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A man moves 12 steps towards north and 5 steps towards east.He returns back to his initial position along the shortest path.Calculate the distance and displacement
Most Upvoted Answer
A man moves 12 steps towards north and 5 steps towards east.He returns...
Lets suppose the initial position of Man be point A then he moved 12steps towards north and then he took right turn towards east and took 5 steps And Finally came back to its Initial Position .
So simply Displacement = 0 as it only depends on initial and final position ...
Now Distance = Total path travelled
=12+5+√12²+5²
=12+5+13
=30 steps
So simply Displacement = 0 as it only depends on initial and final position ...
Now Distance = Total path travelled
=12+5+√12²+5²
=12+5+13
=30 steps
Community Answer
A man moves 12 steps towards north and 5 steps towards east.He returns...
Distance and Displacement Calculation
• To calculate the distance traveled by the man, we can use the Pythagorean theorem as he moved 12 steps north and 5 steps east. This forms a right-angled triangle with sides of 12 and 5 steps.
• Using the Pythagorean theorem (a^2 + b^2 = c^2), we get:
Distance = √(12^2 + 5^2)
= √(144 + 25)
= √169
= 13 steps
• Therefore, the man traveled a total distance of 13 steps.
Explanation of Displacement
• Displacement is a vector quantity that represents the shortest distance between the initial and final positions of an object.
• In this case, the man returns to his initial position after moving 12 steps north and 5 steps east.
• The displacement can be calculated using the distance and direction traveled. As he returns to his initial position, the displacement is zero as the initial and final positions coincide.
• Displacement is a more useful measure than distance when considering only the initial and final positions of an object.
• In summary, while the man traveled a total distance of 13 steps, his displacement is zero as he returned back to his initial position along the shortest path.
• To calculate the distance traveled by the man, we can use the Pythagorean theorem as he moved 12 steps north and 5 steps east. This forms a right-angled triangle with sides of 12 and 5 steps.
• Using the Pythagorean theorem (a^2 + b^2 = c^2), we get:
Distance = √(12^2 + 5^2)
= √(144 + 25)
= √169
= 13 steps
• Therefore, the man traveled a total distance of 13 steps.
Explanation of Displacement
• Displacement is a vector quantity that represents the shortest distance between the initial and final positions of an object.
• In this case, the man returns to his initial position after moving 12 steps north and 5 steps east.
• The displacement can be calculated using the distance and direction traveled. As he returns to his initial position, the displacement is zero as the initial and final positions coincide.
• Displacement is a more useful measure than distance when considering only the initial and final positions of an object.
• In summary, while the man traveled a total distance of 13 steps, his displacement is zero as he returned back to his initial position along the shortest path.
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A man moves 12 steps towards north and 5 steps towards east.He returns back to his initial position along the shortest path.Calculate the distance and displacement
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A man moves 12 steps towards north and 5 steps towards east.He returns back to his initial position along the shortest path.Calculate the distance and displacement for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A man moves 12 steps towards north and 5 steps towards east.He returns back to his initial position along the shortest path.Calculate the distance and displacement covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man moves 12 steps towards north and 5 steps towards east.He returns back to his initial position along the shortest path.Calculate the distance and displacement.
A man moves 12 steps towards north and 5 steps towards east.He returns back to his initial position along the shortest path.Calculate the distance and displacement for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A man moves 12 steps towards north and 5 steps towards east.He returns back to his initial position along the shortest path.Calculate the distance and displacement covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man moves 12 steps towards north and 5 steps towards east.He returns back to his initial position along the shortest path.Calculate the distance and displacement.
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