51. Athletes 1 and 2 run along a straight track with velocities v1 (t) and v2(t) (in meters per second) as shown in Figure 22. (a) Which of the following is represented by the area of the shaded region over [0, 10]? i. The distance between athletes 1 and 2 at time t = 10 s ii. The difference in the distance traveled by the athletes over the time interval [0, 10] (b) Does Figure 22 give us enough information to determine who is ahead at time t = 10 s? (c) If the athletes begin at the same time and place, who is ahead at t = 10 s? At t = 25 s? (m/s) 6. 4 t (s) 30 10 15 20 25 FIGURE 22

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