Delta-v (physics)

In general physics, delta-v is simply the change in velocity. The Greek letter delta is a standard mathematical symbol to represent change (and can be thought of as a fulcrum with a beginning and ending state).

Depending on the situation, delta-v can be referred to as a spatial vectorv) or scalarv). In both cases it is equal to the acceleration (vector or scalar) integrated over time:

\Delta \mathbf{v} = \mathbf{v}_1 - \mathbf{v}_0 = \int^{t_1}_{t_0} \mathbf {a} \, dt (vector version)
\Delta{v} = {v}_1 - {v}_0 = \int^{t_1}_{t_0} {a} \, dt (scalar version)

where: