Question

wind blowing at the speed of 5 to 8 km per hour​

Answer 1

Answer:

JetStream Max: Beaufort Wind Force Scale

The velocity of wind relative to man = Actual of wind − Actual of man ...(1)

Let i and j represent unit vectors along East and North.

Let the actual velocity of wind be given by  xi+yj.

In the 1st case the man's velocity is 8i and that of the wind relative to man being from north is −pj.  

∴−pj=(xi+yj)−8i by (1)

Comparing coefficients x−8=0,y=−p ...(2)

In the 2nd case when the man doubles his speed, it seems to come from N-E.  

−q(i+j)=(xi+yj)−16i

∴x−16=−q,y=−q...(3)

Putting x=8, we get q=8  

∴y=−8  

Hence the velocity of wind is xi+yj=8(i−j)

Its magnitude is  

(8  

2

+8  

2

)

​  

=8  

2

​  

 and tanθ=−1∴θ=−45  

∘

,

Hence its direction is from N-W.

Explanation:

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Answer 2

Answer:

3 km

8-5

5×8

40 min

40-3

37