A car with mass mc $=1420$ kg is traveling west through an intersection with a speed of vc $=7\mathrm{.}71$ m$/$s when a truckof mass m$.=1590$ kg traveling south at vt $=7\mathrm{.}23$ m$/$s fails to yield. The vehicles collide, they stick together, andthey slide on the asphalt which has a coefficient of kinetic friction of uk $=0\mathrm{.}500.$ Associate the positive x directionwith east and the positive y direction with north. How far will the vehicles slide