Question

comparing the motion of two cars
position vs time for two cars
which statements best describe the motion of car a and car b? check all that apply.
car a and car b are both moving toward the origin.
car a and car b are moving in opposite directions.
car a is moving faster than car b.
car a and car b started at the same location.
car a and car b pass each other at the crossover point on the graph.

Explanation:

Step1: Analyze direction of motion

Car A's position - time graph has a positive - slope, meaning it moves away from the origin. Car B's position - time graph has a negative - slope, meaning it moves toward the origin. So they are moving in opposite directions.

Step2: Analyze speed

The slope of the position - time graph represents speed. The slope of Car A's graph is steeper than that of Car B's graph, so Car A is moving faster than Car B.

Step3: Analyze starting position

Car A starts at the origin (position = 0 at time = 0), while Car B starts at a non - zero positive position. So they did not start at the same location.

Step4: Analyze intersection point

The crossover point on the graph represents the time and position where the two cars are at the same place, i.e., they pass each other.

Answer:

Car A and Car B are moving in opposite directions.
Car A is moving faster than Car B.
Car A and Car B pass each other at the crossover point on the graph.