Physics of Everyday Phenomena
Physics of Everyday Phenomena
9th Edition
ISBN: 9781259894008
Author: W. Thomas Griffith, Juliet Brosing Professor
Publisher: McGraw-Hill Education
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Chapter 3, Problem 5SP

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.

  1. a. What is the speed in m/s?
  2. b. What is the distance to home plate in meters?
  3. c. How much time is required for the ball to reach home plate?
  4. d. If the ball is launched horizontally, how far does the ball drop in this time, ignoring the effects of spin?
  5. e. What is this distance in feet (which explains why the pitchers stand on a mound)?

(a)

Expert Solution
Check Mark
To determine

The speed in m/s.

Answer to Problem 5SP

The speed in m/s is 44.64m/s.

Explanation of Solution

Given Info: The baseball is thrown at a speed of 100MPH.

Write the expression for the speed in m/s.

100MPH=100MPH×1m/s2.24MPH=44.64m/s

Conclusion:

Thus, the speed in m/s is 44.64m/s.

(b)

Expert Solution
Check Mark
To determine

The distance to the home plate in meters.

Answer to Problem 5SP

The distance to the home plate in meters is 18.3m.

Explanation of Solution

Given Info: The pitcher’s mound is 60 ft from the home plate.

Write the expression for the distance in m.

60 ft=60 ft×0.3048m1ft=18.3m

Conclusion:

Thus, the distance to the home plate in meters is 18.3m.

(c)

Expert Solution
Check Mark
To determine

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 0.41s.

Explanation of Solution

Given Info: The baseball is thrown at a speed of 100MPH. The pitcher’s mound is 60 ft from the home plate.

Write the expression for the time taken.

t=dhv0

Here,

t is the time taken

dh is the horizontal distance

v0 is the initial velocity

Substitute 18.3m for dh and 44.64m/s for v0 to get t.

t=18.3m44.64m/s=0.41s

Conclusion:

Thus, the time required for the ball to reach the home plate is 0.41s.

(d)

Expert Solution
Check Mark
To determine

The height the ball drops.

Answer to Problem 5SP

The height the ball drops is 0.84m.

Explanation of Solution

Given Info: The baseball is thrown at a speed of 100MPH. The pitcher’s mound is 60 ft from the home plate.

Write the expression for the vertical distance travelled.

dv=v0t+12gt2

Here,

dv is the vertical distance travelled

Substitute 0m/s for v0, 0.41s for t and 10m/s2 for g to get dv.

dv=(0m/s)(0.41s)+12(10m/s2)(0.41s)2=0.84m

Conclusion:

Thus, the height the ball drops is 0.84m.

(e)

Expert Solution
Check Mark
To determine

The distance of the drop in feet.

Answer to Problem 5SP

The distance of the drop in feet is 2.76ft.

Explanation of Solution

Given Info: The baseball is thrown at a speed of 100MPH. The pitcher’s mound is 60 ft from the home plate.

Write the expression for the distance in drop.

0.84m=0.84m×1ft0.3048m=2.76ft

Conclusion:

Thus, the distance of the drop in feet is 2.76ft.

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Chapter 3 Solutions

Physics of Everyday Phenomena

Ch. 3 - Prob. 11CQCh. 3 - A ball is thrown downward with a large starting...Ch. 3 - A ball thrown straight upward moves initially with...Ch. 3 - A rock is thrown straight upward, reaching a...Ch. 3 - A ball is thrown straight upward and then returns...Ch. 3 - A ball is thrown straight upward and then returns...Ch. 3 - A ball is thrown straight upward. At the very top...Ch. 3 - A ball is thrown straight upward and then returns...Ch. 3 - Prob. 19CQCh. 3 - A ball rolling rapidly along a tabletop rolls off...Ch. 3 - For the two balls in question 20, which, if...Ch. 3 - Is it possible for an object to have a horizontal...Ch. 3 - A ball rolls off a table with a large horizontal...Ch. 3 - A ball rolls off a table with a horizontal...Ch. 3 - An expert marksman aims a high-speed rifle...Ch. 3 - In the diagram, two different trajectories are...Ch. 3 - For either of the trajectories shown in the...Ch. 3 - Assuming that the two trajectories in the diagram...Ch. 3 - A cannonball fired at an angle of 70 to the...Ch. 3 - Will a shot fired from a cannon at a 20 launch...Ch. 3 - The diagram shows a wastebasket placed behind a...Ch. 3 - In the situation pictured in question 31, is the...Ch. 3 - In shooting a free throw in basketball, what is...Ch. 3 - In shooting a basketball from greater than...Ch. 3 - A football quarterback must hit a moving target...Ch. 3 - A steel ball is dropped from a diving platform...Ch. 3 - For the ball in exercise E1: a. Through what...Ch. 3 - A large rock is dropped from the top of a high...Ch. 3 - Suppose Galileos pulse rate was 75 beats per...Ch. 3 - A ball is thrown downward with an initial velocity...Ch. 3 - A ball is dropped from a high building. Using the...Ch. 3 - A ball is thrown upward with an initial velocity...Ch. 3 - How high above the ground is the ball in exercise...Ch. 3 - At what time does the ball in exercise 7 reach the...Ch. 3 - Prob. 10ECh. 3 - A bullet is fired horizontally with an initial...Ch. 3 - A ball rolls off a shelf with a horizontal...Ch. 3 - A ball rolls off a table with a horizontal...Ch. 3 - A ball rolls off a table with a horizontal...Ch. 3 - A ball rolls off a platform that is 3 meters above...Ch. 3 - A projectile is fired at an angle such that the...Ch. 3 - A ball is thrown straight upward with an initial...Ch. 3 - Two balls are released simultaneously from the top...Ch. 3 - Two balls are rolled off a tabletop that is 0.7 m...Ch. 3 - A cannon is fired over level ground at an angle of...Ch. 3 - An excellent major league pitcher can throw a...Ch. 3 - An archeologist is running at 8 m/s with her hands...
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