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Instantaneous Axis of Rotation

Two swimmers ...

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Two swimmers leave. A on one bank of the river to reach point B line right across the other back one of the two causes the river along the straight line AB while the other streams at right angle to the stream and then what's the distance that he has been carried away by the street to get to point B. What is the velocity of his walking if both swimmers reached the destination simultaneously? ( The stream velocity = 2 km/h and the velocity of each swimmer w.r.t still water is 2.5 km/h)

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Q. Two swimmers leave point

A

on one bank of the river to reach point

B

lying right across on the other bank. One of them crosses the river along the straight line

A B

while the other swims at right angles to the stream and then walks the distance that he has been carried away by the stream to get to point

B

. What was the velocity

u

in km/hr of his walking if both swimmers reached the destination simultaneously?The stream velocity

v_{0} = 2.0 k m / h

v^{'}

of each swimmer with respect to water equals

2.5 k m / h

Q. Two swimmers start from point

P

on one bank of the river to reach

Q

on the opposite bank. Velocity of each swimmer in still waters is

2.5 k m h^{- 1}

. One of the swimmers crosses the river along the straight route

P Q

and the other swims right angles to the stream and then walks the distance which he has been carried away by the river to get to point

Q

. Stream velocity is

2 k m h^{- 1}

. If both the swimmers reach point

Q

simultaneously, the velocity of walking of second swimmer is

Q. A swimmer can swim with velocity of

12 km/h

in still water. Water flowing in a river has velocity

6 km/h

. The direction with respect to the direction of flow of river water he should swim in order to reach the point on the other bank just opposite to his starting point is

^{\circ}

. (Round off to the Nearest Integer) (Find the angle in degree)

Q. Consider a river

500 m

wide. Speed of river water is

5 k m / h r

. Swimmers speed in still water is

3 k m / h r

. If swimmer wants to reach a point directly opposite the point from where he started to swim, find minimum distance he has to walk.

Q. A swimmer swims in still water at a speed

= 5 k m / h

200 m

wide river, having river flow speed

= 4 k m / h r

at point A and proceeds to swim at an angle of

127^{o}

with the river flow direction. Another point B is located directly across A on the other side. The swimmer lands on the other bank at a point C, from which he walks the distance CB with a speed

= 3 k m / h r

. The total time in which he reaches from A to B is

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