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To describe the motion of a particle along a straight line, it is often convenient to draw a graph representing the position of the particle at different times. This type of graph is usually referred to as an x vs. t graph. To draw such a graph, choose an axis system in which time t is plotted on the horizontal axis and position a on the vertical axis. Then, indicate the values of x at various times t. Mathematically, this corresponds to plotting the variable a as a function of t. An example of a graph of position as a function of time for a particle traveling along a straight line is shown below. Note that an x vs. t graph like this does not represent the path of the particle in space. Now let's study the graph shown in the figure in more detail. Refer to this graph to answer Parts A, B, and С. x (m) 40 30 20 10 t (s) 50 10 30 40 Part A What is the overall displacement Ax of the particle? Express your answer in meters. • View Available Hint(s) ΑΣΦ ? Ax = m Submit Part B What is the average velocity vay of the particle over the time interval At = 50.0 s ? Express your answer in meters per second. • View Available Hint(s) ? Vav = m/s 20

To describe the motion of a particle along a straight line, it is often convenient to draw a graph representing the position of the particle at different times. This type of graph is usually referred to as an x vs. t graph. To draw such a graph, choose an axis system in which time t is plotted on the horizontal axis and position a on the vertical axis. Then, indicate the values of x at various times t. Mathematically, this corresponds to plotting the variable a as a function of t. An example of a graph of position as a function of time for a particle traveling along a straight line is shown below. Note that an x vs. t graph like this does not represent the path of the particle in space. Now let's study the graph shown in the figure in more detail. Refer to this graph to answer Parts A, B, and С. x (m) 40 30 20 10 t (s) 50 10 30 40 Part A What is the overall displacement Ax of the particle? Express your answer in meters. • View Available Hint(s) ΑΣΦ ? Ax = m Submit Part B What is the average velocity vay of the particle over the time interval At = 50.0 s ? Express your answer in meters per second. • View Available Hint(s) ? Vav = m/s 20

College Physics
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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What's the answer for part A, B, C and D

Bl 24% 0 9:11 pm Scores To describe the motion of a particle along a straight line, it is often convenient to draw a graph representing the position of the particle at different times. This type of graph is usually referred to as an x vs. t graph. To draw such a graph, choose an axis system in which timet is plotted on the horizontal axis and position x on the vertical axis. Then, indicate the values of x at various times t. Mathematically, this corresponds to plotting the variable x as a function of t. An example of a graph of position as a function of time for a particle traveling along a straight line is shown below. Note that an vs. t graph like this does not represent the path of the particle in space. Pearson eText Study Area Document Sharing User Settings Course Tools > Now let's study the graph shown in the figure in more detail. Refer to this graph to answer Parts A, B, and С. x (m) 40 30 10 t (s) 50 10 20 30 40 Part A What is the overall displacement Ax of the particle? Express your answer in meters. • View Available Hint(s) ? Ax = m Submit Part B What is the average velocity vay of the particle over the time interval At = 50.0 s ? Express your answer in meters per second. • View Available Hint(s) ν ΑΣΦ ? Vay = m/s P Pearson Copyright © 2021 Pearson Education Inc. All rights reserved. | Terms of Use | Privacy Policy | Permissions | Contact Us 20
Transcribed Image Text:Bl 24% 0 9:11 pm Scores To describe the motion of a particle along a straight line, it is often convenient to draw a graph representing the position of the particle at different times. This type of graph is usually referred to as an x vs. t graph. To draw such a graph, choose an axis system in which timet is plotted on the horizontal axis and position x on the vertical axis. Then, indicate the values of x at various times t. Mathematically, this corresponds to plotting the variable x as a function of t. An example of a graph of position as a function of time for a particle traveling along a straight line is shown below. Note that an vs. t graph like this does not represent the path of the particle in space. Pearson eText Study Area Document Sharing User Settings Course Tools > Now let's study the graph shown in the figure in more detail. Refer to this graph to answer Parts A, B, and С. x (m) 40 30 10 t (s) 50 10 20 30 40 Part A What is the overall displacement Ax of the particle? Express your answer in meters. • View Available Hint(s) ? Ax = m Submit Part B What is the average velocity vay of the particle over the time interval At = 50.0 s ? Express your answer in meters per second. • View Available Hint(s) ν ΑΣΦ ? Vay = m/s P Pearson Copyright © 2021 Pearson Education Inc. All rights reserved. | Terms of Use | Privacy Policy | Permissions | Contact Us 20
Bl 24% Ô 9:12 pm Submit Scores Pearson eText Part C Study Area What is the instantaneous velocity v of the particle at t = 10.0 s? Document Sharing Express your answer in meters per second. User Settings • View Available Hint(s) Course Tools > ν ΑΣΦ ? V = m/s Submit Another common graphical representation of motion along a straight line is the v vs. t graph, that is, the graph of (instantaneous) velocity as a function of time. In this graph, time t is plotted on the horizontal axis and velocity v on the vertical axis. Note that by definition, velocity and acceleration are vector quantities. In straight-line motion, however, these vectors have only one nonzero component in the direction of motion. Thus, in this problem, we will call v the velocity and a the acceleration, even though they are really the components of the velocity and acceleration vectors in the direction of motion. Part D Which of the graphs shown is the correct v vs. t plot for the motion described in the previous parts? A v (m/s) v (m/s) 0.8 0.8 0.6 0.6 0.4 0.4 0.2 0.2 t (s) 10 20 30 40 50 t (s) 10 20 30 40 50 C D v (m/s) v (m/s) 0.8 0.8 0.6 0.6 0.4 0.4 0.2 0.2 (s) 10 20 30 40 50 (s) 10 20 30 40 50 • View Available Hint(s) Cranh Pearson Copyright © 2021 Pearson Education Inc. All rights reserved. | Terms of Use I Privacy Policy Permissions I Contact Us 804
Transcribed Image Text:Bl 24% Ô 9:12 pm Submit Scores Pearson eText Part C Study Area What is the instantaneous velocity v of the particle at t = 10.0 s? Document Sharing Express your answer in meters per second. User Settings • View Available Hint(s) Course Tools > ν ΑΣΦ ? V = m/s Submit Another common graphical representation of motion along a straight line is the v vs. t graph, that is, the graph of (instantaneous) velocity as a function of time. In this graph, time t is plotted on the horizontal axis and velocity v on the vertical axis. Note that by definition, velocity and acceleration are vector quantities. In straight-line motion, however, these vectors have only one nonzero component in the direction of motion. Thus, in this problem, we will call v the velocity and a the acceleration, even though they are really the components of the velocity and acceleration vectors in the direction of motion. Part D Which of the graphs shown is the correct v vs. t plot for the motion described in the previous parts? A v (m/s) v (m/s) 0.8 0.8 0.6 0.6 0.4 0.4 0.2 0.2 t (s) 10 20 30 40 50 t (s) 10 20 30 40 50 C D v (m/s) v (m/s) 0.8 0.8 0.6 0.6 0.4 0.4 0.2 0.2 (s) 10 20 30 40 50 (s) 10 20 30 40 50 • View Available Hint(s) Cranh Pearson Copyright © 2021 Pearson Education Inc. All rights reserved. | Terms of Use I Privacy Policy Permissions I Contact Us 804
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