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A rocket takes off vertically from rest from the surface of Mars, where the acceleration due to gravity on Mars (gm) =3.71 m/s2.

a) Assume that gm stays constant while the fuel is being used to propel the rocket. Write out a general expression for the velocity of the rocket in terms of ve, mo, m, t, and gm

b) If the speed that the fuel leaves the rocket is ve = 1000 m/s, and the rocket loses 60% of its mass while burning fuel for 20.0 sec, what is the final speed of the rocket?

 

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