igure 1 of 1 Find the object's speeds v1, v2, and vz at times ti = 2.0 s, t2 = 4.0 s, and t3 = 13 s. %3| Express your answers in meters per second to two significant figures, separated by commas. x (m) 14 ΑΣφ ? 12 10 V1, V2, V3 = m/s, m/s, m/s 8 6. Submit Previous Answers Request Answer 4 2 X Incorrect; Try Again; One attempt remaining t (s) 2 4 6 8 10 12 14 16
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
![The inline mathematical notation presented is as follows:
\[ x_1, x_2, x_3, x_4 = 5, 7, 9, 0 \quad \text{m, m, m, m} \]
In this context:
- \( x_1, x_2, x_3, x_4 \) represent a set of variables.
- These variables are assigned the corresponding values 5, 7, 9, and 0 respectively.
- The unit of measurement for all values is meters (m).
To summarize, the variables \( x_1, x_2, x_3, x_4 \) take the values 5 meters, 7 meters, 9 meters, and 0 meters respectively.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6f5b5be0-3b24-4105-92aa-f99f327c1089%2F1d2a7483-6f68-42af-a1bf-31d91c3c04c5%2Fqaxiuoa.png&w=3840&q=75)
![### Speed Calculation from Displacement vs. Time Graph
On the left side of the screen, you can see a graph plotting displacement (x, in meters) versus time (t, in seconds). The blue curve on this graph represents the movement of an object over the given time period. Let's break down this graph:
#### Graph Details:
- **X-axis (t)**: Time in seconds (s), ranging from 0 to 17 seconds.
- **Y-axis (x)**: Displacement in meters (m), ranging from 0 to 14 meters.
#### Important Points of the Graph:
- At **t = 2s**, the displacement (x) is approximately 6 meters.
- At **t = 4s**, the displacement remains at approximately 6 meters.
- At **t = 13s**, the displacement is around 10 meters.
### Task:
Find the object's speeds \( v_1, v_2, \) and \( v_3 \) at times \( t_1 = 2.0 \, s \), \( t_2 = 4.0 \, s \), and \( t_3 = 13 \, s \).
### Instructions:
Express your answers in meters per second to two significant figures, separated by commas.
### Input Box:
- The input box prompts you to fill in the velocities in meters per second (m/s) in the format \( v_1, v_2, v_3 \).
### Submission:
- Once you've calculated the velocities, enter your answers and click the "Submit" button.
### Error Message:
- If your first attempt is incorrect, there is a message indicating "Incorrect; Try Again: One attempt remaining".
To solve this, measure the slope of the graph at the given times, which represents the velocity. Note that speeds are zero where the graph has horizontal segments and are calculated using rise over run (change in y over change in x) for other sections.
Using this information, you can proceed to find the speeds \( v_1, v_2, \) and \( v_3 \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6f5b5be0-3b24-4105-92aa-f99f327c1089%2F1d2a7483-6f68-42af-a1bf-31d91c3c04c5%2F74pmaav.png&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![College Physics](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
![University Physics (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780133969290/9780133969290_smallCoverImage.gif)
![Introduction To Quantum Mechanics](https://www.bartleby.com/isbn_cover_images/9781107189638/9781107189638_smallCoverImage.jpg)
![College Physics](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
![University Physics (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780133969290/9780133969290_smallCoverImage.gif)
![Introduction To Quantum Mechanics](https://www.bartleby.com/isbn_cover_images/9781107189638/9781107189638_smallCoverImage.jpg)
![Physics for Scientists and Engineers](https://www.bartleby.com/isbn_cover_images/9781337553278/9781337553278_smallCoverImage.gif)
![Lecture- Tutorials for Introductory Astronomy](https://www.bartleby.com/isbn_cover_images/9780321820464/9780321820464_smallCoverImage.gif)
![College Physics: A Strategic Approach (4th Editio…](https://www.bartleby.com/isbn_cover_images/9780134609034/9780134609034_smallCoverImage.gif)