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Grade 11General Physics

The speed of a man is 4m/s,the speed of river is 2m/s.Find the angle between the man and river so that he travel in a straight line perpendicular to the river.

Seerat

7 Years agoGrade 11

1 Answer

Piyush Kumar Behera

7 Years ago

Let us understand how should man travel so that it reaches straight.

If man tends to move to left of the river then there is a possibility that the river drags back to the same vertical position and makes him to reach at the other side of the bank.

So V_relative must have a left horizontal component whose magnitude must be equal to the river velocity so that there is no net displacement along the river.

So V_horizontal= 2m/s

Total velocity = 4m/s

vertical component=

$\sqrt{4^{2}-2^{2}}} = 2\sqrt{3}$ m/s

So angle b/w man and river is $90+tan^{-1}{\frac{1}{\sqrt{3}}}$ = 120 degrees

So the answer is 120 degree.

I hope it helps!!

Piyush Kumar Behera

IIT Dhanbad

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