(a) Equation 12.40 defines proper velocity in terms of ordinary velocity. Invert that equation to get the...

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(a) Equation 12.40 defines proper velocity in terms of ordinary velocity. Invert that equation to get the formula for u in terms of η.

(b) What is the relation between proper velocity and rapidity (Eq. 12.34)? Assume the velocity is along the x direction, and find η as a function of θ

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