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The velocity the graph of a moving in a ...

The velocity the graph of a moving in a straight line is shown in the figure. The displacement and distance travelled by the body in 6 are respectively

A

8m,16m

B

16m,8m

C

16m,16m

D

8m,8m

Text Solution

Verified by Experts

The correct Answer is:
A
Displacement `=`Summation of all the area with sign
`=(A_1)+(-A_2)+(A_3)=(2xx4)+(-2xx2)+(2xx2)`
Displacement `=8`m
Distance`=`summation of all the areas without sign
`=|A_1|+|-A_2|+|A_3|=|8|+|-4|+|4|=8+4+4`
Distance `=16` m
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