A relativistic particle of mass m at æ(t) in a potential V has kinetic energy ymc?, where y = (1 – a² /c²)-1/2. a) Write down the total energy when V = max where a is constant. Е — b) What is Newton's second law for the rate of change of momentum p, = ymå with this potential? c) Solve for å (t) when æ(0) = i(0) = 0. a(t) =

A relativistic particle of mass m at æ(t) in a potential V has kinetic energy ymc?, where y = (1 – a² /c²)-1/2. a) Write down the total energy when V = max where a is constant. Е — b) What is Newton's second law for the rate of change of momentum p, = ymå with this potential? c) Solve for å (t) when æ(0) = i(0) = 0. a(t) =