Exercise 8

In this exercise we want to relate the scalar and vector measurements involved in the splitting of acceleration to different modes of transportation. While everyone has different experiences with piloting different modes of transportation, we will phrase this question in terms of riding a bike. Feel free to substitute another mode of transportation like driving a car, riding a scooter, driving a boat, rowing a boat, flying a plane, or flying a spaceship.

1. In the context of riding a bike, what does the unit tangent vector, $\vT$, measure?

2. In the context of riding a bike, what does the unit normal vector, $\vN$, measure?

3. In the context of riding a bike, how would you increase $a_{\vT}$?

4. In the context of riding a bike, how would you decrease $a_{\vT}$?

5. In the context of riding a bike, how would you decrease $a_{\vN}$?

6. In the context of riding a bike, how would you increase $a_{\vN}$?