A car with mass mc = 1178 kg is traveling west through an intersection at a magnitude of velocity of Vc = 12 m/s when a truck of mass mt = 1734 kg traveling south at vt = 14.2 m/s fails to yield and collides with the car. The vehicles become stuck together and slide on the asphalt, which has a coefficient of friction of k = 0.5. a) Write an expression for the velocity of the system after the collision, in terms of the variables given in the problem statement and the unit vectors i and j. b) How far, in meters, will the vehicles slide after the collision?