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Motion In Straight Line

Question
CBSEENPH11017122

Find the average velocity of particle from displacement time graph?

Solution
Average velocity of a particle is defined as the ratio of total displacement to the total time taken. 

From graph the particle undergoes displacement of (X
2-X1) in time (t2 - t1).

 Average velocity = Total distance travelledTotal time taken                                    =x2-x1t2-t1                                   = ACBC =tanθ                                   = Slope of chord AB

Hence, average velocity is the slope of chord joining the two points on displacement-time graph.