The image contains a physics problem related to the motion of a particle along the x-axis. It displays a position versus time graph, and the task is to calculate the average velocity over specific time intervals.### Problem Statement:The position versus time for a certain particle moving along the x-axis is shown in the figure below. Find the average velocity in the following time intervals.### Graph Description:- **Axes:** - The horizontal axis represents time in seconds (s), ranging from 0 to 7 seconds. - The vertical axis represents position in meters (m), ranging from -4 to 10 meters. - **Graph Details:** - The plot starts at the origin (0, 0). - The position increases linearly, reaching approximately (2, 8). - The particle remains at 8 meters between 2 and 3 seconds. - From 3 to 5 seconds, the position decreases linearly back to 0 meters. - The position further decreases to approximately -2 meters by 7 seconds.### Questions:Calculate the average velocity for the particle over the following time intervals:- (a) 0 to 2 seconds- (b) 0 to 3 seconds- (c) 2 to 5 seconds- (d) 2 to 7 seconds- (e) 0 to 7 secondsAverage velocity can be calculated using the formula:\[ \text{Average Velocity} = \frac{\Delta x}{\Delta t} \]where $ \Delta x $ is the change in position and $ \Delta t $ is the change in time. Fill in the blanks for each specified interval with the calculated average velocity in meters per second (m/s).

The position time graph for a certain particle is shown in figure slope of this graph gives average…

The position versus time for a certain particle moving along the x axis is shown in the fiqure below. Find the average velocity in the following time intervals. x (m) 10 8 4 2 t (s) 1 2 3 4 5 78 -2 -4 -6 (a) o to 2 s m/s (b) o to 3 s m/s (c) a to 6 s m/s (d) 2 to 7 s m/s (e) o to 7 s m/s

The position versus time for a certain particle moving along the x axis is shown in the fiqure below. Find the average velocity in the following time intervals. x (m) 10 8 4 2 t (s) 1 2 3 4 5 78 -2 -4 -6 (a) o to 2 s m/s (b) o to 3 s m/s (c) a to 6 s m/s (d) 2 to 7 s m/s (e) o to 7 s m/s

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

Relative Velocity

It is a measurement of an object with regards to the other object which is moving or stable or stationary. For example, if we are traveling in a bus and the bus is moving at speed of 50km/hr, then our speed is according to the nearby passenger on the bus is zero. According to them, we are not moving. But if one person standing on the ground or road observes us from outside of the bus, according to him we are moving at a speed of 50km/hr and the bus is also moving at a speed of 50km/hr. Now, the motion is recognized by the observer, it depends on a frame of reference or observer. This is motion called relative motion.

Question

The image contains a physics problem related to the motion of a particle along the x-axis. It displays a position versus time graph, and the task is to calculate the average velocity over specific time intervals.

### Problem Statement:
The position versus time for a certain particle moving along the x-axis is shown in the figure below. Find the average velocity in the following time intervals.

### Graph Description:
- **Axes:**
- The horizontal axis represents time in seconds (s), ranging from 0 to 7 seconds.
- The vertical axis represents position in meters (m), ranging from -4 to 10 meters.

- **Graph Details:**
- The plot starts at the origin (0, 0).
- The position increases linearly, reaching approximately (2, 8).
- The particle remains at 8 meters between 2 and 3 seconds.
- From 3 to 5 seconds, the position decreases linearly back to 0 meters.
- The position further decreases to approximately -2 meters by 7 seconds.

### Questions:
Calculate the average velocity for the particle over the following time intervals:

- (a) 0 to 2 seconds
- (b) 0 to 3 seconds
- (c) 2 to 5 seconds
- (d) 2 to 7 seconds
- (e) 0 to 7 seconds

Average velocity can be calculated using the formula:

\[ \text{Average Velocity} = \frac{\Delta x}{\Delta t} \]

where $ \Delta x $ is the change in position and $ \Delta t $ is the change in time. Fill in the blanks for each specified interval with the calculated average velocity in meters per second (m/s).

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