$(20$ points$)$ An SUV with a mass of $2000$ kg is driving along at $40mph(18\frac{m}{s}).$ While crossing an intersection, it is hit from the side by a $1500$ kg hatchback traveling $90$ to the SUV's original direction The two cars stick together and skid at a $40$ relative to the SUV's original motion.

a$.(3$ points$)$ During the collision, how will the forces between the cars compare to the forces with the road? $($Much bigger, about the same, or much smaller?$)$ What does this say about whether we can use conservation of momentum?

b$.(7$ points$)$ What is the $x-$velocity of the

two cars after collision?

c$.$ what is the y$-$velocity of the two cars after the collision?

d$.$ what was the velocity of the hatchback before the collision?