Three identical carts A, B, and C move along a straight track. For each cart, the graph of velocity v versus time t is a straight-line segment of equal duration, described below.
• Cart A: v increases uniformly from 0m/s to +6m/s.
• Cart B: v increases uniformly from +3m/s to +9m/s.
• Cart C: v decreases uniformly from +8m/s to +2m/s.
Rank the magnitudes of the accelerations of the three carts from greatest to least and briefly state the reasoning for your ranking.