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Q.

Velocity-time (v-t) graph for a moving object is shown in the figure. Total displacement of the object during the time interval when there is non-zero acceleration and retardation is

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a

30 m

b

40 m

c

60 m

d

50 m

answer is B.

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Detailed Solution

Between time interval 20 sec to 40 sec, there is non-zero acceleration and    retardation.  
Hence distance travelled during this interval
  = Area between time interval 20 sec to 40 sec

   =area of triangle + area of rectangle , below the triangle
   = distance during interval= area under the triangle=12×20×3   +  20×1  = 30 + 20 = 50 m.
 

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