At which point is the horizontal velocity the greatest?

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ISBN:9781305952300
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Chapter1: Units, Trigonometry. And Vectors
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At which point is the horizontal velocity the greatest?
### Projectile Motion and Horizontal Velocity

The image above depicts a projectile's motion as it is launched off a cliff. The diagram shows the trajectory of the projectile and marks specific points with their corresponding coordinates. The graph is plotted on a Cartesian plane with an x-axis (horizontal distance) and a y-axis (vertical distance) in meters.

#### Detailed Explanation of the Diagram:
- A cannon is positioned on a cliff, extending to the right side of the diagram.
- The y-axis represents the vertical drop from the launch point (in meters), while the x-axis represents the horizontal distance travelled by the projectile (also in meters).
- The projectile's path is depicted by a series of blue points, each labeled with specific coordinates:
  - (20m, -5m)
  - (40m, -20m)
  - (60m, -45m)
  - (80m, -80m)
  - (100m, -125m)
- The cliff is shown on the left, illustrating the vertical height from which the projectile is launched.

#### Question:
**At which point is the horizontal velocity the greatest?**

##### Answer Choices:
1. ○ 80m, -80m
2. ○ The horizontal velocity is the same at all points on the path.
3. ○ 60m, -45m
4. ○ 20m, -5m

The correct answer is: 
- **The horizontal velocity is the same at all points on the path.**

**Explanation:**
In projectile motion, if we neglect air resistance, the horizontal velocity of a projectile remains constant throughout its flight. This is due to the absence of horizontal acceleration (assuming air resistance is negligible). Therefore, regardless of the projectile's position on its path, its horizontal component of velocity will stay the same.

This example illustrates important concepts in physics related to projectile motion, including the independence of horizontal and vertical motions and the constancy of horizontal velocity in the absence of air resistance.
Transcribed Image Text:### Projectile Motion and Horizontal Velocity The image above depicts a projectile's motion as it is launched off a cliff. The diagram shows the trajectory of the projectile and marks specific points with their corresponding coordinates. The graph is plotted on a Cartesian plane with an x-axis (horizontal distance) and a y-axis (vertical distance) in meters. #### Detailed Explanation of the Diagram: - A cannon is positioned on a cliff, extending to the right side of the diagram. - The y-axis represents the vertical drop from the launch point (in meters), while the x-axis represents the horizontal distance travelled by the projectile (also in meters). - The projectile's path is depicted by a series of blue points, each labeled with specific coordinates: - (20m, -5m) - (40m, -20m) - (60m, -45m) - (80m, -80m) - (100m, -125m) - The cliff is shown on the left, illustrating the vertical height from which the projectile is launched. #### Question: **At which point is the horizontal velocity the greatest?** ##### Answer Choices: 1. ○ 80m, -80m 2. ○ The horizontal velocity is the same at all points on the path. 3. ○ 60m, -45m 4. ○ 20m, -5m The correct answer is: - **The horizontal velocity is the same at all points on the path.** **Explanation:** In projectile motion, if we neglect air resistance, the horizontal velocity of a projectile remains constant throughout its flight. This is due to the absence of horizontal acceleration (assuming air resistance is negligible). Therefore, regardless of the projectile's position on its path, its horizontal component of velocity will stay the same. This example illustrates important concepts in physics related to projectile motion, including the independence of horizontal and vertical motions and the constancy of horizontal velocity in the absence of air resistance.
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