Wind is blowing from the south at 10ms−1 but to a cyclist it appears to be blowing from the east at 10ms−1. The cyclist has avelocity
A
10^i−10^j
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B
10^i+10^j
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C
−10^i+10^j
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D
−10^i−10^j
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Solution
The correct option is B10^i+10^j Velocity of wind is 10ms−1 from south to north i.e →vwind=10^j
But to the cyclist it appears to blow from the East at 10ms−1. So, velocity of wind relative to the cyclist is 10ms−1 from the east to west. i.e →vwind/cyclist=−10^i
since →vwind/cyclist=→vwind−→vcyclist ⇒−10^i=10^j−→vcyclist ⇒→vcyclist=10^i+10^j
Hence, the correct answer is (B).