$A$ rocket motor consumes $100 \ kg$ of fuel per second,exhausting it with a speed of $5 \ km/s$. The speed of the rocket when its mass is reduced to $\frac{1}{20}$ of its initial mass is (Assume initial speed to be zero and ignore gravitational and viscous forces.)
- A$20 \ km/s$
- B$40 \ln(2) \ km/s$
- C$5 \ln(20) \ km/s$
- D$10 \ln(10) \ km/s$
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