# Mathematics-Acceleration

Acceleration is the rate of change of velocity. In one dimensional motion acceleration is rate at which something speed up or slow down its motion. Since velocity is a vector quantity, acceleration is

**rate of change of both magnitude and direction of velocity.**

Accelaration has the dimension L / T^{2} , SI unit is m / s^{2} ( meter / seconds^{2} ) . Negative acceleration is called retardation and it has also same dimension and units.

Actually Acceleration is the term used for an increase in speed, and Deceleration is the term used for a decrease in speed. For rotary motion change in direction of velocity results in centripetal acceleration and rate of change of speed is called tangential acceleration.

By Newton’s Second Law of Motion F = MA ; M= mass of a body and A = acceleration of the body and F is resultant force acting on the body.

If V is the velocity of a moving particle , the acceleration ‘A’ of a particle is defined as A = dV / dt ; ie. The rate of change of velocity with respect to time.

Uniform acceleration or Constant acceleration is type of motion in which the velocity of an object changes by an equal amount in every equal time period.