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Math Help - velocity - displacement help

  1. #1
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    velocity - displacement help

    when given the function:

    v = 100( 9.8 - e^(t/-100)

    how can i get a displacement function?

    that is, i need a function of displacement with respect to velocity
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  2. #2
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    Quote Originally Posted by cawcutt92 View Post
    when given the function:

    v = 100( 9.8 - e^(t/-100)

    how can i get a displacement function?

    that is, i need a function of displacement with respect to velocity
    Are we to assume that v is a velocity function? If so then v= \frac{dx}{dt} where x is the displacement function. To go from v to x, you need to "reverse" the derivative which means find the anti-derivative or integral. Integrating this directly will give x as a function of t. But it is not too hard to solve the given equation for t as a function of v and then just replace t.

    Two other points: your formula is missing a right parenthesis ")" so it is a little ambiguous. "Displacement" means distance from a specific point. What specific point are you talking about? The position at t= 0? Since integrating will introduce a "constant of integration", you will need to know that to find a value for the constant.
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  3. #3
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    hey,

    yes i can simply integrate this velocity function to get a displacement function However, i need this displacement function to be with respect to velocity rather than time.

    the ')' is missing from the end of the equation, my mistake.

    i am not sure how to get this displacement function to be a function of velocity rather than time.

    yes the displacement will be from t=0. on the whole i am trying to determine the final velocity of an object falling 15 metres with negligible initial velocity and a wind resistance of 0.01v. so once i have a displacement function i can determine this

    thanks
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