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Math Help - boat speed equation

  1. #1
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    boat speed equation

    " if a boat is moving straight in a line, with speed = v, through water with a resistance which is proportional to v^2; with initial speed v_o and position x_o, find v(t) and x(t)"
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  2. #2
    Super Member ILikeSerena's Avatar
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    Re: boat speed equation

    Quote Originally Posted by learning View Post
    " if a boat is moving straight in a line, with speed = v, through water with a resistance which is proportional to v^2; with initial speed v_o and position x_o, find v(t) and x(t)"
    Hi learning!

    If there are no other external forces, the boat is slowed down with an acceleration of a = - c v^2.
    We can write this as \frac {dv} {dt} = -c v^2.
    Can you solve that and find v(t)?
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