A particle makes a to and from motion between two points A and B. On its onward path (from A to B), it moves with a constant velocity $v = 5$ m/s, while in its return path, it moves with a constant acceleration of $a = v t$ . The particle comes to rest at the extremes. Can this motion be termed as SHM

SHM from A to B

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SHM from B to A

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SHM is not performed in any direction by the particle

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SHM is performed in both the directions

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Solution

The correct option is C SHM is not performed in any direction by the particle
A to and from motion can only be a periodic motion. Until and unless the acceleration of the particle is proportional to displacement and the restoring force direction is not known,it cannot be a SHM
Thus, the particle will not be executing an SHM
The correct option is (c)

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A particle makes a to and from motion between two points A and B. On its onward path (from A to B), it moves with a constant velocity v=5 m/s, while in its return path, it moves with a constant acceleration of a=vt. The particle comes to rest at the extremes. Can this motion be termed as SHM