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Question

The velocity-time graph of a train traveling between two stations is plotted below:

Find the train's acceleration (in m s−2) in each of the time intervals OX, XY, and YZ respectively.

A
2, 1, 4
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B
2, 1,4
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C
2, 0, 4
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D
2, 0,4
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Solution

The correct option is D 2, 0,4
Since the velocity-time graph is a straight line in the given intervals, we can conclude that the acceleration is constant in each of these intervals.

Also, the slope of velocity-time graph is equal to the acceleration of the body.

Acceleration in time interval OX:
aOX=1206=+2 m s2

Acceleration in time interval XY:
aXY=121212=0 m s2

Acceleration in YZ:
aYZ=0123=4 m s2

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