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A man travels a distance of 1.5m towards east 2m towards south and finally 4.5m towards east. What is the total distance travelled? What is the displacement?
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A man travels a distance of 1.5m towards east 2m towards south and fin...
Calculating Total Distance and Displacement:
1. Calculating Total Distance Travelled:
To find the total distance travelled, we need to sum up all the individual distances travelled in each direction. In this case, the man travelled 1.5m towards east, 2m towards south, and finally 4.5m towards east.
Total distance travelled = 1.5m + 2m + 4.5m = 8m
2. Calculating Displacement:
Displacement is the straight-line distance between the initial and final points of an object's motion. To find the displacement, we need to calculate the net distance travelled in each direction.
Net distance travelled towards east = 1.5m + 4.5m = 6m (east)
Net distance travelled towards south = 2m (south)
Now, we can use the Pythagorean theorem to find the displacement:
Displacement = √(6m)^2 + (2m)^2
Displacement = √36m^2 + 4m^2
Displacement = √40m^2
Displacement ≈ 6.32m
Therefore, the total distance travelled by the man is 8m, and the displacement is approximately 6.32m in the northeast direction. The displacement represents the shortest distance between the initial and final positions, regardless of the actual path taken.
1. Calculating Total Distance Travelled:
To find the total distance travelled, we need to sum up all the individual distances travelled in each direction. In this case, the man travelled 1.5m towards east, 2m towards south, and finally 4.5m towards east.
Total distance travelled = 1.5m + 2m + 4.5m = 8m
2. Calculating Displacement:
Displacement is the straight-line distance between the initial and final points of an object's motion. To find the displacement, we need to calculate the net distance travelled in each direction.
Net distance travelled towards east = 1.5m + 4.5m = 6m (east)
Net distance travelled towards south = 2m (south)
Now, we can use the Pythagorean theorem to find the displacement:
Displacement = √(6m)^2 + (2m)^2
Displacement = √36m^2 + 4m^2
Displacement = √40m^2
Displacement ≈ 6.32m
Therefore, the total distance travelled by the man is 8m, and the displacement is approximately 6.32m in the northeast direction. The displacement represents the shortest distance between the initial and final positions, regardless of the actual path taken.
Community Answer
A man travels a distance of 1.5m towards east 2m towards south and fin...
Displacement :√40=2√10m distance :8m
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A man travels a distance of 1.5m towards east 2m towards south and finally 4.5m towards east. What is the total distance travelled? What is the displacement?
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A man travels a distance of 1.5m towards east 2m towards south and finally 4.5m towards east. What is the total distance travelled? What is the 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 travels a distance of 1.5m towards east 2m towards south and finally 4.5m towards east. What is the total distance travelled? What is the displacement? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man travels a distance of 1.5m towards east 2m towards south and finally 4.5m towards east. What is the total distance travelled? What is the displacement?.
A man travels a distance of 1.5m towards east 2m towards south and finally 4.5m towards east. What is the total distance travelled? What is the 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 travels a distance of 1.5m towards east 2m towards south and finally 4.5m towards east. What is the total distance travelled? What is the displacement? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man travels a distance of 1.5m towards east 2m towards south and finally 4.5m towards east. What is the total distance travelled? What is the displacement?.
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