In this activity we will look at the measurement of curvature and determine if curvature is a property of the driver or a property of the road. This is a continuation of this activity. As a reminder, a measurement is a property of the driver if the value(s) 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).
Is curvature a property of the driver or the road? Write a few sentences about your reasoning and be sure to address why every driver may or may not have the same measurement at the same location on the track.
What is the curvature on a straightaway (the race track is a line segment)? What would the radius of curvature be for a straightaway? Write a couple of sentences to justify your answers.
Long, Keller & Schlicker, Active Calculus Multivariable, §10.6 Curvature, Activity 10.6.4