My first Physics I major assignment in college as a freshman
Faculty of Computer Science and Engineering, Ho Chi Minh University of Technology
Spacecraft ejects its burned fuel, which causes itself to move upward as well as losing its weight.
Given the v' as speed of fuel ejection, dm/dt as burning rate, m0 as inital mass and y0 as inital coordinate.
Solve the equation mdv/dt = - v'dm/dt - mg, we will have acceleration, velocity and coordinate.
Plot the function y(t) on matlab using symbolic package.
Because m decreases over time, dm/dt is less than 0, we call it k for simplification (k < 0).
We have acceleration equation as a = dv/dt, we can compute both velocity and coordinate equation by integration.
We choose the positive direction upward, which means g and v' are negative.