Average speed is total distance traveled divided by total time

Steps:

• Determine total time from graph: 14 s.
• Trace the position-time graph to find total distance traveled, accounting for any direction changes (e.g., if cyclist moves forward 30 m then back 2 m, total distance is 32 m).
• Calculate total distance: 28 m (from graph endpoints and path length).
• Divide total distance by time: 28 m / 14 s = 2 m/s.

Why A is correct:

• Average speed formula is total distance / total time; graph yields 28 m over 14 s, equaling 2 m/s.

Why the others are wrong:

• B: Underestimates by ignoring full path length, possibly using net displacement instead.
• C: Overestimates total distance, perhaps doubling a segment.
• D: Assumes straight-line motion without graph's actual path.

Final answer: A