Question

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 from slope sign

Car A (orange line): positive slope → increasing position. Car B (blue line): negative slope → decreasing position. So opposite directions.

Step2: Compare speed via slope steepness

Car A’s slope is steeper than Car B’s → faster speed.

Step3: Check start positions (t=0)

Car A starts at position 0; Car B starts at higher position → different starts.

Step4: Check crossover meaning

Crossover = same position at same time → pass each other.

Step5: Evaluate "toward origin"

Car A moves away from origin (position increases from 0); Car B may move toward origin but A does not → false.

Answer:

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