DO NOT COPY OTHER ANSWERS. They are incorrect. Please provide a physical interpretation for part c.

5. Alice, an inertial observer, see Bob undergoing hyperbolic motion given by the parametric equations :30 (T) = %sinh 9% , 33(7) 2 %cosh % in her frame. a) Using an appropriate Lorentz transform with Bob's coordinates taken as primed coordinates, show by taking the differentials of the parametric equations, that AT 2 At', that is, that T is Bob's proper time, and that his rapidity is % . b) Transform the differentials A5130 and A93 you calculated in part a) to primed coordinates to reinforce the correctness of part a) calculation. c) Taylor expand to second order in AT the results for Am0 and Aw to provide the physical interpretation of the parameter g