Acceleration is the slope of the speed-time graph

Steps:

• Identify sections A, B, C, D on the velocity-time graph.
• Calculate acceleration as change in speed divided by change in time for each section (slope = Δv/Δt).
• Compare the absolute values of the slopes to find the largest magnitude.
• Select the section with the steepest positive slope.

Why A is correct:

• Section A has the steepest slope, so by definition, acceleration a = Δv/Δt is largest there.

Why the others are wrong:

• B has a moderate slope, yielding smaller acceleration than A.
• C has a shallow slope, resulting in even smaller acceleration.
• D has zero or negative slope, indicating constant speed or deceleration, not largest acceleration.

Final answer: A