37.44•• A Σ+Σ+ particle has a mean lifetime of 80.2 ps. Aphysicist measures that mean lifetime to be 403 ps as the particlemoves in his lab. The rest mass of the particle is 2.12×10−27kg.2.12×10−27 kg. (a) How fast is the particle moving? (b) How fardoes it travel, as measured in the lab frame, over one meanlifetime? (c) What are its rest, kinetic, and total energies in thelab frame of reference? (d) What are its rest, kinetic, and totalenergies in the particle’s frame?