Luke on Planet Tatooine throws a ball, and it follows the parabolic trajectory shown below. The ball’s velocity at t = 0 s is (4.0 m/s, 6.0 m/s). What is x- and y-components of the ball's velocity at t = 3
Luke on Planet Tatooine throws a ball, and it follows the parabolic trajectory shown below. The ball’s velocity at t = 0 s is (4.0 m/s, 6.0 m/s). What is x- and y-components of the ball's velocity at t = 3
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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Luke on Planet Tatooine throws a ball, and it follows the parabolic trajectory shown below. The ball’s velocity at t = 0 s is (4.0 m/s, 6.0 m/s). What is x- and y-components of the ball's velocity at t = 3 s?
![### Projectile Motion on Planet Tatooine
**Problem:**
Luke on Planet Tatooine throws a ball, and it follows the parabolic trajectory shown below. The ball’s velocity at \( t = 0 \) s is \( (4.0 \, \text{m/s}, 6.0 \, \text{m/s}) \). What are the x- and y-components of the ball's velocity at \( t = 3 \) s?
#### Diagram Explanation:
The diagram below illustrates the parabolic trajectory of the ball from the time Luke throws it until \( t = 3 \) s. The positions at \( t=1.0 \) s, \( t=2.0 \) s, and \( t=3.0 \) s are marked on the trajectory.
```
y
↑
2.0 s ●
| -
1.0 s ● -
| -
0.0 s ●───────────────→ x
| 1.0 s 2.0 s 3.0 s
(positions)
```
#### Question:
What are the x- and y-components of the ball's velocity \( v_x \) and \( v_y \) at \( t = 3 \) s?
#### Options for Velocity Components:
- A. -6 m/s
- B. 2 m/s
- C. -3 m/s
- D. -4 m/s
- E. 6 m/s
- F. 3 m/s
- G. 4 m/s
- H. -2 m/s
- I. 0 m/s
- J. not enough information
#### Answer Selection:
1. \( v_x \) is:
- [Dropdown with options: A, B, C, D, E, F, G, H, I, J]
2. \( v_y \) is:
- [Dropdown with options: A, B, C, D, E, F, G, H, I, J]
Use the given initial velocities and the time elapsed, considering the effects of gravity, to calculate the components of velocity at \( t = 3 \) s.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa85c71d6-009e-4578-ad16-02e89cb0414f%2F0117d4c2-71c7-4bff-8f26-f45e87c46850%2F105vggk_processed.png&w=3840&q=75)
Transcribed Image Text:### Projectile Motion on Planet Tatooine
**Problem:**
Luke on Planet Tatooine throws a ball, and it follows the parabolic trajectory shown below. The ball’s velocity at \( t = 0 \) s is \( (4.0 \, \text{m/s}, 6.0 \, \text{m/s}) \). What are the x- and y-components of the ball's velocity at \( t = 3 \) s?
#### Diagram Explanation:
The diagram below illustrates the parabolic trajectory of the ball from the time Luke throws it until \( t = 3 \) s. The positions at \( t=1.0 \) s, \( t=2.0 \) s, and \( t=3.0 \) s are marked on the trajectory.
```
y
↑
2.0 s ●
| -
1.0 s ● -
| -
0.0 s ●───────────────→ x
| 1.0 s 2.0 s 3.0 s
(positions)
```
#### Question:
What are the x- and y-components of the ball's velocity \( v_x \) and \( v_y \) at \( t = 3 \) s?
#### Options for Velocity Components:
- A. -6 m/s
- B. 2 m/s
- C. -3 m/s
- D. -4 m/s
- E. 6 m/s
- F. 3 m/s
- G. 4 m/s
- H. -2 m/s
- I. 0 m/s
- J. not enough information
#### Answer Selection:
1. \( v_x \) is:
- [Dropdown with options: A, B, C, D, E, F, G, H, I, J]
2. \( v_y \) is:
- [Dropdown with options: A, B, C, D, E, F, G, H, I, J]
Use the given initial velocities and the time elapsed, considering the effects of gravity, to calculate the components of velocity at \( t = 3 \) s.
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