Question

The wind is blowing from south at 10 ms!
but to a cyclist it appears blowing from the
east at 10 ms. The velocity of cyclist is
1) 10/2 ms-1 towards S-W
2) 1012. ms towards N - W
3) 10/2 ms-1 towards S-E
4) 10/2 ms- towards N-E

I know the answer is option -4)
I NEED EXPLANATION !!!
HELP!!​

Answer 1

Diagram and explanation both

Plzz mark it brainliest

Answer 2

$\mathtt{\huge{\underline{\red{Question\:?}}}}$

✴ The wind is blowing from south at 10 m/s but to a cyclist it appears blowing from the east at 10 ms. The velocity of cyclist is :-

1) 10/2 ms-1 towards S-W

2) 1012. ms towards N - W

3) 10/2 ms-1 towards S-E

4) 10/2 ms- towards N-E

$\mathtt{\huge{\underline{\green{Answer:-}}}}$

✏ Option 4.) 10/2 ms- towards N-E

$\mathtt{\huge{\underline{\blue{Solution:-}}}}$

Given :-

• The wind is blowing from south at 10 m/s but to a cyclist it appears blowing from the east at 10 ms.

To find :-

• The velocity of cyclist.

Solution :-

According to the question,

If a wind is blowing relatively with the to the cyclist with v of 10 m/s from east

Also, wind is blowing relative to ground with velocity 10 m/s from south ,

• Vwind = 10j m/s

• -Vwc = 10 i m/s

Vwc = Vw - Vc

=> Vc = 10i + 10 j

Hence, |Vc| = 10√2 m/s N-E direction.

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