### Projectile Motion ExerciseA 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 Answers1. **How long did the ball rise?** - Answer: 2.1 s2. **What was the ball's maximum height above the ground?** - Answer: 87.1 m3. **How long did the ball remain in the air?** - Answer: 6.27 s4. **How far from the base of the building did the ball land?** - Answer: 58.7 m5. **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 ExplanationThe 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.

Given that the initial velocity of the projectile is u=23m/s The initial height of the projectile is…

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%

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

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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Concept explainers

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.

Question

### 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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