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Question

The velocity−time plot for a particle moving on a straight line is shown in the figure:


Calculate the average speed of the particle in the time interval 10−20 s.


A
20 m/s
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B
20 m/s
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C
10 m/s
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D
10 m/s
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Solution

The correct option is C 10 m/s
Given:
To calculate the average speed between 1020 s, we need to first make sure the acceleration of the body is constant.
Since it is a continuous straight-line from 020 s, the acceleration of the body is indeed constant and is equal to 201020=1.5 m/s2

At t=10 s, the magnitude of the velocity = speed = 0 m/s

At t=20 s, the magnitude of the velocity = speed = 20 m/s

The average speed is 0+202=10 m/s
[This method of obtaining the average speed works only when the acceleration of the body is constant in the given time interval.]

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