Physics

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Runner A is initially 5.3km west of a flagpole and is running with a constant velocity of 8.8km/hr due east. Runner B is initially 4.2km east of the flagpole and is running with a constant velocity of 7.9km/hr due west. How far are the runners from the flagpole when their paths cross in units of km?

  • Physics -

    d1 + d2 = 5.3+4.2 = 9.5 km = Distance
    between the runners.

    8.8t + 7.9t = 9.5
    16.7t = 9.5
    t = 0.569 h. to cross paths.

    d1 = 5.3 - 8.8*0.569 = 0.293 km West of flagpole.

    d2 = 4.2 - 7.9*0.569 = -0.295 km West of
    Flagpole.

    So they meet at approximately 0.294 km
    west of flagpole.

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