In the lines below, where does the 2Vo come from? The 2Vo I speak of is to the right of the first equal sign.

. . . . .[tex]v(t)^2\, =\, v_0^2\, +\, a^2(t\, -\, t_0)^2\, +\, 2v_0 a(t\, -\, t_0)[/tex]

. . . . . . . . .[tex]=\, v_0^2\, +\, 2a\, \left(\frac{1}{2}a(t\, -\, t_0)^2\, +\, v_0 (t\, -\, t_0)\right)[/tex]

. . . . . . . . .[tex]=\, v_0^2\, +\, 2a(x(t)\, -\, x_0)[/tex]

Also,

which calculus steps are required to transform 1/2at^2 into x? I am referring to the part of the

equation to the right of the second equal sign for this second question.

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