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. `y= a sin (u_(0)/(omega x))`
B. `y= asin ((omega x)/u_(0))`
C. `y=1/a. sin (u_(0)/(omega x))`
D. `y=1/a. sin((omega x)/u_(0))`