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(i) A particle is moving in three dimens...

(i) A particle is moving in three dimensions.Its position vector is given by
`vecr=6hati+(3+4t)hatj-(3+2t-t^(2))hatk`
Distance are in meters, and the time t, in seconds.
( a) What is the velocity vector at `t = + 3 ?`
(b) What is the speed `("in" m//"sec") at. t = + 3` ?
(c) What is the acceleration vector and what is its magnitude `("in m"//"sec"^(2)) at.t = +3`?
(ii) Now the particle is moving only along the z-axis, and its position is given by `(t^(2)- 2t -3)hatk` k at what time does the particle stand still? _

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