Chapter 15.5, Problem 2bTH

A car, a truck, and a traffic cone are on a straight road. Their positions are shown at instants 1−3, separated by equal time intervals.

1. In the space below, draw a vector diagram to show which of these three displacement vectors is the sum of the other two.

Express the relationship between the three vectors as an algebraic equation. Use $\Delta {\stackrel{\to }{x}}_{car,cone}$ to denote the displacement of the car in the frame of the traffic cone, $\Delta {\stackrel{\to }{x}}_{car,truck}$ to denote the displacement of the car in the frame of the truck, etc.