A rocket in deep space (that is, far from the effects of the gravitational field) is moving at a speed of 1850m/s. The mass of rocket plus its fuel is around 25,000kg. The rocket then fires its engine to accelerate. The exhaust of rocket consists of a velocity of 1200m/s relative to the rocket itself.
i) In order to encompass an initial acceleration of 1.7m/s^2, what rate should propellant mass be ejected from the rocket?
ii) When the rocket continues firing its engines for 8.25 minutes, determine how much propellant is consumed?
iii) Determine the acceleration of the rocket at the end of the 8.25 minute engine burn?