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A person aiming to reach the exactly opposite point on the bank of a stream is swimming with a speed of 0.5 m/s at an angle of 120° with the direction of flow of water. The speed of water in the stream is
- a)1 m/s
- b)0.5 m/s
- c)0.25 m/s
- d)0.433 m/s
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A person aiming to reach the exactly opposite point on the bank of a s...
Here Vr is the velocity of the river W.R.T ground , Vm is the velocity of man W.R.T ground , Vm is the velocity of man W.R.T river, V is the velocity of man W.R.T ground
tan 90=Vm sin120/ Vr+Vm cos120
Vr= -Vm cos120= -(0.5)(-0.5)= 0.25 m/s
Most Upvoted Answer
A person aiming to reach the exactly opposite point on the bank of a s...
To reach the exactly opposite point on the bank of the stream, the person needs to swim directly across the stream. Since the person is swimming at an angle of 120 degrees, it means they are swimming at an angle of 60 degrees with respect to the opposite bank.
We can use trigonometry to find the horizontal and vertical components of the person's velocity.
Given:
Speed of swimming (v) = 0.5 m/s
Angle with respect to the opposite bank (θ) = 60 degrees
Horizontal component of velocity (Vx) = v * cos(θ)
Vertical component of velocity (Vy) = v * sin(θ)
Calculating:
Vx = 0.5 * cos(60)
Vx = 0.5 * 0.5
Vx = 0.25 m/s
Vy = 0.5 * sin(60)
Vy = 0.5 * √3/2
Vy = 0.25√3 m/s
Therefore, the person is swimming with a horizontal velocity of 0.25 m/s and a vertical velocity of 0.25√3 m/s to reach the exactly opposite point on the bank of the stream.
We can use trigonometry to find the horizontal and vertical components of the person's velocity.
Given:
Speed of swimming (v) = 0.5 m/s
Angle with respect to the opposite bank (θ) = 60 degrees
Horizontal component of velocity (Vx) = v * cos(θ)
Vertical component of velocity (Vy) = v * sin(θ)
Calculating:
Vx = 0.5 * cos(60)
Vx = 0.5 * 0.5
Vx = 0.25 m/s
Vy = 0.5 * sin(60)
Vy = 0.5 * √3/2
Vy = 0.25√3 m/s
Therefore, the person is swimming with a horizontal velocity of 0.25 m/s and a vertical velocity of 0.25√3 m/s to reach the exactly opposite point on the bank of the stream.
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A person aiming to reach the exactly opposite point on the bank of a stream is swimming with a speed of 0.5 m/s at an angle of 120° with the direction of flow of water. The speed of water in the stream isa)1 m/sb)0.5 m/sc)0.25 m/sd)0.433 m/sCorrect answer is option 'C'. Can you explain this answer?
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A person aiming to reach the exactly opposite point on the bank of a stream is swimming with a speed of 0.5 m/s at an angle of 120° with the direction of flow of water. The speed of water in the stream isa)1 m/sb)0.5 m/sc)0.25 m/sd)0.433 m/sCorrect answer is option 'C'. Can you explain this answer? for Class 5 2024 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about A person aiming to reach the exactly opposite point on the bank of a stream is swimming with a speed of 0.5 m/s at an angle of 120° with the direction of flow of water. The speed of water in the stream isa)1 m/sb)0.5 m/sc)0.25 m/sd)0.433 m/sCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A person aiming to reach the exactly opposite point on the bank of a stream is swimming with a speed of 0.5 m/s at an angle of 120° with the direction of flow of water. The speed of water in the stream isa)1 m/sb)0.5 m/sc)0.25 m/sd)0.433 m/sCorrect answer is option 'C'. Can you explain this answer?.
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