The position 
of a particle with respect to time 
along 
-axis is given by 
,
where 
is in metre and 
in second. What will be the position of this particle when it achieves maximum speed along the positive 
-direction?
Text Solution
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The position 
of a particle w.r.t. to time 
along 
-axis
… (i)
Differentiating Eq. (i) w.r.t. time, we get speed, i.e.
Again differentiating Eq. (ii) w.r.t. time, we get acceleration, i.e.
… (iii)
Now, when speed of particle is maximum, its acceleration is zero.
Putting in Eq. (i), we obtain position of particle at that time
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