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Math Help - Trig Modelling

  1. #1
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    Trig Modelling

    A mass on a spring moves up and down with its displacement given by;
    x=3-4cos((2pi/5)t). X is in centimetres and t is in seconds.

    a)find the inital displacement
    b)the displacement after 30 seconds
    c)the greatest displacement

    Help greatly appreciated in advance
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  2. #2
    Super Member flyingsquirrel's Avatar
    Joined
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    Hi
    Quote Originally Posted by Webby View Post
    A mass on a spring moves up and down with its displacement given by;
    x=3-4cos((2pi/5)t). X is in centimetres and t is in seconds.

    a)find the inital displacement
    This is x(0)=3-4\cos\left(\frac{2\pi}{5}\cdot 0\right)= ?
    b)the displacement after 30 seconds
    This is x(30)=3-4\cos\left(\frac{2\pi}{5}\cdot 30\right)= ?
    c)the greatest displacement
    Find the maximum of x(t) using its derivative or the properties of the cosine function.
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