## Understanding Velocity-Time Graphs for Motorcycles### Graph DescriptionThe 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 Analysis1. **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 AccelerationTo 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 \, \

ti = 0 s tf = 8 s The given graph is velocity vs time .

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.

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)...

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