Velocity-Time Graph For A Body Moving With Constant Velocity


 
 
Concept Explanation
 

Velocity-Time Graph For A Body Moving With Constant Velocity

Velocity-Time Graph:

Velocity-time graph shows how to velocity of a body changes with passage of time. To draw velocity-time graph, velocity of the body is plotted along Y-axis and the time taken by the body is plotted along X-axis. Velocity-time graphs under various conditions are explained as below:

(i) Velocity-Time Graph for a Body Moving with Constant Velocity:

When a body moves with constant velocity,i.e. its motion is uniform, then its velocity does not change with time. The graph will be a straight line parallel to the time axis.

Interpretation: From the graph, it is clear that with the passage of time, there is no change in the velocity, the body is moving with constant velocity.

Calculation of distance or magnitude of displacement  Let us calculate the distance of magnitude of the displacement of a body between time large t_{1} and large t_{2}.  Draw perpendiculars AC and BD from the points corresponding to time large t_{1} and time large t_{2} on the graph.

Now,             AC = BD = Velocity of the body

                   large DC=(t_{2}-t_{1})=time;travel

Thus,  large ACtimes CD = area of rectangle ABCD

Also,  large ACtimes CD = velocity large times time

                      = distance or magnitude of displacement

Thus, magnitude of displacement

                    = area under velocity - time graph

 
 


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