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
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter2: One Dimensional Motion
Section: Chapter Questions
Problem 10PQ: As shown in Figure 2.9, Whipple chose a coordinate system that was different from Cralls. There are...
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