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A particle is moving in a plane with vel...

A particle is moving in a plane with velocity `vec(v) = u_(0)hat(i) + k omega cos omega t hat(j)`. If the particle is at origin at `t = 0`, (a) determine the trajectory of the particle. (b) Find its distance from the origin at `t = 3pi//2 omega`.

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The correct Answer is:
`[y = b sin(omega(x)/(v_(0))).sqrt((9)/(4)v_(0)^(2) omega ^(2)+b^(2)sin^(2)((3)/(2)omega^(2)))]`
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