**Problem Description:**The rocket is propelled by a thrust \( T \) of 32 kN and travels in a vertical plane. It is subjected to an atmospheric resistance \( R \) of 9.6 kN. The mass of the rocket at the instant is 2000 kg. If the rocket has a velocity of 3 km/sec and the gravitational acceleration is 6 m/sec² at the altitude of the rocket, calculate the radius of curvature of its path for the position described. Present your answer in km using **4 significant figures**.**Diagram Explanation:**The image contains a diagram illustrating the path of the rocket. In the diagram:- The rocket's path is depicted as a line angled at \(30^\circ\) from the vertical.- The thrust \( T \) and atmospheric resistance \( R \) are directed along the rocket’s path.- A vertical line indicates the gravitational force acting on the rocket.The problem requires calculating the radius of curvature of the path given the forces involved.

Answered: The rocket propelled by a thrust T of…

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