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(a) An accelerated laboratory has a bottom at x 0 and a top at xh, both with extent in the y- and z-direction. Use the line element derived in part (ai of Problem 6 to show that the height of the laboratory remains constant in time. i.e., the laboratory moves rigidly. (b) Compute the invariant acceleration a (a-a) 1/2, where αα-d2χα/dt-, and show that it is different for the top and bottom of the laboratory.

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