Two objects, A and B, of equal inertia approach each other with relative velocity \(\vec{v}_{\mathrm{AB}}\) and collide elastically. For each object, draw a velocity-versus-time graph for the interval starting a few seconds before the collision and ending a few seconds after the collision 

\((a)\) from the reference frame in which \(\mathrm{A}\) is initially at rest,

(b) from the reference frame in which B is initially at rest, and

(c) from the zero-momentum reference frame.