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Question

The figure shows the velocity (v) of a particle plotted against time (t).

134334.jpg

A
The particle changes its direction of motion at some point.
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B
The acceleration of the particle remains constant.
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C
The displacement of the particle is zero
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D
The initial and final speeds of the particle are the same
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Solution

The correct options are
A The particle changes its direction of motion at some point.
B The acceleration of the particle remains constant.
C The displacement of the particle is zero
D The initial and final speeds of the particle are the same
the particle changes its direction of motion at t=T since the velocity becomes positive from negative.
The acceleration of the particle remains constant since the slope is constant throughout the curve.
The displacement of the particle is zero because the area under the curve of negative velocity is equal to area under the curve of positive velocity.
The initial and final speeds of the particle are the same since speed is the magnitude of velocity.

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