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Question

If the displacement of a particle varies with time as x=t+7, which of the following statements is(are) true?

A
Velocity of the particle is inversely proportional to t.
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B
Velocity of the particle is proportional to t.
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C
Velocity of the particle is proportional to t.
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D
The particle moves with a constant acceleration.
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Solution

The correct options are
A Velocity of the particle is proportional to t.
D The particle moves with a constant acceleration.
x=t+7x=(t+7)2v=dxdt=2(t+7)
Thus, Velocity is proportional to time.
Also as a=dvdt=2
Thus particle moves with a constant acceleration.

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