Meriam, Kraige & Bolton — Kinetics of Systems of Particles: Problem 4_83

4/83 The rocket shown is designed to test the operation of a new guidance system. When it has reached a certain altitude beyond the effective influence of the earth’s atmosphere, its mass has decreased to 2.80 Mg, and its trajectory is 30° from the vertical. Rocket fuel is being consumed at the rate of 120 kg/s with an exhaust velocity of 640 m/s relative to the nozzle. Gravitational acceleration is \(9.34 \text{ m/s}^2\) at its altitude. Calculate the \(n\)- and \(t\)-components of the acceleration of the rocket.