2.11 Area Under Speed-Time Graph
The distance moved by an object can also be determined by using its speed-time graph. For example, when the object is moving with constant speed v, the distance covered in time t is given by:
Distance = v × t
This distance can also be found by calculating the area under the speed-time graph. The area under the graph for time interval t is the area of a rectangle of sides t and v. This area is equal to v × t.
Thus, the area under the speed-time graph up to the time axis is numerically equal to the distance covered by the object in time t.