A car with mass mc = 1453 kg is traveling west through an intersection at a magnitude of velocity of vc = 9.5 m/s when a truck of mass mt = 1700 kg traveling south at vt = 12.6 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 μk = 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?