A rocket sled accelerates from rest on a level track with negligible air and rolling resistances. The initial mass of the sled is \(M_{0}=600 \mathrm{~kg}\). The rocket initially contains \(150 \mathrm{~kg}\) of fuel. The rocket motor burns fuel at constant rate \(\dot{m}=15 \mathrm{~kg} / \mathrm{s}\). Exhaust gases leave the rocket nozzle uniformly and axially at \(V_{e}=2900 \mathrm{~m} / \mathrm{s}\) relative to the nozzle, and the pressure is atmospheric. Find the maximum speed reached by the rocket sled. Calculate the maximum acceleration of the sled during the run.