Two objects with masses m1 and m2 and initial velocities v1 and v2,i move along a straight...

Two objects with masses m1 and m2 and initial velocities v1 and v2,i move along a straight line and collide elastically. Assuming that the objects move along the same straight line after the collision, show that their relative velocities are unchanged; that is, show that v1 − v2/ i = v2,f − v1,f (You can use the results given in Problem.)

Problem

Consider a one-dimensional, head-on elastic collision. One object has a mass m1 arid an initial velocity v1 the other has a mass m2 and an initial velocity v2. Use momentum conservation and energy conservation to show that the final velocities of the two masses are