What is the velocity of the mass at a time t? you can work this out geometrically with the help of the hints, or by differentiating the expression for r' (t) given in the introduction. (figure 2)
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)