Meriam, Kraige & Bolton — Kinetics of Particles: Problem 3_65

3/65 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/s\(^2\) at the altitude of the rocket, calculate the radius of curvature \(\rho\) of its path for the position described and the time-rate-of-change of the magnitude \(v\) of the velocity of the rocket. The mass of the rocket at the instant considered is 2000 kg.