##### Force Work Power and Energy – Notes

**Motion- Graphical Representative of Motion**

** **Motion can be represented using a line graph comparing dependent quantities and a common independent quantity.

Time is always taken as the independent variable in graphical representation if motion.

A distance – time graph represents the change in the position of an object with the time.

A velocity – time graph represents the change in the velocity of an object with the time.

The area under a velocity- time graph is equal to the magnitude of displacement of the body in a given time.

The equations that define the relationship between velocity and acceleration of a body moving in a straight line are known as equations of motion.

Velocity- time relation: v = u + at

Position – time relation: s = ut + at^{2}

Position – time relation: 2as = v^{2 }– u^{2}