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The position of a particle is given by ...

The position of a particle is given by
`r=3.0hati-2.0t^(2)hatj+4.0hatkm`
where t is in seconds and the coefficients have proper units for r to be in metres .
(a) Find the v and a of the particle ? (b) What is the magnitude and direction of velocity of the particle at `t=2.0s` ?

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Verified by Experts

The correct Answer is:
(a) `v(t)=(3.0hati-4.0thatj)hata(t)=-4.0hatj`
(b) `8.54 " ms "^(-1),70^(@)` with x - axis.
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