Steepest slope indicates fastest speed on distance-time graph

Steps:

• Locate straight-line segments, which show constant speed.
• Compute slope for each: speed = rise (Δdistance) / run (Δtime).
• Compare slopes: higher value means faster speed.
• Identify the segment with maximum slope.

Why C is correct:

• C has the steepest slope, so maximum speed per the formula speed = gradient = Δdistance/Δtime.

Why the others are wrong:

• A: Shallowest slope, so slowest constant speed.
• B: Moderate slope, slower than C's steep slope.
• D: Less steep than C, indicating lower constant speed.

Final answer: C