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 and . Draw perpendiculars AC and BD from the points corresponding to time and time on the graph. Now, AC = BD = Velocity of the body
Thus, = area of rectangle ABCD Also, = velocity time = distance or magnitude of displacement Thus, magnitude of displacement = area under velocity - time graph |
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