Example Problem - Conservation of Momentum (5)

A rocket is launched vertically by combusting a solid propellant (which includes oxygen). The exhausting gases create thrust, pushing the rocket directly upwards. If the rocket (including all rocket parts and propellant) has an initial mass (M_0), the exhaust gases leave at a velocity of v_e, the mass flow rate of the exhausting gases is m_dot , gravitational acceleration is constant (G), and you neglect drag, determine an expression for the velocity of the rocket (relative to the ground) as a function of time v(t).

[@kalashvimawala8852]

at 5:00 you simplify the equation incorrectly? because g changes side, hence it should be subtracted rather than being added.

[@kalashvimawala8852]

You do fix it at 7:23 when rewriting the equation after substituition