(a) Since the four-velocity u = Yu (c, u) is a four-vector, you should immediately know what its transfor- mation properties are. Write down the standard Lorentz boost for all four components of u. Use these to derive the relativistic velocity transformation formulas. (b) In non-relativistic mechanics, the energy E contains an arbitrary additive constant. That is, no 1

(a) Since the four-velocity u = Yu (c, u) is a four-vector, you should immediately know what its transfor- mation properties are. Write down the standard Lorentz boost for all four components of u. Use these to derive the relativistic velocity transformation formulas. (b) In non-relativistic mechanics, the energy E contains an arbitrary additive constant. That is, no 1