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The position x of a particle varies with...

The position `x` of a particle varies with time `t` as `x=at^(2)-bt^(3)`. The acceleration at time `t` of the particle will be equal to zero, where (t) is equal to .`

Text Solution

Verified by Experts

The correct Answer is:
5


As observed from A, B moves perpendicular to line of motion of A.
It means velocity of b along A is equal to velocity of a
`V_(B) cos 30=100sqrt(3)`
`V_(B)=200`
If a is observer a remains stationary therefore
`t=500/(V_(B) sin 30)=500/100=5`
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