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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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both the particles are having uniformly accelerated motion.

both the particles are having a uniformly retarded motion.

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

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

According to 2nd law of motion

for an uniform acceleration ,

x - x₀ = ut + $\frac{1}{2}$ at²

$∴$ Displacement - time graph for a uniform acceleration will be a parabola.

If a is positive (acceleration), the motion will have an increasing slope and if a is negative(retardation), the motion will have a decreasing slope.

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