A student fires a cannonball diagonally with a speed of 23.0m/s from a height of 65.0m as shown. Neglect drag. Determine all unknowns and answer the following questions. How long did the ball rise? 2.1 What was the ball's maximum height above the ground? 87.1 m How long did the ball remain in the air? 6.27 How far from the base of the building did the ball land? 58.7 m How fast was the ball moving as it struck the ground? m/s At what angle (with the horizontal) did the ball land? Calculate the magnitude of the angle between the final velocity vector and the nearest horizontal Answers should be between 0 and 90%

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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### Projectile Motion Exercise

A student fires a cannonball diagonally with a speed of 23.0 m/s from a height of 65.0 m. Neglecting air resistance, determine all unknowns and answer the following questions.

#### Questions and Answers

1. **How long did the ball rise?**
   - Answer: 2.1 s

2. **What was the ball's maximum height above the ground?**
   - Answer: 87.1 m

3. **How long did the ball remain in the air?**
   - Answer: 6.27 s

4. **How far from the base of the building did the ball land?**
   - Answer: 58.7 m

5. **How fast was the ball moving as it struck the ground?**
   - Answer: (This requires a calculation and is not immediately provided.)

6. **At what angle (with the horizontal) did the ball land?**
   - Answer: (A calculation is needed for the angle, which should be between 0° and 90°.)

#### Diagram Explanation

The diagram shows a stick figure standing on a building and firing a cannonball at a 66.0° angle from the horizontal. The trajectory of the cannonball is a curved path, indicating the parabolic nature of projectile motion. The point where the ball lands on the ground is marked with a green dot.

### Instructions

- Calculate the magnitude of the angle between the final velocity vector and the nearest horizontal. Answers should be between 0° and 90°.

This setup is designed to help students practice concepts related to projectile motion, including vertical and horizontal displacement, time of flight, and velocities.
Transcribed Image Text:### Projectile Motion Exercise A student fires a cannonball diagonally with a speed of 23.0 m/s from a height of 65.0 m. Neglecting air resistance, determine all unknowns and answer the following questions. #### Questions and Answers 1. **How long did the ball rise?** - Answer: 2.1 s 2. **What was the ball's maximum height above the ground?** - Answer: 87.1 m 3. **How long did the ball remain in the air?** - Answer: 6.27 s 4. **How far from the base of the building did the ball land?** - Answer: 58.7 m 5. **How fast was the ball moving as it struck the ground?** - Answer: (This requires a calculation and is not immediately provided.) 6. **At what angle (with the horizontal) did the ball land?** - Answer: (A calculation is needed for the angle, which should be between 0° and 90°.) #### Diagram Explanation The diagram shows a stick figure standing on a building and firing a cannonball at a 66.0° angle from the horizontal. The trajectory of the cannonball is a curved path, indicating the parabolic nature of projectile motion. The point where the ball lands on the ground is marked with a green dot. ### Instructions - Calculate the magnitude of the angle between the final velocity vector and the nearest horizontal. Answers should be between 0° and 90°. This setup is designed to help students practice concepts related to projectile motion, including vertical and horizontal displacement, time of flight, and velocities.
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