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Aboy Walks 4m east and then 3m south .Fi...

Aboy Walks 4m east and then 3m south .Find the displacement of the boy.

A

7

B

1

C

5

D

12

Text Solution

Verified by Experts

The correct Answer is:
C
This can be easily done using triangle method of vector addition .In the figure shown
AB= displacement along east
BC=displacement along south

then result disacement is given by the third side of `DeltaABC`
AC=AC+BC
`|AC|=sqrt(AB^(2)+BC^(2))=sqrt(16+9)=5m `
Let AC make angle `Delta` with east direction .
then `tantheta=(3)/(4)implies theta=tan ^(-1)((3)/(4))`
thus , the boy is actually displaceed by 5m at an angle `tan^(-1)((3)/(4))` south of east .
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