How do you determine how far your vehicle is traveling per second?

Answer 1

If you are actually in your car, check the spedometer. That will tell you your instantaneous velocity; that is, distance traveled per second.

If this is a calculus question and you are given the function of your position with respect to time, simply take the derivative of your function and evaluate your derivative at the time at which you would like to determine your instantaneous velocity.

Alternatively and more unlikely, you can integrate your acceleration function and solve for your antiderivative based on an initial value given by the context of the problem.