ib math studies
posted by Yousra .
What are some sophisticated mathematical processes to compare two different cars?

I don't see why sophisticated mathematical processes are needed. Just compare the usual quoted specifications like 0 to 60 acceleration, miles per gallon, horsepower, storage volume etc.
You might try computing the aerodynamic drag coefficient. Only a supercomputer can do that. That's why some still use wind tunnels. 
I'm not sure what you meant by mathematical processes... but maybe measuring their velocities and times and then do a calculation on their accelerations?
You can also apply math to find out their gasoline utilization efficiency. Measure how far a car can go (distance) before using up 10 gallons of gas or however you like to measure. 
To better understand the grade level of this question, it would help to know that the "ib" means in the subject title.

IB stands for international baccalaureate. it's a rigorous program, kinda like AP but with different requirements.