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Q.

The velocity and time graph for a particle moving in a straight line s shown in the figure. Then, the average velocity between t = 4 s and t=6 s is____

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a

10.5ms–1

b

12.5ms–1

c

7.5ms–1

d

9.5ms–1

answer is B.

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Detailed Solution

Average velocity = total displacement/total time

Vavg for time interval 4 to 6 secs is 

Vavg = (area under the curve from t = 4 to 6)/2secs

Curve can be written as v = (15/6)t

Area = 4615/6tdt = 15t2/12 = 25

Vavg = 25/2 = 12.5m/s

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The velocity and time graph for a particle moving in a straight line s shown in the figure. Then, the average velocity between t = 4 s and t=6 s is____