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Q.

The equation x=t+3 gives the variation of displacement x with time t for a particle moving along the X-axis. Which of the following is correct for the motion of the particle?

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a

velocity the particle is directly proportional to time

b

velocity of the particle is inversely proportional to time

c

the particle has time varying acceleration

d

the acceleration of the particle is constant

answer is D.

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Detailed Solution

Squaring the equation gives x = t 2+ 6t + 9. On differentiation, v = 2t + 6 and a = 2. First option is a good trap, v = 2t + 2 cannot be interpreted as v ∝ t. Only the acceleration is constant
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