physics

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. Find the time t it takes the first athlete to overtake the second athlete, in terms of d, v1, and v2. At what minimum distance d2 from the leading athlete must the finish line be located so that the trailing athlete can at least tie for the first place? Express d2 in terms of d, v1, and v2 by using the result of part (b).

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  1. V1*t = V2*t + d1.
    V1*t-V2*t = d1, t(V1-V2) = d1, t = d1/(V1-V2).

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  2. meo

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