Task id13286

To hit a target, a missile is launched from an aircraft. The plane flies horizontally at an altitude H = 8 km with a speed v0 = 300 m/s. The mass of the rocket changes according to the law m(t) = m0exp(-t/t) and decreases by e times during the flight to the target. The gas outflow velocity relative to the rocket is u = 1000 m/s, the rocket body is horizontal during its flight. What is the distance L from the target to the point over which the plane was at the moment the rocket was launched? Ignore air resistance.