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Velocity is the derivative of position with respect to time (v = dx/dt).

Acceleration is the derivative of velocity with respect to time (a = dv/dt) and therefore the second derivative of position with respect to time (a = d2v/dt2).

A derivative basically refers to the "rate of change" - graphically, it is the slope on a curve.

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βˆ™ 11y ago
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βˆ™ 9y ago

The general case, in symbols:

a = dv/dt

That is, acceleration is the rate of change of velocity. For the simpler case of constant acceleration, the formula becomes:

a = (change in velocity) / (elapsed time)

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βˆ™ 11y ago

acceleration is the slope of the velocity graph.

acceleration is also the derivative of velocity.

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βˆ™ 9y ago

a = dv/dt

For constant acceleration, this is equivalent to:

a = (change in velocity) / time

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Q: What is the relationship between acceleration velocity time and distance?
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