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

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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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.
Transcribed Image Text: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.
### 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 \( v_3 \).
Transcribed Image Text:### 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 \( v_3 \).
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