### Momentum

- Momentum is defined as the product of mass and velocity.
- Momentum is a vector quantity. It has both magnitude and direction.
- The SI unit of momentum is kgms
^{-1}

####
Formula**:**

**Example**:

A student releases a ball with mass of 2 kg from a height of 5 m from the ground. What would be the momentum of the ball just before it hits the ground?

**Answer**:

In order to find the momentum, we need to know the mass and the velocity of the ball right before it hits the ground.

It's given that the mass, m = 2kg.

The velocity is not given directly. However, we can determine the velocity, v, by using the linear equation of uniform acceleration.

This is a free falling motion,

The initial velocity, u = 0

The acceleration, a = gravirational acceleration, g = 10ms

^{-2}

The dispacement, s = high = 50m.

The final velocity = ?

From the equation

v

^{2}= u

^{2}+ 2as

v

^{2}= (0)

^{2}+ 2(10)(5)

v = 10ms

^{-1}

The momentum,

p = mv =(2)(10) = 20 kgms

^{-1}