**Projectile Motion and Relative Motion**1. You want to see if you can throw a rock across a ravine that is 19.4 m wide. The other side of the cliff is 5.9 m below your side. You throw the rock at 12.1 m/s, 45° above the horizontal. a. How much time does it take for the rock to travel the horizontal distance between the two edges of the ravine? b. What is the vertical position of the rock at this time? c. Does the rock land on the other side or does it hit the cliff and fall into the ravine? d. How far in front of the second cliff or past the edge of the second cliff does the rock land? e. How fast is the rock moving at this time? f. What angle below the horizontal is it moving at?---If any graphs or diagrams related to the projectile motion and relative motion are available, here is how to interpret them:1. **Graphs/Diagrams (Hypothetical Description)**: - **Projectile Path Diagram**: A typical diagram showing the projectile path (parabolic trajectory of the rock thrown). The starting point (the throw) would be illustrated at 45° upward with an initial velocity of 12.1 m/s. - **Horizontal vs. Vertical Position Graph**: A graph showing the rock’s horizontal distance on the x-axis and its vertical position on the y-axis. It illustrates the height of the two cliff edges, the initial position, the projectile's peak height, and where it lands. - **Velocity Components Diagram**: Another possible graph displaying the velocity components (initial horizontal and vertical velocities) and how they change over time due to gravity.These diagrams or graphs will help visualize the problem, determine the time of flight, and calculate the final position and velocity of the rock.

Given:- the rock is projectile with the velocity v = 12.1 m/s at the angle of 45o. The ravine is…

Projectile Motion and Relative Motion 1. You want to see if you can throw a rock across a ravine that is 19.4 m wide. The other side of the cliff is 5.9 m below your side. You throw the rock at 12.1 a. How much time does it take for the rock to travel the horizontal distance between the two edges of 45° above the horizontal. the ravine? b. What is the vertical position of the rock at this time?

Projectile Motion and Relative Motion 1. You want to see if you can throw a rock across a ravine that is 19.4 m wide. The other side of the cliff is 5.9 m below your side. You throw the rock at 12.1 a. How much time does it take for the rock to travel the horizontal distance between the two edges of 45° above the horizontal. the ravine? b. What is the vertical position of the rock at this time?

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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Question

**Projectile Motion and Relative Motion**

1. You want to see if you can throw a rock across a ravine that is 19.4 m wide. The other side of the cliff is 5.9 m below your side. You throw the rock at 12.1 m/s, 45° above the horizontal.

a. How much time does it take for the rock to travel the horizontal distance between the two edges of the ravine?

b. What is the vertical position of the rock at this time?

c. Does the rock land on the other side or does it hit the cliff and fall into the ravine?

d. How far in front of the second cliff or past the edge of the second cliff does the rock land?

e. How fast is the rock moving at this time?

f. What angle below the horizontal is it moving at?

---
If any graphs or diagrams related to the projectile motion and relative motion are available, here is how to interpret them:

1. **Graphs/Diagrams (Hypothetical Description)**:
- **Projectile Path Diagram**: A typical diagram showing the projectile path (parabolic trajectory of the rock thrown). The starting point (the throw) would be illustrated at 45° upward with an initial velocity of 12.1 m/s.
- **Horizontal vs. Vertical Position Graph**: A graph showing the rock’s horizontal distance on the x-axis and its vertical position on the y-axis. It illustrates the height of the two cliff edges, the initial position, the projectile's peak height, and where it lands.
- **Velocity Components Diagram**: Another possible graph displaying the velocity components (initial horizontal and vertical velocities) and how they change over time due to gravity.

These diagrams or graphs will help visualize the problem, determine the time of flight, and calculate the final position and velocity of the rock.

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