A Negative Velocity?

Calculus Level 1

At which point in the graph is the instantaneous velocity negative?

E F D C

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Gagan Raj by Gagan Raj , 23, India

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2 solutions

Gagan Raj
Mar 21, 2015

The slope of d i s p l a c e m e n t − t i m e displacement-time graph gives the value of velocity and at the point E E , the slope of the curve is negative. Hence the velocity is negative at E E .

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Drawing tangents to the points C , D , E C, D, E and F F in the graph, we observe that the slope of the tangent is negative only at point E E , and the slope of tangent to a point in displacement-time graph gives the instantaneous velocity at that point. Hence, at E E , the instantaneous velocity is negative.

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