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Motion In Straight Line

Question

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A river is flowing from west to east with a speed of 5 m/min. A man can swim in still water with a velocity 10 m/min. In which direction should the man swim so, as to take the shortest possible path to go to the south?

30^o east of south

60^o east of south

60^o west of south

30^o west of north

Solution

A.

30^o east of south

Let the swimmer swims at an angle θ with the vertical.

$\sin θ = \frac{ν_{r}}{ν_{s}} = \frac{5}{10} = \frac{1}{2} = \sin 30^{o} θ = 30^{o}$

The swimmer should swim 30^o east of south to take the shortest possible path to go to the south.

Some More Questions From Motion in Straight Line Chapter

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Is absolute rest or absolute motion possible?

What is the most essential thing to study the motion of a body?

Can a body be always at rest in some frame?

Can a body be in motion in the frame associated with the body itself?

When an object in motion can be considered as particle or point object?

Can you think of physical phenomena involving the moon in which moon cannot be treated as particle?

A train is crossing the bridge. Can it be taken as a particle?

Can a train be taken a particle? Give an example in support of your answer.

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