Define proper acceleration in the obvious way: (a) Find 0 and of in terms of u and a (the ordinary acceleration). (b) Express

Define proper acceleration in the obvious way:

(a) Find α0 and of in terms of u and a (the ordinary acceleration).

(b) Express αμ αμ in terms of u and a.

(c) Show that ημ αμ = 0.

(d) Write the Minkowski version of Newton's second law, Eq. 12.70, in terms ofa αμ. Evaluate the invariant product K Kμ ημ.

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