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To describe the motion of a particle along a straight line, it is often convenie

ID: 1886124 • Letter: T

Question

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 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 x vs. t graph like this does notrepresent the path of the particle in space.

Shown in the figure is the v vs. t curve selected in the previous part. What is the area A of the shaded region under the curve?(Figure 2)

Express your answer in meters.

What x vs. t Graphs Can Tell You 5 of 13 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 a vs t graph. To draw such a graph, choose an axis system in which time t is plotted on the horizontal axis and position on the vertical axis. Then, indicate the values of at various times t. Mathematically, this corresponds to plotting the variable 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 r vs. t graph like this does not represent the path of the particle in space. Correct Whenever a particle moves with constant nonzero velocity, its line. vs. t graph is a straight line with a nonzero slope, and its u vs. t curve is a horizontal Part E Figure 1 of2 Shown in the figure is the v vs. t curve selected in the previous part. What is the area A of the shaded region under the curve?(Figure 2) Express your answer in meters. x (m) View Available Hints) 40 30 20 10 Submit 10 20 30 4050

Explanation / Answer

PartE] Area of v-t curve = displacement

= 40m - 10 m

= 30m answer

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