One athlete in a race running on a long, straight track

Chapter 2, Problem 2.52

(choose chapter or problem)

One athlete in a race running on a long, straight track with a constant speed v1 is a distance d behind a second athlete running with a constant speed v2. (a) Under what circumstances is the fi rst athlete able to overtake the second athlete? (b) Find the time t it takes the fi rst athlete to overtake the second athlete, in terms of d, v1, and v2. (c) At what minimum distance d2 from the leading athlete must the fi nish line be located so that the trailing athlete can at least tie for fi rst place? Express d2 in terms of d, v1, and v2 by using the result of part (b).

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