Final answer:
To create a motion map for a car accelerating eastward from zero, use a reference frame with the car's start as the origin and east as the positive direction. Plot the increasing distance from the origin over time, using arrows to represent the car's displacement and velocity.
Step-by-step explanation:
To draw a motion map for a car accelerating eastward from zero, start by choosing a reference frame with the car's starting point as the origin. The direction of acceleration, eastward, is the positive direction in this case. A speeds up in the eastward direction, the position of the car on the map will show increasing distances from the origin over time. At each time interval, an arrow can be drawn from the previous position to show the car's displacement and the length of the arrow can represent the velocity.
Let's apply this to the example provided. At t=0, the position vector of the car is -2.0 km (2.0 km west of the light), and at t=6.0 min, the position vector is +5.0 km (5.0 km east of the light). The displacement during this period is just the difference in the position vectors, which turns out to be 5.0 km - (-2.0 km) = 7.0 km to the east.