Question : The rocket car has a mass MC (empty) and carries fuel of mas...

The rocket car has a mass { M }_{ C } (empty) and carries fuel of mass { M }_{ F } . If the fuel is consumed at a constant rate c and ejected from the car with a relative velocity { v }_{ DR } , determine the maximum speed attained by the car starting from rest. The drag resistance due to the atmosphere is { F }_{ D } = { kv }^{ 2 } and the speed is measured in m/s. Units Used: Mg = { 10 }^{ 3 } kg Given: { M }_{ C } = 3 Mg , { M }_{ F } = 150 kg , { v }_{ DR } = 250 m/s , c = 4 kg/s , k = 60 N⋅ { s }^{ 2 } / { m }^{ 2 }