The pilot of a crippled jet was able to control his plane by throttling the two engines....

The pilot of a crippled jet was able to control his plane by throttling the two engines. If the plane has a weigh of 17000 lb and a radius of gyration of k_G = 4.7 ft about the mass center G, determine the angular velocity of the plane and the velocity of its mass center G in t = 5 s if the thrust in each engine is altered to T₁ = 5000 lb and T₂ = 800 lb as shown. Originally the plane is flying straight at 1200 ft/s neglect the effects of drag and the loss of fuel.