The rocket moves in a vertical plane and is being propelled by a thrust T of 32 kN. It i...

The rocket moves in a vertical plane and is being propelled by a thrust T of 32 kN. It is also subjected to an atmospheric resistance R of 9.6 kN. If the rocket has a velocity of 3 km/s and if the gravitational acceleration is 6 m/s² at the altitude of the rocket, calculate the radius of curvature of its path for the position described and the time-rate-ofchange of the magnitude v of the velocity of the rocket. The mass of the rocket at the instant considered is 2000 kg.