To find: It needs to be determined whether the statement that the displacement for the particle shown in the figure in the textbook is negative is true or false.
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Answer to Problem 37E
The statement that the displacement of the particle is negative is false.
Explanation of Solution
Given information: A figure is shown in the textbook which shows the velocity for a particle moving along the x -axis.
According to the graph the figure shown is a graph for velocity vs time, the net area below the curve can be interpreted as the displacement which is the area between the x -axis. The area is interpreted as positive/negative depending on whether the function is above/below the axis.
As the area below the x -axis is smaller than the area above the x -axis so the net area is positive, thus the displacement is positive.
Hence the statement that the displacement of the particle is negative is false.
Chapter 7 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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