# Question #b63d2

##### 1 Answer

**Energy possessed** by an object **due to its motion** is termed as its **Kinetic Energy**.

It follows that if there is **no motion**, or the **object is stationary**, its **kinetic energy is zero**.

From Law of conservation of Energy we also know that energy can not be created. It however, can be changed from one form to another.

Derivation.

It is assumed mass is constant.

We know that work done in accelerating an object of mass

Using Newton's Second law of Motion

the integral becomes

Writing acceleration in terms of velocity

Rearranging we get

We know that

Assuming that the object was at rest at time

where

As work done is zero when

Hence,