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`.

A particle is moving in a plane with a velocity given by, vecu=u_(0)hati+(omegacosomegat) hatj, are unit vectors along x and y-axes respectively. If the particle is at the origin an t=0, then its distance from the origin at time t=3pi//2omega will be

A particle moves in x-y plane according to the equation bar(r ) = (hat(i) + 2 hat(j)) A cos omega t the motion of the particle is

A particle is moving in a plane with velocity given by vec(u)=u_(0)hat(i)+(aomega cos omegat)hat(j) , where hat(i) and hat(j) are unit vectors along x and y axes respectively. If particle is at the origin at t=0 . Calculate the trajectory of the particle :-

A particle is moving in a plane with velocity given by vec(u)=u_(0)hat(i)+(aomega cos omegat)hat(j) , where hat(i) and hat(j) are unit vectors along x and y axes respectively. If particle is at the origin at t=0 . Calculate the trajectory of the particle :-

A particle is moving in a plane with velocity given by vec(u)=u_(0)hat(i)+(aomega cos omegat)hat(j) , where hat(i) and hat(j) are unit vectors along x and y axes respectively. If particle is at the origin at t=0 . Calculate the trajectory of the particle :-

A particle is moving with a position vector, vec(r)=[a_(0) sin (2pi t) hat(i)+a_(0) cos (2pi t) hat(j)] . Then -