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March 30, 2017

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In an historical movie, two knights on horseback start from rest 72.6 m apart and ride directly toward each other to do battle. Sir George's acceleration has a magnitude of 0.280 m/s2, while Sir Alfred's has a magnitude of 0.250 m/s2. Relative to Sir George's starting point, where do the knights collide?

  • physics - ,

    The space between the knights diminishes at a rate 0.530 m/s^2

    Collision occurs when
    (1/2)*0.530 t^2 = 72.6 m

    t^2 = 274
    t = 16.55 s

    George will have moved
    (1/2)*0.280*t^2 = 38.35 m
    from his initial position at that time -- a bit more than half the initial separation.

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