This problem deals with a mass m on a spring (with con- stant k) that receives an impulse po = mvo at time t = 0. Show that the initial value problems mx" + kx = 0; x (0) = 0, x'(0) = vo and mx" + kx = po8(t): x(0) = 0, x'(0) = 0 have the same solution. Thus the effect of po8(t) is, in- deed, to impart to the particle an initial momentum po-

This problem deals with a mass m on a spring (with con- stant k) that receives an impulse po = mvo at time t = 0. Show that the initial value problems mx" + kx = 0; x (0) = 0, x'(0) = vo and mx" + kx = po8(t): x(0) = 0, x'(0) = 0 have the same solution. Thus the effect of po8(t) is, in- deed, to impart to the particle an initial momentum po-