A particle moves along the x-axis. The velocity of this particle as a function of time is shown in the figure. Assume the particle is located at x = 0 m at time t = 0 s. What is the acceleration of the particle at time t = 26.0 s? What is the position of the particle along the x-axis at time t = 26.0 s? What is the net displacement of the particle between time t = 8.0 s and t = 34.0 s? The image is a velocity vs. time graph. The graph illustrates how velocity changes over a 40-second period. Here is a detailed description:- **Axes**: - The horizontal axis represents time in seconds (s), ranging from 0 to 40 seconds. - The vertical axis represents velocity in meters per second (m/s), ranging from -2 m/s to 4 m/s.- **Velocity Changes**: - From 0 to 5 seconds, the velocity decreases from 0 m/s to -2 m/s. - From 5 to 15 seconds, the velocity increases from -2 m/s to 0 m/s. - From 15 to 20 seconds, the velocity drops back to -2 m/s. - From 20 to 25 seconds, the velocity increases sharply from -2 m/s to 0 m/s. - From 25 to 30 seconds, the velocity continues to increase steeply from 0 m/s to approximately 4 m/s. - From 30 to 40 seconds, the velocity slightly decreases from about 4 m/s to just above 3 m/s.- **Line Characteristics**: - The transitions between velocity states are depicted with straight lines, indicating constant acceleration or deceleration during each interval. - The graph includes a dashed horizontal line at 0 m/s to highlight when the velocity crosses from negative to positive values or vice versa.This graph can be used to study motion, interpret velocity changes, and understand concepts of acceleration.

Given:v-t graph of a particleAt t=0, x=0To find :a) Acceleration at t = 26 secb) Position at t = 26 secc) Displacement between t =8 sec and t = 34 seca) The acceleration at 26 sec is 0.8 m/s2 The position at 26 sec is -28.6 mThe displacement from 8 sec to 34 sec is 13.8 m

Answered: A particle moves along the x-axis. The…

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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A particle moves along the x-axis. The velocity of this particle as a function of time is shown in the figure. Assume the particle is located at x = 0 m at time t = 0 s. What is the acceleration of the particle at time t = 26.0 s? What is the position of the particle along the x-axis at time t = 26.0 s? What is the net displacement of the particle between time t = 8.0 s and t = 34.0 s?

The image is a velocity vs. time graph. The graph illustrates how velocity changes over a 40-second period. Here is a detailed description:

- **Axes**:
- The horizontal axis represents time in seconds (s), ranging from 0 to 40 seconds.
- The vertical axis represents velocity in meters per second (m/s), ranging from -2 m/s to 4 m/s.

- **Velocity Changes**:
- From 0 to 5 seconds, the velocity decreases from 0 m/s to -2 m/s.
- From 5 to 15 seconds, the velocity increases from -2 m/s to 0 m/s.
- From 15 to 20 seconds, the velocity drops back to -2 m/s.
- From 20 to 25 seconds, the velocity increases sharply from -2 m/s to 0 m/s.
- From 25 to 30 seconds, the velocity continues to increase steeply from 0 m/s to approximately 4 m/s.
- From 30 to 40 seconds, the velocity slightly decreases from about 4 m/s to just above 3 m/s.

- **Line Characteristics**:
- The transitions between velocity states are depicted with straight lines, indicating constant acceleration or deceleration during each interval.
- The graph includes a dashed horizontal line at 0 m/s to highlight when the velocity crosses from negative to positive values or vice versa.

This graph can be used to study motion, interpret velocity changes, and understand concepts of acceleration.

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