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

Moderate

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.

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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