The displacement \(x\) (in \(\text m\)) of a particle of mass \(m\) (in \(\text{kg}\)) moving in one dimension under the action of a force, is related to time \(t\) (in \(\text s\)) by;  \(t = (\sqrt x +3 ).\) The displacement of the particle when its velocity is zero will be:
1. \(4~\text m\) 2. zero
3. \(6~\text m\) 4. \(2~\text m\)
Subtopic:  Instantaneous Speed & Instantaneous Velocity |
 89%
Level 1: 80%+
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. \(24~\text m\) 2. \(40~\text m\)
3. \(56~\text m\) 4. \(16~\text m\)
Subtopic:  Instantaneous Speed & Instantaneous Velocity |
Level 3: 35%-60%
AIPMT - 2006
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