Question:
A person aiming to reach exactly opposite point on the bank of a stream is swimming with a speed of 0.5 m/s at an angle of $ 120^\circ$ with the direction of flow of water. The speed of water in the stream, is
A person aiming to reach exactly opposite point on the bank of a stream is swimming with a speed of 0.5 m/s at an angle of $ 120^\circ$ with the direction of flow of water. The speed of water in the stream, is
Updated On: May 2, 2024
- 0.25 m / s
- 0.5 m/s
- 1.0 m/s
- 0.433 m/s
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The Correct Option is A
Solution and Explanation
The component of velocity of man in opposite direction of the flow is $0.5 \times$
$\operatorname{Cos}\left(180^{\circ}-120^{\circ}\right)=0.25 m / s$
so the velocity of flow(stream) will also be $0.25 m / s$ so that the person can oppose the stream and in result he will not be drifted by the stream and will reach directly opposite side.
$\operatorname{Cos}\left(180^{\circ}-120^{\circ}\right)=0.25 m / s$
so the velocity of flow(stream) will also be $0.25 m / s$ so that the person can oppose the stream and in result he will not be drifted by the stream and will reach directly opposite side.
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Concepts Used:
Motion in a Plane
It is a vector quantity. A vector quantity is a quantity having both magnitude and direction. Speed is a scalar quantity and it is a quantity having a magnitude only. Motion in a plane is also known as motion in two dimensions.
Equations of Plane Motion
The equations of motion in a straight line are:
v=u+at
s=ut+½ at2
v2-u2=2as
Where,
- v = final velocity of the particle
- u = initial velocity of the particle
- s = displacement of the particle
- a = acceleration of the particle
- t = the time interval in which the particle is in consideration