What is the answer to solvefor t,a=(Wf-Wi)/t ?

The answer to solvefor t,a=(Wf-Wi)/t is t=(fW)/a-W/a i

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solvefor t,a=(Wf-Wi)/t

solve for

t, a = \frac{W f - Wi}{t}

t = \frac{f W}{a} - \frac{W}{a} i

Solution steps

a = \frac{W f - Wi}{t}

Substitute

t = x + y i

a = \frac{W f - Wi}{x + y i}

Multiply both sides by

x + y i

a (x + y i) = \frac{W f - Wi}{x + y i} (x + y i)

Expand

a x + ia y = f W - iW

Complex numbers can be equal only if their real and imaginary parts are equalRewrite as system of equations:

[a x = f W a y = - W]

[a x = f W a y = - W] : (x = \frac{f W}{a}, y = - \frac{W}{a})

Substitute back

t = x + y i

t = \frac{f W}{a} - \frac{W}{a} i

∣ z - i ∣ = 0

z^{2} = - (\frac{2}{3}) i

x + i y + \frac{1}{x + i y} = 0

x (1 - x) = y^{2} - i y (2 x + 1)

(a^{2} - b^{2} - a + b) + (2 ab - b + a) i = 0

What is the answer to solvefor t,a=(Wf-Wi)/t ?
The answer to solvefor t,a=(Wf-Wi)/t is t=(fW)/a-W/a i