A particle of mass m moving at speed v_{0} collides with a particle of mass M which is originally at rest. The fractional momentum transfer f is the absolute value of the final momentum of M divided by the initial momentum of m. If the collision is perfectly elastic, what is the maximum possible fractional momentum transfer, f_{\max } ?
Answer Choices
A. 0<f_{\max }<\frac{1}{2}
B. f_{\max }=\frac{1}{2}
C. \frac{1}{2}<f_{\max }<\frac{3}{2}
D. f_{\max }=2
E. f_{\max } \geq 3