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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.

Text Solution

Verified by Experts

The can be easily done using trinngle method of vector addition , in fig figuer show
` bar(AB)` = Displacement along east
` bar(BC)` = displacement long south
Then resultant displacement is given by the third side of ` triangleABC`
` bar(AC) = bar(AB) + bar(BC)`
` |bar(AC)| = sqrt(AB^(2) + BC^(2))`
= ` sqrt(16+9)`
= 5 cm
Let ` bar(AC)` make angle ` theta` with each direction
Then ` tan theta = 3/4`
` theta = tan^(-1) (3/4) = 36.86 ^(@)`
Thus, the boy is actually displaced by 5 m at an angle ` 36.86^(@)` south of east .
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