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Question

The acceleration-time graph of motion of an object is given. What will be the corresponding most probable velocity-time graph of the object?

A
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B
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C
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D
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Solution

The correct option is A
For time, t = 0 to t = 10 s:
The object moves with uniform acceleration and hence the velocity-time graph will be a straight line with positive slope.
For time, t = 10 to t = 20 s:
The object’s acceleration is zero. For this interval of time, the object moves with uniform velocity. Thus, velocity-time graph is a line parallel to the time axis.
For time, t = 20 to t = 30 s:
The object moves with uniform retardation and hence velocity-time graph will be a straight line with negative slope.

Hence the correct answer is option (a).

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