Question

6 multiple choice 1 point match the graph to its correct description. position vs. time 10 8 4 2 0 0 1 2 3 4 5 6 7 8 9 10 time (seconds) image_png both objects are going at the same constant speed in the same direction. the purple object is going at a slower constant than the blue object in the positive direction. the blue object is going at a faster constant speed and in the opposite direction from the purple object. both objects are going at the same constant speed, but in opposite directions.

Explanation:

1. Calculate speed (slope) for blue object: $\text{Speed} = \frac{\Delta \text{Position}}{\Delta \text{Time}} = \frac{10-0}{10-0} = 1$ m/s, moving in positive direction (position increases with time).
2. Calculate speed (slope) for purple object: $\text{Speed} = \frac{0-6}{10-0} = 0.6$ m/s (magnitude), moving in negative direction (position decreases with time).
3. Compare: Blue object has a faster constant speed, opposite direction to purple.

Answer:

The blue object is going at a faster constant speed and in the opposite direction from the purple object.