Object A has ten times the inertia of object B. They approach each other with relative velocity \(\vec{v}_{A B}\) and collide elastically. For each object, draw a velocity-versustime 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.