Since the initial velocity of the ball is miles per hour, therefore
feet/sec.
The ball is hit at a point feet above the ground.
Therefore,
Therefore, the parametric equations for the path of the projectile are
Therefore, the parametric equation is
To find out whether the ball will hit the home run or not.
Answer to Problem 93E
No.
Explanation of Solution
When
Therefore,
The graph of the path is shown below-
The maximum height of the baseball
And the maximum range
Therefore, ball will not hit the home run since it will hit the ground inside the field.
To find out whether the ball will hit the home run or not.
Answer to Problem 93E
Yes.
Explanation of Solution
When
Therefore,
The maximum height of the baseball
feet.
And the maximum range
feet.
Therefore, ball will hit the home run since it will clear the fence feet high and feet away.
To find out the minimum angle required to hit a home run.
Answer to Problem 93E
The minimum angle required to hit a home run
Explanation of Solution
When
Then
And
By using the graphing utility, the following result can be obtained-
Therefore, the minimum angle required to hit a home run
Chapter 10 Solutions
EBK PRECALCULUS W/LIMITS
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