The position of a particle at any instant t is given by x=a t. The speed–time graph of the particle is

JEE Main Physics question

The position of a particle at any instant is given by . The speed–time graph of the particle is

(A)A smooth, continuous sine wave (both positive and negative)
(B)A smooth, continuous cosine wave (both positive and negative)
(C)A periodic sequence of humps, all lying on or above the time axis (a rectified sine, shape)Correct
(D)Another continuous sine-like wave taking negative values

Answer: (C)

. Speed — a rectified sine wave: always

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Question ID VK-152086