In this lesson, we will learn:

- What is impulse?
- Derivation of impulse from Newton's second law
- Impulse equations, units
- Problem solving with impulse and momentum
- Problem solving with F vs t graph

__Notes:____Impulse__is change in an object's momentum.- To change an object's momentum, an impulse must be given to that object. An example would be kicking a soccer ball (an impulse) to set it into motion (give it momentum).
- An impulse is defined as a force that acts on an object for a period of time.
- In a graph of force vs. time, the area under the graph is impulse.

**Momentum**

$\vec{p} = m \vec{v}$

$\vec{p}:$ momentum, in kilogram meters per second (kg∙m/s)

$m:$ mass, in kilograms (kg)

$\vec{v}:$ velocity, in meters per second (m/s)

**Impulse**

$\vec{J} = \vec{F} \Delta t = \Delta \vec{p} = m( \vec{v}_f - \vec{v}_i$)

$\vec{J}:$ impulse, in newton seconds (N∙s)

$\vec{F}:$ net force acting on an object, in newtons (N)

$\Delta t:$ the length of time for which the force acts, in seconds (s)

$\Delta \vec{p}:$change in momentum of an object, in kilogram meters per second (kg∙m/s)