5. Alice, an inertial observer, see Bob undergoing hyperbolic motion given by the parametric equations 2 , 2 . m0 (T) = C351mb % , 59(7) = Cgoosh 9: 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 = At', that is, that T is Bob's proper time, and that his rapidity is E C . b) Transform the differentials A330 and A2: 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 A330 and A3: to provide the physical interpretation of the parameterg