# Acceleration

Acceleration, abbreviated as a, is the rate of change of velocity with time. Like velocity, this is a vector quantity that has a direction as well as a magnitude. Whenever a mass experiences a force, an acceleration is acting. An increase in velocity is commonly called acceleration while a decrease in velocity is deceleration. Acceleration is a vector quantity having magnitude and direction, some of these include displacement, drag, force, lift, momentum, thrust, torque, velocity and weight.

## Acceleration Types

**Angular Acceleration**- An object is the rate at which the angle velocity changes with respect to time.

**Centripetal Acceleration**- The change in the velocity, which is a vector, either in speed or direction as an object makes its way around a circular path.

**Constant Acceleration**- An object is the constant rate in a straight line at which the velocity changes with respect to time.

**Gravitational Acceleration**- The force on an object caused only by gravity.

**Instantaneous Acceleration**- The acceleration at a particular moment in time along its path.

**Tangential Acceleration**- How much the tangential velocity of a point at a radius changes with time.

**Uniform Acceleration**- When an object is traveling in a straight line with a uniform increase in velocity at equal intervals of time.

**Non-uniform Acceleration**- When an object is traveling with a uniform increase in velocity but not at equal intervals of time.

## Acceleration formulas |
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\(\large{ a = \frac{ \Delta v }{ t } }\) \(\large{ a = \frac{ v_f \;-\; v_i }{ t } }\) |
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Symbol |
English |
Metric |

\(\large{ a }\) = acceleration | \(\large{\frac{ft}{sec^2}}\) | \(\large{\frac{m}{s^2}}\) |

\(\large{ t }\) = time | \(\large{sec}\) | \(\large{s}\) |

\(\large{ \Delta v }\) = velocity differential | \(\large{\frac{ft}{sec}}\) | \(\large{\frac{m}{s}}\) |

\(\large{ v_i }\) = initial velocity | \(\large{\frac{ft}{sec}}\) | \(\large{\frac{m}{s}}\) |

\(\large{ v_f }\) = final velocity | \(\large{\frac{ft}{sec}}\) | \(\large{\frac{m}{s}}\) |

## Acceleration Calculator