The figure shows the velocity-versus-time graph for a motorcycle moving along the x-axis. vx(m/s) 8 4 0 + 0 6 8 10 t(s) 2 4 What is the average acceleration of the motorcycle during the time interval t = 0 : t = 8 s measured in m/s².

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)...
icon
Related questions
Question
## Understanding Velocity-Time Graphs for Motorcycles

### Graph Description

The figure illustrates a velocity-versus-time (v\_x vs t) graph for a motorcycle moving along the x-axis. The graph provides a visual representation of how the motorcycle's velocity changes over time.

- **Y-Axis (v\_x)**: Represents the velocity of the motorcycle in meters per second (m/s).
- **X-Axis (t)**: Represents the time elapsed in seconds (s).

### Graph Analysis

1. **Initial Velocity**: At time t = 0 seconds, the velocity (v\_x) of the motorcycle is 8 m/s.
2. **Constant Velocity**: From t = 0 to t = 6 seconds, the motorcycle maintains a constant velocity of 8 m/s. This is depicted by the horizontal line on the graph.
3. **Deceleration Phase**: From t = 6 seconds to t = 8 seconds, the velocity decreases linearly from 8 m/s to 0 m/s. The line segment sloping downward indicates this deceleration.

### Calculating Average Acceleration

To determine the average acceleration of the motorcycle during the time interval from t = 0 to t = 8 seconds, use the formula for average acceleration:

\[ a_{avg} = \frac{\Delta v}{\Delta t} \]

Where:
- \(\Delta v\) represents the change in velocity.
- \(\Delta t\) represents the change in time.

Given:
- Initial velocity (v\_i) = 8 m/s
- Final velocity (v\_f) = 0 m/s (at t = 8 s)
- Initial time (t\_i) = 0 s
- Final time (t\_f) = 8 s

\[ \Delta v = v_f - v_i = 0 \, \text{m/s} - 8 \, \text{m/s} = -8 \, \text{m/s} \]

\[ \Delta t = t_f - t_i = 8 \, \text{s} - 0 \, \text{s} = 8 \, \text{s} \]

Now, calculating the average acceleration:

\[ a_{avg} = \frac{-8 \, \text{m/s}}{8 \, \text{s}} = -1 \, \
Transcribed Image Text:## Understanding Velocity-Time Graphs for Motorcycles ### Graph Description The figure illustrates a velocity-versus-time (v\_x vs t) graph for a motorcycle moving along the x-axis. The graph provides a visual representation of how the motorcycle's velocity changes over time. - **Y-Axis (v\_x)**: Represents the velocity of the motorcycle in meters per second (m/s). - **X-Axis (t)**: Represents the time elapsed in seconds (s). ### Graph Analysis 1. **Initial Velocity**: At time t = 0 seconds, the velocity (v\_x) of the motorcycle is 8 m/s. 2. **Constant Velocity**: From t = 0 to t = 6 seconds, the motorcycle maintains a constant velocity of 8 m/s. This is depicted by the horizontal line on the graph. 3. **Deceleration Phase**: From t = 6 seconds to t = 8 seconds, the velocity decreases linearly from 8 m/s to 0 m/s. The line segment sloping downward indicates this deceleration. ### Calculating Average Acceleration To determine the average acceleration of the motorcycle during the time interval from t = 0 to t = 8 seconds, use the formula for average acceleration: \[ a_{avg} = \frac{\Delta v}{\Delta t} \] Where: - \(\Delta v\) represents the change in velocity. - \(\Delta t\) represents the change in time. Given: - Initial velocity (v\_i) = 8 m/s - Final velocity (v\_f) = 0 m/s (at t = 8 s) - Initial time (t\_i) = 0 s - Final time (t\_f) = 8 s \[ \Delta v = v_f - v_i = 0 \, \text{m/s} - 8 \, \text{m/s} = -8 \, \text{m/s} \] \[ \Delta t = t_f - t_i = 8 \, \text{s} - 0 \, \text{s} = 8 \, \text{s} \] Now, calculating the average acceleration: \[ a_{avg} = \frac{-8 \, \text{m/s}}{8 \, \text{s}} = -1 \, \
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Distance and Speed
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON