The displacement \(x\) (in m) of a particle of mass \(m\) (in kg) moving in one dimension under the action of a force, is related to time \(t\) (in s) by, \(t = \sqrt x +3 \). The displacement of the particle when its velocity is zero will be:
1. \(4\) m
2. zero
3. \(6\) m
4. \(2\) m
Subtopic:  Instantaneous Speed & Instantaneous Velocity |
 90%
From NCERT
NEET - 2013
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A particle moves along a straight line OX. At a time \(t\) (in seconds), the displacement \(x\) (in metres) of the particle from O is given by \(x= 40 +12t-t^3\). How long would the particle travel before coming to rest?

1. \(24\) m 2. \(40\) m
3. \(56\) m 4. \(16\) m
Subtopic:  Instantaneous Speed & Instantaneous Velocity |
From NCERT
AIPMT - 2006
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