Chapter 37, Problem 32P

GO In Fig. 37-26a, particle P is to move parallel to the x and x' axes of reference frames S and S', at a certain velocity relative to frame S. Frame S' is to move parallel to the x axis of frame S at velocity v. Figure 37-26b gives the velocity u' of the particle relative to frame S' for a range of values for v. The vertical axis scale is set by u'_a = 0.800c. What value will u' have if (a) v = 0.90c and (b) v → c?

Figure 37-26 Problem 32.