Answer:
direction =

velocity =

distance skid = 145.2 meters
Step-by-step explanation:
Let the mass of the car 1 m1 = 1500 kg, m2 = 1000 kg, v1 = 90 km/h and v2 = 60 km/h.
v1 = 90 i and v2 = 60 j.
applying conservation of linear momentum in i and j direction since there is no external force involved.
along i direction:
1
along j direction:
2
where v is the new velocity of combined car and Ф is the angle made with x axis.
equation 2÷1

therefore \tan \Phi = \frac{4}{9}


therefore the direction is

and velocity will be

the car will skid until the total energy of the car is dissipiated by friction
therefore

substituting the values we get x = 145.2 meters