Final answer:
For astronaut B, who has a 300 m distance traveled and more than 200 m displacement, is 'Distance traveled; Displacement'. (option a is the correct answer).
Step-by-step explanation:
When comparing distance traveled with displacement, it is important to understand that the two can differ significantly. The distance traveled refers to the total length of the path covered by an astronaut, regardless of the starting and ending points. Displacement, on the other hand, is the straight-line distance from the initial position to the final position, along with the direction of that straight line.
To illustrate, consider a scenario where an astronaut walks 300 m along a circular path but ends up at a point only slightly more than 200 m away from the starting point. The distance traveled is 300 m, representing the entire path, while the displacement is a bit more than 200 m, reflecting the net change in position. Therefore, option (a) correctly identifies the distance traveled as 300 m and displacement as a bit more than 200 m.
Therefore, the correct option considering astronaut B's situation is: a) 300 m distance traveled and a bit more than 200 m displacement.
To synthesize, in kinematics, the distance traveled can be the same or greater than the displacement; however, it is never less. Displacement takes into account only the straight-line distance from the initial to the final point, accompanied by the direction of this straight line. As a result, when an object moves back and forth, the distance it travels increases, but the displacement may remain small or even zero if it returns to its starting position.