Speed-time graphs are very useful when describing the movement of an object. This is a velocity time graph of an object moving in a straight line due North. The displacement of this object is the ...

The area under a velocity-time graph gives the displacement. The velocity-time and acceleration-time graphs for common motions are shown below.

Derivation Of First Equation The first equation can be derived using a velocity-time graph for a moving object with an initial velocity of u, final velocity of v and acceleration of a.