Concept explainers
An excellent major league pitcher can throw a baseball at a speed of 100 MPH. The pitcher’s mound is approximately 60 ft from home plate.
- a. What is the speed in m/s?
- b. What is the distance to home plate in meters?
- c. How much time is required for the ball to reach home plate?
- d. If the ball is launched horizontally, how far does the ball drop in this time, ignoring the effects of spin?
- e. What is this distance in feet (which explains why the pitchers stand on a mound)?
(a)
The speed in
Answer to Problem 5SP
The speed in
Explanation of Solution
Given Info: The baseball is thrown at a speed of
Write the expression for the speed in
Conclusion:
Thus, the speed in
(b)
The distance to the home plate in meters.
Answer to Problem 5SP
The distance to the home plate in meters is
Explanation of Solution
Given Info: The pitcher’s mound is
Write the expression for the distance in
Conclusion:
Thus, the distance to the home plate in meters is
(c)
The time required for the ball to reach the home plate.
Answer to Problem 5SP
The time required for the ball to reach the home plate is
Explanation of Solution
Given Info: The baseball is thrown at a speed of
Write the expression for the time taken.
Here,
Substitute
Conclusion:
Thus, the time required for the ball to reach the home plate is
(d)
The height the ball drops.
Answer to Problem 5SP
The height the ball drops is
Explanation of Solution
Given Info: The baseball is thrown at a speed of
Write the expression for the vertical distance travelled.
Here,
Substitute
Conclusion:
Thus, the height the ball drops is
(e)
The distance of the drop in feet.
Answer to Problem 5SP
The distance of the drop in feet is
Explanation of Solution
Given Info: The baseball is thrown at a speed of
Write the expression for the distance in drop.
Conclusion:
Thus, the distance of the drop in feet is
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Chapter 3 Solutions
Connect Access Card for Physics of Everyday Phenomena
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