## 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)...

See similar textbooks

Similar questions

A car is moving in constant motion along the positive x-direction on a straight and level road. For the first 4.0 seconds of its motion, the average velocity of the car is vav-x = 8 m/s. How far did the car travel in the first 3.0 seconds?
I am trying to find the total displacement of the graph
Shown below is a graph of velocity-versus-time for a moving object. The object starts at position x = 0 m at t = 0 s. What is the final position at t = 4.0 s, in meters?
A body is moving in a straight line as shown in velocity-time graph. The displacement and distance travelled by body in 8 s are respectively. 1 4 8 t(s) (a) 12 m, 20 m (c) 12 m, 12 m (b) 20 m, 12 m (d) 20 m, 20 m Velocity (m/s) 4 20 24
A particle has a velocity of v= (3i+5j)m/s and a constant acceleration of a=(-1.5i-4.5j)m/s^2 What is its velocity after 2 seconds? Is it moving faster or slower after 2 seconds?
A particle's position along the x-axis is given by the equation; x(t) = 1t4 + 1t² +8 where x is in meters and t is in seconds. What is this particles average acceleration between t = 1s and t = 3s? Please express your answer with zero decimal places in units of m/s². Answer:
An object moves along the x axis according to the equation x3,75t²- 2.00 +3.00, where x is in meters and it is in seconds. (a) Determine the average speed between t= 1.80 s and t = 2.90 s. m/s (b) Determine the instantaneous speed at t = 1.80 s. m/s Determine the instantaneous speed at t = 2.90 s. m/s (c) Determine the average acceleration between t = 1.80 s and t = 2.90 s. m/s²
The velocity of a toy car moving along as straight path is shown in the figure. Match the numbers according to the graph. Assume the numbers in the choices are followed by proper units (not shown), i.e., distance in [m], speed or velocity in [m/s], and acceleration in [m/s^2].
A graph of 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. x (m) 10 8 1000049 2 M 1 2 3 4 5 6 7/8 (d) 4.00 s to 7.00 s m/s (e) 0 to 8.00 s m/s
The velocity V of a small vèhicle was measured, starting from rest. t (s): 0.0 2.5 5.0 7.5 10 V 0.00 0.87 2.49 5.52 11.18 (m/s): What is a reasonable estimate of the acceleration of the vehicle at t = 6.7 s?
The graph below shows the motion of an object. The average speed for the whole journey is 12 m/s. Find the time of acceleration, t, of the object. velocity / m s-1 A 20 ㅇ 20 time / s t O 10 s O 14 s O 12 s O 16 s
Starting at x = - 14 m at time t = 0 s, an object takes 17 s to travel 42 m in the +x direction at a constant velocity. On a sheet of paper, make a position vs. time graph of the object's motion. What is its velocity