Question:

How do you find velocity from acceleration, mass, and distance?

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acceleration = 9.8 m/s^2

mass = 0.08 kg

distance = 6 m

what is the velocity of the object at the 6 m point? (I don't think mass should matter)

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  1. You have a formula in your text book plug in those numbers, you spent 100X more time asking about this.

    V1 (initial is 0)


  2. Basic formula

    Df = Di + Vi*t + 1/2*A*t^2

    Where

    Df= the final displacement

    Di = initial displacement

    Vi = initial velocity

    A = acceleration

    t = time

    ASSUMING that it starts at an initial displacement of zero and an initial velocity of zero this gives us

    Df = 1/2*A*t^2 or that

    t = Sqrt(Dtot/{1/2*A})

    Plug in your given distance for Dtot and your given acceleration for A to get "t"

    Now that you have t, you can get the final velocity from that

    Vf = Vi + A*t

    Where again

    Vf = final velocity

    Vi = initial velocity

    That's pretty much everything besides actually plugging in the numbers.  You're correct in that mass doesn't matter here.

  3. Well, if you look at the definition of acceleration, it says the amount of increase in speed per second. 9.8 m/s^2 means the mass is increasing 9.8 m/s every second. We need to know the initial velocity however. That fact is very important. In most cases it's just 0 though, but never assume. Anyways, use this handy little formula (it should be in your book).

    v^2=vinitial^2 + 2*acceleration*distance

  4. you need a time at which the object took to get there

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