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Question
The graph represents the s-t curve of a body moving in a straight line. At which moment 't' is the instantaneous velocity approximately equal to the average velocity over the first 't' seconds?
The graph represents the s-t curve of a body moving in a straight line. At which moment 't' is the instantaneous velocity approximately equal to the average velocity over the first 't' seconds?
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Solution
The correct option is C
From the hint, we can see that, we need to find a point 't' such that slope of the tangent at the point equals the slope of the line joining the origin and the point.
Therefore closest answer is t3.
Extra:-
Average Velocity = displacementtime taken = △g△x
From the figure we can see that average velocity is equal to slope of OA.
From the hint, we can see that, we need to find a point 't' such that slope of the tangent at the point equals the slope of the line joining the origin and the point.
Therefore closest answer is t3.
Extra:-
Average Velocity = displacementtime taken = △g△x
From the figure we can see that average velocity is equal to slope of OA.
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