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Q.

Figures (i) and (ii) below show the displacement – time graphs of two particles moving along the x – axis. We can say that

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a

both the particles are having uniformly accelerated motion.

b

both the particles are having a uniformly retarded motion.

c

particle (i) is having a uniformly accelerated motion while particle (ii) is having a uniformly retarded motion.

d

particle (i) is having a uniformly retarded motion while particle (ii) is having a uniformly accelerated motion.

answer is C.

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Detailed Solution

v = dx/dt = slope of tangent drawn to the x-t graph. For graph (i), dx/dt is gradually increasing so the motion is accelerated. For graph(ii), dx/dt is gradually decreasing, so the motion is retarded
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