Consider the following position functions r and R for two objects.

a. Find the interval [c, d] over which the R trajectory is the same as the r trajectory over [a, b].
b. Find the velocity of both objects.
c. Graph the speed of the two objects over the intervals [a, b] and [c, d], respectively.

r(t)= , [a, b] = [0, 2π]
R(t)= 3t on [c, d]