The skier's acceleration is 6 m/s^2.
The skier's acceleration can be determined by examining the graph. Acceleration is defined as the rate at which velocity changes over time. In this case, the skier's speed is increasing, which means the acceleration is positive.
Looking at the graph, between time 0 and time 2, the skier's speed increases from 0 m/s to 12 m/s. The change in speed is 12 m/s - 0 m/s = 12 m/s. The time interval is 2 seconds. Therefore, the acceleration can be calculated using the formula:
acceleration = change in speed / time interval = 12 m/s / 2 s = 6 m/s^2.