If a particle moves along a straight line with the law of motion given by. Then, the acceleration varies, are
Step 1: Given Information
The equation for the motion of particle=
Step 2: Calculation of the acceleration varies
Find of the acceleration varies.
Acceleration in terms of displacement is
Differentiate both sides with respect to
Step 3: Differentiating,
Differentiate ,
Therefore,
Hence, the correct option is (A).