Project 62 A small rocket with an initial mass of 350 kg, including a mass of 100 kg of fuel, is fired from a rocket launcher (see Figure P6.2). The rocket leaves the launcher at Figure P6.2 Rocket trajectory. 124 Numerical and Analytical Methods with MATLAB velocity v, and at an angle of 8, with the horizontal. Neglect the fuel consumed inside the rocket launcher. The rocket burns fuel at the rate of 10 kg/s, and develops a thrust T-6000 N. The thrust acts axially along the rocket and lasts for 10 sec onds. Assume that the drag force also acts axially and is proportional to the square of the rocket velocity. The governing differential equations describing the position and veloc ity components of the rocket are as follows: (P6.2a) 12 IN Kv (P6.2b) RI 1n dc (P6.2c) (P6.2d) where