Need help finding the velocities for the values. I believe the angle is 45 degrees. Thanks!

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)...
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Need help finding the velocities for the values. I believe the angle is 45 degrees. Thanks! 

### Lab 5: Two-Dimensional Motion

#### Objectives:
- To study two-dimensional motion
- To understand the vector nature of velocity
- To understand the independence of motion in the x- and y-directions

#### Equipment:
- Ballistic gun
- Plain paper
- Carbon paper
- Meter stick

#### Lab Overview:
In this lab, you will be firing a ball from a ballistic gun. The set-up is shown in the picture below. You can vary the initial angle and measure the initial height and the distance the ball travels in the x direction. You will be making measurements in order to determine the initial velocity of the ball. You will also examine the dependence of the distance traveled in the x-direction on the initial angle.

#### Diagram Explanation:
The diagram, labeled as FIGURE 1: "Projectile Motion," illustrates the experimental setup for studying two-dimensional motion. Key components and details in the diagram include:

- **Trigger & Plumb**: Components of the ballistic gun used to launch the ball.
- **Ballistic Gun**: Mounted on a table top, used to fire the projectile at various angles.
- **Projectile Path**: The arched trajectory the ball follows after being fired, illustrating projectile motion.
- **Initial Height (H)**: The vertical distance from the table top to the ground, where measurements will be made.
- **Range (R)**: The horizontal distance from the launch point to where the ball lands.
- **X and Y Axes**: The coordinate system used to measure the horizontal (X-axis) and vertical (Y-axis) displacements of the projectile.

Understanding this diagram is crucial for setting up the experiment correctly and making precise measurements to analyze the motion of the projectile.
Transcribed Image Text:### Lab 5: Two-Dimensional Motion #### Objectives: - To study two-dimensional motion - To understand the vector nature of velocity - To understand the independence of motion in the x- and y-directions #### Equipment: - Ballistic gun - Plain paper - Carbon paper - Meter stick #### Lab Overview: In this lab, you will be firing a ball from a ballistic gun. The set-up is shown in the picture below. You can vary the initial angle and measure the initial height and the distance the ball travels in the x direction. You will be making measurements in order to determine the initial velocity of the ball. You will also examine the dependence of the distance traveled in the x-direction on the initial angle. #### Diagram Explanation: The diagram, labeled as FIGURE 1: "Projectile Motion," illustrates the experimental setup for studying two-dimensional motion. Key components and details in the diagram include: - **Trigger & Plumb**: Components of the ballistic gun used to launch the ball. - **Ballistic Gun**: Mounted on a table top, used to fire the projectile at various angles. - **Projectile Path**: The arched trajectory the ball follows after being fired, illustrating projectile motion. - **Initial Height (H)**: The vertical distance from the table top to the ground, where measurements will be made. - **Range (R)**: The horizontal distance from the launch point to where the ball lands. - **X and Y Axes**: The coordinate system used to measure the horizontal (X-axis) and vertical (Y-axis) displacements of the projectile. Understanding this diagram is crucial for setting up the experiment correctly and making precise measurements to analyze the motion of the projectile.
### Investigation 1: Initial Velocity of the Ball

#### Investigation 1.1
Now carry out the experiment of finding the initial velocity of the ball as it leaves the gun. The spring-loaded gun has three settings. **Do not cock the gun past the first setting.** Also, **do not look down the barrel of the gun once it has been cocked.** Refer to Exploration 1.2 and make the measurements you need to determine the initial velocity of the ball when it is released from the gun. Measure the distance in the x-direction at least three times and take the average. Record your measurements from both the x- and y-directions in the table below or create your own table. (You may not need to use the whole table.) Choose appropriate row and column headings as needed.

| Y (cm) | X (cm) | V (m/s) |
|--------|--------|---------|
| 89.5   | 104.2  |         |
| 89.5   | 105.7  |         |
| 89.5   | 106.4  |         |
| 89.5   | 105.5  |         |
| 89.5   | 105.5  |         |

#### Investigation 1.2
Determine the initial velocity of the ball when it leaves the gun. Show your work and record the result in the space below.

---

**Explanation of Table and Directions:**

- The table provided is meant to record the distances the ball travels in the y (vertical) and x (horizontal) directions after being shot from the gun. 
- Y (cm) represents the vertical distance in centimeters.
- X (cm) represents the horizontal distance in centimeters.
- V (m/s) is meant to represent the initial velocity in meters per second, which you will calculate.
- Consistent values of 89.5 cm for y indicate vertical measurements that are kept constant.
- The X values show slight variations in the horizontal distance covered by the ball, indicating the need to average these distances to use in calculations.

Follow safety instructions and ensure accurate measurements for precise calculations.
Transcribed Image Text:### Investigation 1: Initial Velocity of the Ball #### Investigation 1.1 Now carry out the experiment of finding the initial velocity of the ball as it leaves the gun. The spring-loaded gun has three settings. **Do not cock the gun past the first setting.** Also, **do not look down the barrel of the gun once it has been cocked.** Refer to Exploration 1.2 and make the measurements you need to determine the initial velocity of the ball when it is released from the gun. Measure the distance in the x-direction at least three times and take the average. Record your measurements from both the x- and y-directions in the table below or create your own table. (You may not need to use the whole table.) Choose appropriate row and column headings as needed. | Y (cm) | X (cm) | V (m/s) | |--------|--------|---------| | 89.5 | 104.2 | | | 89.5 | 105.7 | | | 89.5 | 106.4 | | | 89.5 | 105.5 | | | 89.5 | 105.5 | | #### Investigation 1.2 Determine the initial velocity of the ball when it leaves the gun. Show your work and record the result in the space below. --- **Explanation of Table and Directions:** - The table provided is meant to record the distances the ball travels in the y (vertical) and x (horizontal) directions after being shot from the gun. - Y (cm) represents the vertical distance in centimeters. - X (cm) represents the horizontal distance in centimeters. - V (m/s) is meant to represent the initial velocity in meters per second, which you will calculate. - Consistent values of 89.5 cm for y indicate vertical measurements that are kept constant. - The X values show slight variations in the horizontal distance covered by the ball, indicating the need to average these distances to use in calculations. Follow safety instructions and ensure accurate measurements for precise calculations.
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