Question

the graph above describes the motion of a student walking on a sidewalk. during which segment is the student walking the fastest?
a b - c
b all of the segments have the same velocity.
c a - b
d c - d

Explanation:

Step1: Recall velocity - slope relation

Velocity is given by the slope of a position - time graph. Steeper the slope, greater the velocity.

Step2: Analyze each segment

For segment A - B, it has a positive slope. Segment B - C has a slope of 0 (constant position). Segment C - D has a negative slope.

Step3: Compare slopes

The slope of A - B is steeper compared to the slope of C - D. Since B - C has a slope of 0 (no motion), the segment with the greatest slope (and thus the greatest velocity) is A - B.

Answer:

C. A-B