Chapter 37, Problem 28P

In Fig. 37-11, frame S' moves relative to frame S with velocity 0.62c $\hat{i}$ while a particle moves parallel to the common x and x' axes. An observer attached to frame S' measures the particle’s velocity to be 0.47c $\hat{i}$. In terms of c, what is the particle’s velocity as measured by an observer attached to frame S according to the (a) relativistic and (b) classical velocity transformation? Suppose, instead, that the S' measure of the particle’s velocity is −0.47c $\hat{i}$. What velocity does the observer in S now measure according to the (c) relativistic and (d) classical velocity transformation?