How fast (i.e. initial speed) do you have to hit a baseball in Wrigley Field if you hit the ball at a 45angle 3 feet above the ground to go over the fence in straight center field? Some facts: Assume no air resistance and no wind (Yeah, right...), the distance from home plate to the center field wall is 400 feet, and the height of the wall (including the basket!) is 11.5 feet.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
icon
Related questions
icon
Concept explainers
Topic Video
Question
**Title: Calculating Initial Speed for a Baseball to Clear the Center Field Wall at Wrigley Field**

**Introduction:**
In this exercise, we will explore the physics of projectile motion to determine the initial speed required for a baseball to clear the center field wall at Wrigley Field when hit at a specific angle and height.

**Problem Statement:**
How fast (i.e., initial speed) must you hit a baseball at Wrigley Field to clear the fence in straight center field when hit at a 45-degree angle and 3 feet above the ground? 

**Given Data:**
- No air resistance or wind is considered.
- Distance from home plate to the center field wall is 400 feet.
- Height of the wall (including the basket) is 11.5 feet.
- Initial height of the ball when hit is 3 feet above the ground.

**Objective:**
To calculate the required initial speed to clear the center field wall.

**Approach:**
We will apply the principles of projectile motion, taking into account the given angle and initial height, to compute the necessary initial velocity for the ball to reach or surpass the specified wall height and distance.

**Note:** For educational purposes, this problem assumes ideal conditions without external influences like air resistance.
Transcribed Image Text:**Title: Calculating Initial Speed for a Baseball to Clear the Center Field Wall at Wrigley Field** **Introduction:** In this exercise, we will explore the physics of projectile motion to determine the initial speed required for a baseball to clear the center field wall at Wrigley Field when hit at a specific angle and height. **Problem Statement:** How fast (i.e., initial speed) must you hit a baseball at Wrigley Field to clear the fence in straight center field when hit at a 45-degree angle and 3 feet above the ground? **Given Data:** - No air resistance or wind is considered. - Distance from home plate to the center field wall is 400 feet. - Height of the wall (including the basket) is 11.5 feet. - Initial height of the ball when hit is 3 feet above the ground. **Objective:** To calculate the required initial speed to clear the center field wall. **Approach:** We will apply the principles of projectile motion, taking into account the given angle and initial height, to compute the necessary initial velocity for the ball to reach or surpass the specified wall height and distance. **Note:** For educational purposes, this problem assumes ideal conditions without external influences like air resistance.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Projectile motion
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON