To solve for v sub f in the equation (2)d = t(v sub i + v sub f), we can follow these steps:
1. Start by expanding the right side of the equation:
(2)d = t(v sub i + v sub f)
2d = t(v sub i) + t(v sub f)
2. Move the term t(v sub i) to the other side of the equation by subtracting it from both sides:
2d - t(v sub i) = t(v sub f)
3. Divide both sides by t to isolate v sub f:
(2d - t(v sub i)) / t = v sub f
Therefore, the solution for v sub f is:
v sub f = (2d - t(v sub i)) / t