The angle between r (t = o) and r (t), is diresctly related to the direction pf the verlocity vector which is when t = 0, r(t = 0) = R(i^)θ = ωt
So, the speed of the mass at time (t0 is v(t) = ωR (v(t) in terms of ω and R)
the answer is v(t) = − Rωsin(ωt) + Rωcos(ωt)j^