what is velocity time graph?show that area under velocity time graph is equal to displacement
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Explanation:
A velocity vs time graph is a graph that gives us the following information about a moving body:
positive or negative velocity
acceleration or changing of directions by the object
constant acceleration
position of the object
the area under a velocity time graph gives you displacement or the distance travelled by the object [as per question]
to show the above statement consider the velocity time graph of a body in uniform motion by using the formula velocity*time gives displacement.
thus, the area under velocity time graph gives magnitude of displacement.
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