1. The problem is to perform transposition on the equation $$v = u + ft$$ to isolate a specific variable. 2. Transposition means rearranging the equation to solve for one variable in terms of the others. 3. The equation given is $$v = u + ft$$ where $v$, $u$, $f$, and $t$ are variables. 4. Suppose we want to isolate $t$. Start by subtracting $u$ from both sides: $$v - u = u + ft - u$$ 5. Simplify the right side: $$v - u = ft$$ 6. To isolate $t$, divide both sides by $f$: $$\frac{v - u}{f} = \frac{ft}{f}$$ 7. Cancel the $f$ on the right side: $$\frac{v - u}{\cancel{f}} = t$$ 8. So the transposed formula for $t$ is: $$t = \frac{v - u}{f}$$ This means $t$ equals the difference between $v$ and $u$ divided by $f$. Final answer: $$t = \frac{v - u}{f}$$