An observer in the Earth reference frame observes cart A and cart B moving toward each other with the same speed until they collide and come to rest. Consider this event as seen by observer A moving along with cart A. Assume that this observer matches cart A's initial velocity but does not collide with cart B (that is, observer A continues along at the same velocity that cart \(\mathrm{A}\) had initially). Would the observer in the Earth reference frame and observer A obtain the same value for \((a)\) the initial velocity of cart A,

(b) the final velocity of cart B after the collision, and

(c) the relative velocity of the two carts after the collision?