### Impulse

Impulse is defined as the product of the force (F) acting on an object and the time of action (t).- Impulse is the product between the force, F with the time of impact, t.
- Impulse is also defined as the change in momentum.
- Impulse is a vector quantity.
- An impulse will cause velocity change of an object.

#### Formula of impulse

Impulse is the product of force and time.$$\text{Impulse}=F\times t$$

Impulse = momentum change

$$\text{Impulse}=mv-mu$$

**Example**:

A billiard ball weighing 0.25 kg is in a stationary state on a smooth billiard table. The ball is then given an impulse as much as 3.0Ns horizontally. What is the velocity of the ball after impact?

**Answer**:

Mass of the billiard ball, m = 0.25kg

Initial velocity of the billiard ball, u = 0

Impulse = 3.0Ns

Final velocity, v = ?

Impulse = momentum change = mv - mu

(3.0) = (0.25)v - (0.25)(0)

3 = 0.25v

v = 3/0.25 = 12 m/s