A top quark decays to a bottom quark and a W boson. The resulting W boson then decays to a positron and a neutrino. Give your answers below in terms of the masses M_t, M_b, and M_W of the top quark, the bottom quark, and the W boson, respectively. You may treat the positron and the neutrino as massless. You are encouraged to set the speed of light as c=1. (a) What is the momentum of the bottom quark, in the rest frame of the top quark? (b) What is the maximum possible momentum of the positron, in the rest frame of the top quark? (c) Suppose the top quark has speed 0.5c in the lab frame, before it decays. What is the maximum possible momentum of the positron in the lab frame?