Anytime you can use real life examples in teaching is a positive experience for the students. Studying the cars on the track and translating the data from runs will help the students learn how calculus has many uses.

It's a lot better when they are running. You can smell the fuel. You can smell the burnt rubber. Ideally, the students can feel, hear, see and smell how calculus works.

This is the big picture. The rest of the year they will see how (the calculus) works.

We use the derivative to find that a rate of change of distance is velocity and we use integral to find that the area under a velocity curve will give us distance.