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The velocit-time graph of a body moving ...

The velocit-time graph of a body moving in a straight line is shown in Fig. 2 (d) . 32. Find the displacement and the distance travelled by the body in ` 6 seconds`.
.

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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