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The position of a particle is given by ...

The position of a particle is given by
`r=3.0that(i)-2.0t^(2)hat(j)+4.0hat(k)`m
where, t is in seconds and the coefficients have the proper units for r to be in meters.
a) Find the vand a of the particle?
b) What is the magnitude and direction of velocity of the particle at t=2.0s?

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The correct Answer is:
(a) `v(t)=(3.0 hat(i)-4.0 hat(j)) hat(a) (t)=-4.0 hat(j)` (b) `8.54 ms^(-1). 70^(@)` with x-axis
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