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Question

The position x of a particle varies with time as x=at2bt3. The acceleration of particle is zero at time T equal to
  1. ab
  2. 2a3b
  3. a3b
  4. Zero

A
a3b
B
Zero
C
ab
D
2a3b
Solution
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x=at2bt3
Velocity =dxdt=2at3bt2
Acceleration=d2xdt2=ddt(2at3b2)=2a6bt
or a=2a6bt
Making a=0
2a=6bt
t=dfrac2a6b=a3b.

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