A baseball pitcher throws a baseball with a speed of 39 m/s. In throwing the baseball, the pitcher accelerates it through a displacement of about 3.5 m, from behind the body to the point where it is released (see the figure(Eigure 1)). Part A Estimate the average acceleration of the ball during the throwing motion. Express your answer using two significant figures.
A baseball pitcher throws a baseball with a speed of 39 m/s. In throwing the baseball, the pitcher accelerates it through a displacement of about 3.5 m, from behind the body to the point where it is released (see the figure(Eigure 1)). Part A Estimate the average acceleration of the ball during the throwing motion. Express your answer using two significant figures.
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![### Estimating Average Acceleration of a Pitch
**Problem Statement:**
A baseball pitcher throws a baseball with a speed of 39 m/s. In throwing the baseball, the pitcher accelerates it through a displacement of about 3.5 m, from behind the body to the point where it is released (see the figure below).
**Figure 1:**
The figure illustrates the pitching motion. The pitcher is shown at two positions within the throwing motion:
- The starting position, where the ball is behind the pitcher's body.
- The point just before the ball is released forward.
The displacement of the ball during the throw is marked as 3.5 meters (m).
**Objective:**
Estimate the average acceleration of the ball during the throwing motion. Express your answer using two significant figures.
**Formulas:**
To solve the problem, we can use the kinematic equation that relates final velocity (\(v\)), initial velocity (\(u\)), acceleration (\(a\)), and displacement (\(s\)).
\[ v^2 = u^2 + 2as \]
Here:
- \( v \) is the final velocity (39 m/s)
- \( u \) is the initial velocity (0 m/s, assumed the ball starts from rest)
- \( s \) is the displacement (3.5 m)
Rearranging to solve for acceleration (\(a\)):
\[ a = \frac{v^2 - u^2}{2s} \]
**Input Box:**
The input box next to the formula icon is where you will enter your calculated average acceleration value in m/s².
**Attempts Feedback:**
If the attempt is incorrect, a message will appear indicating to try again, and the number of remaining attempts is noted (e.g., "Incorrect; Try Again; 4 attempts remaining").
**Instructions:**
1. Insert the given values into the equation.
2. Calculate the average acceleration.
3. Enter your answer with two significant figures.
4. Click "Submit" to check your answer.
**Example Calculation (not part of the educational material input):**
\[ a = \frac{(39 \, \text{m/s})^2 - (0 \, \text{m/s})^2}{2 \times 3.5 \, \text{m}} \]
\[ a = \frac{1521 \, \text{m}^2/\text](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffe12d47a-f1d5-457f-830c-a20bf48d1969%2F1e46230d-73a8-4566-8901-e1cbab073577%2F9vkcfub_processed.png&w=3840&q=75)
Transcribed Image Text:### Estimating Average Acceleration of a Pitch
**Problem Statement:**
A baseball pitcher throws a baseball with a speed of 39 m/s. In throwing the baseball, the pitcher accelerates it through a displacement of about 3.5 m, from behind the body to the point where it is released (see the figure below).
**Figure 1:**
The figure illustrates the pitching motion. The pitcher is shown at two positions within the throwing motion:
- The starting position, where the ball is behind the pitcher's body.
- The point just before the ball is released forward.
The displacement of the ball during the throw is marked as 3.5 meters (m).
**Objective:**
Estimate the average acceleration of the ball during the throwing motion. Express your answer using two significant figures.
**Formulas:**
To solve the problem, we can use the kinematic equation that relates final velocity (\(v\)), initial velocity (\(u\)), acceleration (\(a\)), and displacement (\(s\)).
\[ v^2 = u^2 + 2as \]
Here:
- \( v \) is the final velocity (39 m/s)
- \( u \) is the initial velocity (0 m/s, assumed the ball starts from rest)
- \( s \) is the displacement (3.5 m)
Rearranging to solve for acceleration (\(a\)):
\[ a = \frac{v^2 - u^2}{2s} \]
**Input Box:**
The input box next to the formula icon is where you will enter your calculated average acceleration value in m/s².
**Attempts Feedback:**
If the attempt is incorrect, a message will appear indicating to try again, and the number of remaining attempts is noted (e.g., "Incorrect; Try Again; 4 attempts remaining").
**Instructions:**
1. Insert the given values into the equation.
2. Calculate the average acceleration.
3. Enter your answer with two significant figures.
4. Click "Submit" to check your answer.
**Example Calculation (not part of the educational material input):**
\[ a = \frac{(39 \, \text{m/s})^2 - (0 \, \text{m/s})^2}{2 \times 3.5 \, \text{m}} \]
\[ a = \frac{1521 \, \text{m}^2/\text
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