During a lunar mission, it is necessary to increase the speed of a spacecraft by 3.18 m/s when it is moving at 460 m/s relative to the Moon. The speed of the exhaust products from the rocket engine is 1200 m/s relative to the spacecraft. What fraction of the initial mass of the spacecraft must be burned and ejected to accomplish the speed increase?

Your formula is correct, but number is not. You forgot to multiply t=24s in step 1, at the line .... = 999v. So follow your formula, the answer will be 77.34m. I rated (y).

Needs Complete typed solution with 100 % accuracy.

Given: A: A₂ = 43.4, Ay = 35.4 B: (B= 16.3 OB = 39.7° (a) Calculate the x-components and y-components of B. B₁ = 9. By= (b) Calculate the length and direction of Ã. Assume angles are measured from the +x-axis with counter-clockwise as positive angles and clockwise as negative angles. A = 9- 0A= (c) Calculate the components of the vector sum of A + B = Ć: CT= 9. 0c= 9. Cy= (d) Calculate the length and direction of C: Assume angles are measured from the +x-axis with counter-clockwise as positive angles and clockwise as negative angles. C= 9- 0 9.