A Rocket Coasts in an Elliptical Orbit About Earth

Multiple Choice

A rocket coasts in an elliptical orbit about Earth. To attain escape velocity using the least amount of fuel in a brief firing time, should it fire off at the apogee, or at the perigee? (Hint: Let Fd = ∆ KE guide your thinking.)

A) perigee, where it is closest and fastest
B) apogee, where it is farthest and slowest
C) same at either location
D) same at any location