Changing the subject of the formula into v means expressing v in terms of the other given variables. So given the original equation, as shown below, we can rearrange it so that we have v isolated on one side.
[tex] F = f(1 - \frac{v}{s}) [/tex]
[tex] \frac{F}{f} = 1 - \frac{v}{s} [/tex]
[tex] \frac{v}{s} = 1 - \frac{F}{f} [/tex]
To isolate v, we can just multiply s to both sides and come up with the final equation below.
[tex] v = s(1 - \frac{F}{f}) [/tex]
Thus, we have v = s(1 - F/f) with v as the subject of the formula.
Answer: v = s(1 - F/f)
