Concept explainers
(a)
The parametric equations of the path of the baseball.
(a)
Answer to Problem 95E
The parametric equations of the path of the baseball are
Explanation of Solution
Given information:
The center field fence in Yankee stadium is
Calculation:
Calculate the initial velocity of the ball is
The ball it at a point
Calculate the parametric equation of the path of the projectile.
Therefore, the parametric equations of the path of the baseball are
(b)
The maximum height and the maximum range of the projectile of the baseballat
(b)
Answer to Problem 95E
The maximum height of the projectile is
Explanation of Solution
Given information:
The given parametric equation of the path of the projectile are.
Calculation:
For
The graph is drawn using the above both equations as shown in figure (1).
Figure (1)
The maximum height of the projectile using the above graph shown in figure (1).
The maximum range of the projectile using the above graph shown in figure (1).
The ball will not hit the home run since it will hit the ground inside the field.
Therefore, the maximum height of the projectile is
(c)
The maximum height and maximum range of the projectile of the baseballat
(c)
Answer to Problem 95E
The maximum height of the projectile is
Explanation of Solution
Given information:
The given parametric equation of the path of the projectile are.
Calculation:
For
The maximum height of the baseball.
The maximum range of the baseball.
The ball will hit the home run since it will clear the fence is
Therefore, the maximum height of the projectile is
(d)
The minimum angle required for the hit to be a home run.
(d)
Answer to Problem 95E
The minimum angle required for the hit to be a home runis
Explanation of Solution
Given information:
The given parametric equation of the path of the projectile are.
Calculation:
For
Calculate the value of
Therefore, the minimum angle required for the hit to be a home runis
Chapter 10 Solutions
EBK PRECALCULUS W/LIMITS
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