The velocity v of a rocket at burnout (depletion of fuel supply) is given by where c is the exhaust velocity of the rocket engine, Wt is the takeoff weight (fuel, structure, and payload), and Wb is the burnout weight (structure and payload).

A rocket has a weight ratio Wt/Wb = 17.7 and an exhaust velocity c = 3.42 kilometers per second. What is its velocity at burnout? Compute the answer to two decimal places.

A) 9.10 km/s B) 9.48 km/s C) 9.83 km/s D) 10.24 km/s


C) 9.83 km/s

Mathematics

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