Q. 23.7( 6 Votes )

What is the nature of the displacement-time graph of a body moving with constant acceleration?

Answer :

Displacement – Time graph of a body moving with constant acceleration is as shown in the right side.


Explanation:


Slope of displacement – time graph gives the velocity.


Consider the following graph:



Here AB = Displacement of Body


And OB = Time Taken


Now, Velocity =


But is known as slope of line OA.


We know that in constant acceleration, velocity is changing with time at a constant rate.


Since, Acceleration =


So, slope of displacement – time graph is changing at a constant rate and hence we get a graph like shown at the beginning.


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