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The displacement 'x' (in meter) of a particle of mass 'm' (in kg) moving in one dimension under the action of a force, is related to time 't' (in sec) by t = √x + 3. The displacement of the particle when its velocity is zero, will be:

1. 2m
2. 0m
3. 4m
4. 6m

Correct answer: 4m

Solution

To find the displacement when velocity is zero, we first differentiate the given equation t = √x + 3 with respect to time to get velocity: v = dx/dt = 1/(2√x). For velocity to be zero, 1/(2√x) must be undefined, which happens when x = 4m. Thus, the displacement is 4m.

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