For the same engine in Problems $9\mathrm{.}18-9\mathrm{.}20,$ the pressure at the exit of the nozzle is p$6=2,116$ lb$/$ft$^2.$ The pressure at the inlet to the compressor is also p$3.$ The flow velocity entering the nozzle is V$5=1,500$ ft$/$s$.$ Calculate the flow velocity at the nozzle exit.