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.
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
AP CALCULUS TEST PREP-WORKBOOK
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