A small rocket-propelled vehicle weighs 125 lb, including 20 lb of fuel. Fuel is burned...

A small rocket-propelled vehicle weighs 125 lb, including 20 lb of fuel. Fuel is burned at the constant rate of 2 lb/sec with an exhaust velocity relative to the nozzle of 400 ft/sec. Upon ignition the vehicle is released from rest on the 10° incline. Calculate the maximum velocity v reached by the vehicle. Neglect all friction.