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Math Help - Physics proof?

  1. #1
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    Physics proof?

    My professor asked for us to complete this proof but I am completely stumped. Can anyone please help? Here is all the info he gave us:

    x= V_0x(t)+1/2 a_x(t)^2 ---> x=V_0x(t)
    y= V_0y(t) + 1/2 a_y(t)^2 ---> y= V_0y(t)

    Show: y= f(x) = Ax^2 + Bx + C i.e.
    y=f(x) is a parabola and identify A,B,C
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  2. #2
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    Quote Originally Posted by colerelm1 View Post
    My professor asked for us to complete this proof but I am completely stumped. Can anyone please help? Here is all the info he gave us:

    x= V_0x(t)+1/2 a_x(t)^2 ---> x=V_0x(t)
    y= V_0y(t) + 1/2 a_y(t)^2 ---> y= V_0y(t)

    Show: y= f(x) = Ax^2 + Bx + C i.e.
    y=f(x) is a parabola and identify A,B,C
    I think the parametric equations you're probably meant to be using are:

    \displaystyle x = V_{0x} t .... (1)

    \displaystyle y = V_{0y} t + \frac{1}{2} a_{y} t^2 .... (2)

    In which case, from (1): \displaystyle t = \frac{x}{V_{0x}} .... (3)

    Substitute (3) into (2) etc.
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