1. The 4-velocity of a particle as measured in the frame S is $U^\mu = (5c/4, 3c/4, 0, 0)$.
(a) Is $U^\mu$ timelike, lightlike, or spacelike?
(b) Find the 3-velocity $\vec{u}$ of the particle.
(c) Find the speed of another frame S' with respect to S such that $\vec{u'} = 0$.
(d) Find the speed of S' such that $\vec{u'} = (2/3)\vec{u}$.