What is the quantity which is measured by the area occupied below the velocity-time graph ?

In relation to a velocity-time graph

Area under a velocity-time graph gives

What does the slope of velocity-time graph represent ?

Name the physical quantity, which is expressed as force times velocity.

Graphs are very useful to represent a physical situation. Various quantities can be easily represented on graphs and other quantites can be determined from the graph. For example the slope of velocity-time graph represents instantaneous acceleration. For a motion with constant acceleration slope of velocity-time graph is constant. If acceleration is changing with time, slope with change and thus velocity-time graph will be a non-linear curve. Further the area of velocity-time graph gives displacement. For the above situation let t_(1) be the time of accelerated motion and t_(2) be the time or retarded motion, then the correct relation is

Which one of the following characteristics of the particle does the shaded area of the velocity-time graph shown above represent?

Draw velocity-time graphof uniform motion and prove that the area under the velocity-time graph of a particle gives the displacement of the particle in a given time.