# Acceleration

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Acceleration is defined as the rate of change of velocity with time, i.e. change in velocity divided by time, a = Δv / t (where Δv = v – u). The equation can be rearranged to give v = u + at.

Acceleration is equal to the gradient of a v(t) graph.

If the final velocity is unknown, the displacement of a system with a constant acceleration can be found using an equation s = ut + (at²)/2.

The equations of motion can be combined in a number of ways to find an unknown variable. If time isn’t known, the equation v² = u² + 2as can be used to interpret motion in a system with a constant acceleration.

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