Cart X of mass 0.20kg glides along a nearly frictionless, horizontal track at 3.0m/s toward cart Y of mass 0.30kg that is at rest. The two carts collide elastically. A third cart Z of mass 0.40kg is stationary several meters away and does not interact during the time interval considered. Which of the following gives the speed and direction of cart X immediately after its collision with cart Y?
a) 0.60m/s, same direction as original motion
b) 0.60m/s, opposite its original direction
c) 1.2m/s, same direction as original motion
d) 2.4m/s, same direction as original motion