# Delta-v (physics)

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In general physics, delta-v is simply a change in velocity. The Greek uppercase letter delta is the standard mathematical symbol to represent change in some quantity.

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

${\displaystyle \Delta \mathbf {v} =\mathbf {v} _{1}-\mathbf {v} _{0}=\int _{t_{0}}^{t_{1}}\mathbf {a} \,dt}$ (vector version)
${\displaystyle \Delta {v}={v}_{1}-{v}_{0}=\int _{t_{0}}^{t_{1}}{a}\,dt}$ (scalar version)

where:

• v0 or v0 is initial velocity (at time t0),
• v1 or v1 is subsequent velocity (at time t1).