# Rocket Problem -- Solve using the Rocket Equation

Homework Statement:
Halliday Principles of Physics 10th edition
The mass of the rocket is 50 kg, the mass of the fuel is 450 kg
the rocket's maximum v rel=2 km/s
if R=10kg/s, what velocity does the rocket moves when it consumes all its fuel?
solve when the acceleration of the rocket is 20 m/s^2
Relevant Equations:
Ma=-Rv (R is the ratio which a rocket's loss of its mass and v is the relative speed of the fuel to the rocket)
I tried the second rocket equation

vf = vi + v rel * ln(Mi/Mf)

but it gives out approximately 4900 m/s for the answer
but the answer is 4160 m/s

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jbriggs444