Solve Deltas={v}_{m}Deltat

$$\Delta s = { v }_{ m } \Delta t$$

Solve for s (complex solution)

$$\left\{\begin{matrix}s=\frac{v}{\Delta }\text{, }&\Delta \neq 0\\s\in \mathrm{C}\text{, }&v=0\text{ and }\Delta =0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$\Delta s=v$$

Divide both sides by \Delta .

$$\frac{\Delta s}{\Delta }=\frac{v}{\Delta }$$

Dividing by \Delta undoes the multiplication by \Delta .

$$s=\frac{v}{\Delta }$$

Solve for s

$$\left\{\begin{matrix}s=\frac{v}{\Delta }\text{, }&\Delta \neq 0\\s\in \mathrm{R}\text{, }&v=0\text{ and }\Delta =0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$\Delta s=v$$

Divide both sides by \Delta .

$$\frac{\Delta s}{\Delta }=\frac{v}{\Delta }$$

Dividing by \Delta undoes the multiplication by \Delta .

$$s=\frac{v}{\Delta }$$

Solve for v

$$v=s\Delta$$

Solution Steps

Swap sides so that all variable terms are on the left hand side.

$$v=\Delta s$$