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Math Help - Finding time given accelration & velocity

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    Finding time given accelration & velocity

    A particle travels horizontally with a retardation of v^2/250 m/s^2 when its speed is v m/s. find the interval of time over which its speed drops from 1000 to 500 m/s.
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    Quote Originally Posted by delicate_tears View Post
    A particle travels horizontally with a retardation of v^2/250 m/s^2 when its speed is v m/s. find the interval of time over which its speed drops from 1000 to 500 m/s.
    \displaystyle \frac{dv}{dt} = -\frac{v^2}{250}

    separate variables and solve the differential equation using the initial condition v(0) = 1000 \, m/s to get velocity as a function of time.
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