32. A rocket moving in space, far from all other objects, has a speed of vi relative to the Earth. Its engines are turned on, and fuel isejected in a direction opposite to the rocket’s motion at a speed of vrel relative to the rocket. What is the speed of the rocket, vfrelative to the earth once the rocket’s mass is reduced to half its mass before ignition?
(A) vi+ vrel ln2
(B) vi+ vrel ln(1/2)
(C) vi+ 2vrel
(D) (vi+ vrel) / 2
(E) vi+ vrel / 2