A ball of mass m is launched into the air. Ignore air resistance, but assume that there is a wind that exerts a constant force F_{0} in the -x direction. In terms of F_{0} and the acceleration due to gravity g, at what angle above the positive x-axis must the ball be launched in order to come back to the point from which it was launched?
Answer Choices
A. \tan ^{-1}\left(F_{0} / m g\right)
B. \tan ^{-1}\left(m g / F_{0}\right)
C. \sin ^{-1}\left(F_{0} / m g\right)
D. the angle depends on the launch speed
E. no such angle is possible