A jet-propelled airplane with a mass of 10 Mg is flying horizontally at a constant speed...

A jet-propelled airplane with a mass of 10 Mg is flying horizontally at a constant speed of 1000 km/h under the action of the engine thrust T and the equal and opposite air resistance R. The pilot ignites two rocket-assist units, each of which develops a forward thrust T₀ of 8 kN for 9 s. If the velocity of the airplane in its horizontal flight is 1050 km/h at the end of the 9 s, calculate the time average increase ΔR in air resistance. The mass of the rocket fuel used is negligible compared with that of the airplane.