Nolan asked in Science & MathematicsPhysics · 2 months ago

Please help me with physics question ://?

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 1.0 s, the first player makes up his mind to chase his opponent. If he accelerates uniformly at 4.0 m/s2 (Assume that the player with the puck remains in motion at constant speed). 

----How long does it take him to catch his opponent? 

----How far has he traveled in that time? 

Thanks so much, choosing best answer!!

1 Answer

  • NCS
    Lv 7
    2 months ago
    Favorite Answer

    opposing player has a 1 second head start.

    opposing: x = 12m/s*(t + 1s)

    first: x = ½*4.0m/s²*t²

    they're equal when

    12(t+1) = 2.0t²

    This quadratic has a negative root we can ignore and a positive root at t = 6.9 s ◄

    x = 12m/s * 7.9s = 95 m ◄


    x = ½*4.0m/s²*(6.9s)² = 95 m

    Hope this helps!

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