JEE Main 2014 Physics question

A particle moves with simple harmonic motion in a straight line. In first s, after starting from rest it travels a distance a and in next s it travels 2a, in same direction, then -

(A)time period of oscillations is
(B)amplitude of motion is 4a
(C)time period of oscillations is Correct
(D)amplitude of motion is 3a

Answer: (C)

Solution

Starting from rest at an extreme: . and \cos$ 2ωτ =

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Question ID VK-008751