# Acceleration

**Acceleration**:

When the velocity of a particle changes then it is said to undergo acceleration.

Acceleration is a vector quantity.

When velocity of the object increases then the acceleration is positive and when velocity decreases the acceleration is negative and is called deceleration.

Mathematically,

For an motion along an axis:

Average acceleration =

Where , “v2″ is the velocity at time “t2″ and “v1″ is the velocity at time “t1″.

And the limiting value of the average acceleration as tends towards zero , is called instantaneous acceleration or simply acceleration.

Mathematically,

Acceleration =

Or, Acceleration of a particle at a given constant is the rate of change of velocity at the instant. And acceleration is the derivative of velocity of a particle and the second derivative of it’s position( x ).

Mathematically:

Acceleration =

**unit**: The unit of acceleration in which it’s mathematical value is expressed is “meters per second squared” or , length per time squared.

Related posts:

- Instantaneous velocity and speed. Instantaneous velocity: Beside instantaneous velocity , average velocity is a...
- Average velocity and Average speed. Average velocity: Average velocity is the measure of the average...
- The Chain Rule. Chain Rule is one of the Techniques of Differentiation. The...
- Second and higher derivatives. Think of a function y=f(x) , and let y=f(x) be...
- The Quotient Rule. Quotient Rule is one of the Techniques of Differentiation. The...