Final answer:
To solve 2v=w+v/t for v, multiply through by t to remove the fraction, then isolate v by factoring it out, and finally divide both sides by the remaining factor to solve for v, resulting in v=wt/(2t-1).
Step-by-step explanation:
Solution to Solve for v in the Equation 2v = w + v/t
To solve for the variable v in the given equation, we'll need to isolate v on one side of the equation. We can start by multiplying through by t to get rid of the fraction:
2vt = wt + v
Next, we'll move all terms involving v to one side of the equation:
2vt - v = wt
Factor v out of the left side:
v(2t - 1) = wt
Finally, divide both sides by (2t - 1) to solve for v:
v = wt / (2t - 1)
This is the solution for v in terms of w and t.