# Variation of displacement x of a particle moving on a straight line with time t is shown in following figure.

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Variation of displacement x of a particle moving on a straight line with time t is shown in following figure. The figure indicates :

(A) the particle starts with a certain speed but the motion is retarded

(B) the velocity of particle is constant throughout motion

(C) the acceleration of the particle is constant throughout motion

(D) the particle starts with certain speed and moves with increasing speed .

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Correct option (A) the particle starts with a certain speed but the motion is retarded

Explanation:

From the graph ; we observe that slope is non–zero positive at t = 0 & slope is continuously decreasing with time and finally becomes zero. Hence we can say that the particle starts with a certain velocity, but the motion is retarded (decreasing velocity)