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Q.

The wind is blowing from south at 20 ms−1, but to a cyclist it appears blowing from the east at 20 ms−1 . The velocity of cyclist is.

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a

202 ms−1 towards S−W

b

202 ms−1 towards N−W

c

202 ms−1 towards S−E

d

202 ms−1 towards N−E

answer is D.

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Detailed Solution

V¯w=20j V¯wc=−20i V¯wc=V¯w−V¯c ⇒Vc=V¯w−V¯wc =20j+20i |V¯c|=400+400 202 ms−1 towards N−E
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The wind is blowing from south at 20 ms−1, but to a cyclist it appears blowing from the east at 20 ms−1 . The velocity of cyclist is.