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A hockey player is standing on his skates on a frozen pond when an opposing player, moving with a uniform speed of 12 m/s, skates by with the puck. After 2.0 s, the first player makes up his mind to chase his opponent. If he accelerates uniformly at 4.0 m/s2, determine each of the following.
(a) How long does it take him to catch his opponent?(b) How far has he traveled in that time?

  • physics -

    a. d1 = Vo*t + at^2,

    d2 = 12(t+2),

    d1 = d2,

    0 + 0.5*4t^2 = 12(t+2),
    2t^2 = 12t + 24,
    2t^2 - 12t - 24 = 0,
    Divide both sides by 2:
    t^2 - 6t - 12 = 0.
    Use Quadratic Formula to find t:
    t = 7.58s.

    b. d = 0 + 0.5*4*(7.58)^2 = 114.9s.

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