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A river is flowing from west to east with a speed of 5m/min. A man can swim in still water with a velocity 10m/min. In which direction, should the man swim so as to take the shortest possible path to go the south? A)30^ east of south B)60^ east of south C)60^ west of south D)30^ east of north. Correct answer is option 'A'. Can you explain this answer.?
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A river is flowing from west to east with a speed of 5m/min. A man can...
To determine the direction in which the man should swim to take the shortest possible path to go south, we need to consider the velocity of the river and the velocity of the man in still water.
Let's assume that the man swims at an angle θ with respect to the south direction.
The man's velocity can be resolved into two components: one component along the south direction and the other component perpendicular to the south direction.
Let's consider the component of the man's velocity along the south direction. This component is given by:
V_man_south = V_man * cos(θ)
The component of the river's velocity perpendicular to the south direction will act against the man's motion. This component is given by:
V_river_perpendicular = V_river * sin(90° - θ) = V_river * cos(θ)
Since the man wants to take the shortest possible path to go south, the component of the man's velocity along the south direction should be equal to the component of the river's velocity perpendicular to the south direction:
V_man_south = V_river_perpendicular
V_man * cos(θ) = V_river * cos(θ)
Simplifying the equation:
V_man = V_river
10 m/min = 5 m/min
Since the man's velocity in still water is equal to the velocity of the river, the man should swim directly opposite to the direction of the river's flow to cancel out its effect.
This means the man should swim in the direction 180° (south) + 30° (opposite to the flow of the river) = 210° east of south.
Thus, the correct answer is option A) 30° east of south.
Let's assume that the man swims at an angle θ with respect to the south direction.
The man's velocity can be resolved into two components: one component along the south direction and the other component perpendicular to the south direction.
Let's consider the component of the man's velocity along the south direction. This component is given by:
V_man_south = V_man * cos(θ)
The component of the river's velocity perpendicular to the south direction will act against the man's motion. This component is given by:
V_river_perpendicular = V_river * sin(90° - θ) = V_river * cos(θ)
Since the man wants to take the shortest possible path to go south, the component of the man's velocity along the south direction should be equal to the component of the river's velocity perpendicular to the south direction:
V_man_south = V_river_perpendicular
V_man * cos(θ) = V_river * cos(θ)
Simplifying the equation:
V_man = V_river
10 m/min = 5 m/min
Since the man's velocity in still water is equal to the velocity of the river, the man should swim directly opposite to the direction of the river's flow to cancel out its effect.
This means the man should swim in the direction 180° (south) + 30° (opposite to the flow of the river) = 210° east of south.
Thus, the correct answer is option A) 30° east of south.
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A river is flowing from west to east with a speed of 5m/min. A man can...
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A river is flowing from west to east with a speed of 5m/min. A man can swim in still water with a velocity 10m/min. In which direction, should the man swim so as to take the shortest possible path to go the south? A)30^ east of south B)60^ east of south C)60^ west of south D)30^ east of north. Correct answer is option 'A'. Can you explain this answer.?
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A river is flowing from west to east with a speed of 5m/min. A man can swim in still water with a velocity 10m/min. In which direction, should the man swim so as to take the shortest possible path to go the south? A)30^ east of south B)60^ east of south C)60^ west of south D)30^ east of north. Correct answer is option 'A'. Can you explain this answer.? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A river is flowing from west to east with a speed of 5m/min. A man can swim in still water with a velocity 10m/min. In which direction, should the man swim so as to take the shortest possible path to go the south? A)30^ east of south B)60^ east of south C)60^ west of south D)30^ east of north. Correct answer is option 'A'. Can you explain this answer.? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A river is flowing from west to east with a speed of 5m/min. A man can swim in still water with a velocity 10m/min. In which direction, should the man swim so as to take the shortest possible path to go the south? A)30^ east of south B)60^ east of south C)60^ west of south D)30^ east of north. Correct answer is option 'A'. Can you explain this answer.?.
A river is flowing from west to east with a speed of 5m/min. A man can swim in still water with a velocity 10m/min. In which direction, should the man swim so as to take the shortest possible path to go the south? A)30^ east of south B)60^ east of south C)60^ west of south D)30^ east of north. Correct answer is option 'A'. Can you explain this answer.? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A river is flowing from west to east with a speed of 5m/min. A man can swim in still water with a velocity 10m/min. In which direction, should the man swim so as to take the shortest possible path to go the south? A)30^ east of south B)60^ east of south C)60^ west of south D)30^ east of north. Correct answer is option 'A'. Can you explain this answer.? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A river is flowing from west to east with a speed of 5m/min. A man can swim in still water with a velocity 10m/min. In which direction, should the man swim so as to take the shortest possible path to go the south? A)30^ east of south B)60^ east of south C)60^ west of south D)30^ east of north. Correct answer is option 'A'. Can you explain this answer.?.
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A river is flowing from west to east with a speed of 5m/min. A man can swim in still water with a velocity 10m/min. In which direction, should the man swim so as to take the shortest possible path to go the south? A)30^ east of south B)60^ east of south C)60^ west of south D)30^ east of north. Correct answer is option 'A'. Can you explain this answer.?, a detailed solution for A river is flowing from west to east with a speed of 5m/min. A man can swim in still water with a velocity 10m/min. In which direction, should the man swim so as to take the shortest possible path to go the south? A)30^ east of south B)60^ east of south C)60^ west of south D)30^ east of north. Correct answer is option 'A'. Can you explain this answer.? has been provided alongside types of A river is flowing from west to east with a speed of 5m/min. A man can swim in still water with a velocity 10m/min. In which direction, should the man swim so as to take the shortest possible path to go the south? A)30^ east of south B)60^ east of south C)60^ west of south D)30^ east of north. Correct answer is option 'A'. Can you explain this answer.? theory, EduRev gives you an
ample number of questions to practice A river is flowing from west to east with a speed of 5m/min. A man can swim in still water with a velocity 10m/min. In which direction, should the man swim so as to take the shortest possible path to go the south? A)30^ east of south B)60^ east of south C)60^ west of south D)30^ east of north. Correct answer is option 'A'. Can you explain this answer.? tests, examples and also practice NEET tests.
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