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1. A person moves a distance of 3 Km towards east, then 2 Km towards north and then 3.5 Km towards east. Find: a) the distance covered by the person, b) the displacement of this motion.?
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1. A person moves a distance of 3 Km towards east, then 2 Km towards n...
Problem: A person moves a distance of 3 Km towards east, then 2 Km towards north and then 3.5 Km towards east. Find: a) the distance covered by the person, b) the displacement of this motion.
Solution:
To solve this problem, we need to understand the difference between distance and displacement. Distance is the total length covered by the person while displacement is the straight-line distance between the initial and final position.
Given:
- Distance towards east = 3 Km
- Distance towards north = 2 Km
- Distance towards east = 3.5 Km
Step 1: Calculate the total distance covered by the person.
- Distance towards east = 3 Km
- Distance towards north = 2 Km
- Distance towards east = 3.5 Km
Total distance = 3 + 2 + 3.5 = 8.5 Km
Therefore, the person covered a total distance of 8.5 Km.
Step 2: Calculate the displacement of the person.
To calculate the displacement, we need to find the straight-line distance between the initial and final position.
- Initial position = Starting point
- Final position = (3 + 3.5) Km towards east and 2 Km towards north.
Using Pythagoras theorem, we can calculate the displacement as follows:
Displacement = √((3.5 - 3)² + 2²) = √(0.5² + 4) = √(0.25 + 4) = √4.25 ≈ 2.06 Km
Therefore, the person's displacement is approximately 2.06 Km towards northeast.
Conclusion:
- The person covered a total distance of 8.5 Km.
- The person's displacement is approximately 2.06 Km towards northeast.
Solution:
To solve this problem, we need to understand the difference between distance and displacement. Distance is the total length covered by the person while displacement is the straight-line distance between the initial and final position.
Given:
- Distance towards east = 3 Km
- Distance towards north = 2 Km
- Distance towards east = 3.5 Km
Step 1: Calculate the total distance covered by the person.
- Distance towards east = 3 Km
- Distance towards north = 2 Km
- Distance towards east = 3.5 Km
Total distance = 3 + 2 + 3.5 = 8.5 Km
Therefore, the person covered a total distance of 8.5 Km.
Step 2: Calculate the displacement of the person.
To calculate the displacement, we need to find the straight-line distance between the initial and final position.
- Initial position = Starting point
- Final position = (3 + 3.5) Km towards east and 2 Km towards north.
Using Pythagoras theorem, we can calculate the displacement as follows:
Displacement = √((3.5 - 3)² + 2²) = √(0.5² + 4) = √(0.25 + 4) = √4.25 ≈ 2.06 Km
Therefore, the person's displacement is approximately 2.06 Km towards northeast.
Conclusion:
- The person covered a total distance of 8.5 Km.
- The person's displacement is approximately 2.06 Km towards northeast.
Community Answer
1. A person moves a distance of 3 Km towards east, then 2 Km towards n...
Lets say initial position of person is a final position of person is b (i) displacement is the shortest distance between a and b displacement = √(3+3.5)2+22 =6.8 km (ii) distance is the path travelled by the person =3+2+3.5 = 8.5km
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1. A person moves a distance of 3 Km towards east, then 2 Km towards north and then 3.5 Km towards east. Find: a) the distance covered by the person, b) the displacement of this motion.?
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1. A person moves a distance of 3 Km towards east, then 2 Km towards north and then 3.5 Km towards east. Find: a) the distance covered by the person, b) the displacement of this motion.? 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 1. A person moves a distance of 3 Km towards east, then 2 Km towards north and then 3.5 Km towards east. Find: a) the distance covered by the person, b) the displacement of this motion.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 1. A person moves a distance of 3 Km towards east, then 2 Km towards north and then 3.5 Km towards east. Find: a) the distance covered by the person, b) the displacement of this motion.?.
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