22 4a **Part A**If the ball is in contact with the player's head for 6.7 ms, what is the direction of the impulse delivered to the ball?\[\theta = \quad \text{° from the } +x\text{-axis}\]*Input area with mathematical symbols available for entry.*Buttons include:- Symbol palette for complex expressions.- Undo, redo, and reset options.- Keyboard input option.Options:- **Submit** button for answer submission.- **Request Answer** link for solution assistance. A player bounces a 0.42-kg soccer ball off her head, changing the velocity of the ball from \(\vec{v}_i = (8.2 \, \text{m/s}) \hat{i} + (-2.3 \, \text{m/s}) \hat{j}\) to \(\vec{v}_f = (5.0 \, \text{m/s}) \hat{i} + (3.6 \, \text{m/s}) \hat{j}\).

Name: 22 4a **Part A**If the ball is in contact with the player's head for 6
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Description: 22 4a **Part A**If the ball is in contact with the player's head for 6.7 ms, what is the direction of the impulse delivered to the ball?\[\theta = \quad \text{° from the } +x\text{-axis}\]*Input area with mathematical symbols available for entry.*But

mass of ball = 0.42 kg Initial velocity (vi→) = [ 8.2 x^ - 2.3y^ ]msFinal velocity (vf→) = 5x^ + 3.6 y^ mstime of contact = 6.7 ms A) Direction of impulse = direction of change of momentum = direction of change of velocity The change of velocity = vf→ - vi→= 5x^ + 3.6 y^ - [ 8.2 x^ - 2.3y^ ]ms= -3.2x^ + 5.9y^Thus, direction of change of velocity = 180o - Tan-1(5.93.2) = 180o - 61.53o= 118.47o from + x axis Therefore, the direction of impulse delivered to ball = 118.47o from + x axis.

Answered: A player bounces a 0.42-kg soccer ball…

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A player bounces a 0.42-kg soccer ball off her head, changing the velocity of the ball from vi (8.2 m/s )âu + ( -2.3 m/s )âŷ to vf = (5.0 m/s )â + (3.6 m/s )ŷ. %3D

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter8: Momentum And Collisions

Section: Chapter Questions

Problem 31P

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22 4a

**Part A**

If the ball is in contact with the player's head for 6.7 ms, what is the direction of the impulse delivered to the ball?

\[
\theta = \quad \text{° from the } +x\text{-axis}
\]

*Input area with mathematical symbols available for entry.*

Buttons include:
- Symbol palette for complex expressions.
- Undo, redo, and reset options.
- Keyboard input option.

Options:
- **Submit** button for answer submission.
- **Request Answer** link for solution assistance.

A player bounces a 0.42-kg soccer ball off her head, changing the velocity of the ball from \(\vec{v}_i = (8.2 \, \text{m/s}) \hat{i} + (-2.3 \, \text{m/s}) \hat{j}\) to \(\vec{v}_f = (5.0 \, \text{m/s}) \hat{i} + (3.6 \, \text{m/s}) \hat{j}\).

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