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The motion of a particle along a straigh...

The motion of a particle along a straight line is described by the equation: `x=8+12t-t^(3)`, where `x` is inmeter and `t` in second.
(i) the initial velocity of particle is 12 m//s
(ii) the retardation of particle when velocity is zero is `12 m//s^(2)`
(iii) when acceleration is zero, displacement is 8 m
the maximum velocity of particle is `12 m//s`

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