(a) In the first scenario in Section 13.5, calculate the ratio of B’s elapsed time to A’s, in terms of v0 and g. Assume that v0 << c, and drop high-order terms.
(b) Do the same for the second scenario in Section 13.5. Do this from scratch using the time dilations, and then check that your answer agrees (within the accuracy of the calculations) with part (a), as the equivalence principle demands.