Activity 10.7.4

In this activity, you will determine if the measurements related to the splitting of acceleration are properties of the driver or properties of the road. This is a continuation of this activity. As a reminder, a measurement is a property of the driver if the value of that measurement can be different for different drivers when measured at the same location on the racetrack. A measurement is a property of the road when different drivers must have the same value(s) when measured at the same location on the racetrack.

1. Pedal Usage: We measure the pedal usage as $+$, $-$, or $0$ in the following way:

   • $+$ if the gas pedal is being used
   • $-$ if the brake pedal is being used
   • $0$ if no pedal is being used

   Since our drivers are safety minded, they do not use more than one pedal at a time. Note that this measurement is a sign rather than a numerical value. Which vector calculus quantity's sign corresponds to the pedal usage? Write a sentence to explain your answer.

2. Describe how the value of $a_{\vec{N}}$ would be felt by the driver in our analogy.

3. In terms of the race car analogy, explain why $a_{\vec{N}}$ can't be negative.

4. Write a few sentences about whether $a_{\vT}$ is a property of the driver or a property of the road.

5. Write a few sentences about whether $a_{\vN}$ is a property of the driver or a property of the road.