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Velocity changing with instantenous + constant acceleration

  1. Feb 15, 2010 #1
    Velocity changing with instantaneous + constant acceleration

    A velocity at time t, V2, is dependant on
    2 accelerations...
    a = constant acceleration
    a2 = acceleration dependant on velocity (instantaneous)

    So basically...the whole thing goes like this

    V2 = V1 + at + (Sqrt(xV1 - y) + z)
    a,x,y,z are known constants

    V3 = V2 + at2 + (Sqrt(xV2 - y) + z)

    V4 = V3 + at3 + (Sqrt(xV3 - y) + z)

    How would I come up with an equation for the overall velocity equation where lets say..given a starting velocity V1, I can come up with the instantaneous velocity after a certain time?
    Like... how can I calc V4 given V1 and total time (t1+t2+t3)

    I wanna come up with a d(t) equation by integrating a v(t) equation but Im stuck at this part..
    Last edited: Feb 15, 2010
  2. jcsd
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