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Wind is blowing from the south at 5 ms^(...

Wind is blowing from the south at 5 `ms^(-1)` . To a cyclist it appears to be blowing from the east at 5 `ms^(-1)` . Show that the velocity of the cyclist is `ms^(-1)` towards north-east .

Text Solution

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Direction of wind to North 5 m / s .
Apparent direction is from East to West 5 m/s.
This is relative velocity.
To find velocity of cyclist reverse the direction of resultant vector OB and find resultant
`:. ` Velocity of cyclist = `sqrt(5^(2) + 5^(2) + 0) = 5sqrt(2) m //s`
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