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(a) A particle starts moving at t = 0 in...

(a) A particle starts moving at `t = 0` in `x-y` plane such that its coordinates (in cm) with time (in sec) change as `x = 3`t and `y = 4 sin (3t)`. Draw the path of the particle.
(b) If position vector of a particle is given by `vec(r) = (4t^(2) - 16t) hati +(3t^(2) - 12t) hatj`, then find distance travelled in first 4 sec.

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