A rocket has an empty weight W₁ and carries fuel of weight W₂. If the fuel is burned at the rate c and ejected with a relative velocity v_DR, determine the maximum speed attained by the rocket starting from rest. Neglect the effect of gravitation on the rocket.

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Given: W1 = 500 lb W2 = 300 lb c = 15 lb S VDR = 4400 S 8 = 32.2 ft 2 S