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In Fig. 36-22a, particle \( P \) is to move parallel to the \( x \) and \( x^{\prime} \) axes of reference frames \( S \) and \( S^{\prime} \), at a certain velocity relative to frame \( S \). Frame \( S^{\prime} \) is to move parallel to the \( x \) axis of frame \( S \) at velocity \( v \). Figure 36-22b gives the velocity \( u^{\prime} \) of the particle relative to frame \( S^{\prime} \) for a range of values for \( v \). The vertical axis scale is set by \( u_{a}^{\prime}=0.800 c \). What value will \( u^{\prime} \) have if (a) \( v=0.95 c \) and (b) \( v \rightarrow c \) ?
(a)
(b)
Figure 36-22 Problem 53.
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