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A car moves 100m east and then 25 m due west. a. What is the distance covered by car ? b. What is its displacement ?
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A car moves 100m east and then 25 m due west. a. What is the distance ...
Distance and Displacement Calculation:
a. Distance Covered:
- Distance covered by the car is the total length of the path it traveled.
- The car moved 100m east and then 25m west.
- Total distance covered = 100m + 25m = 125m.
b. Displacement:
- Displacement is the shortest distance between the initial and final positions of the car.
- Displacement can be calculated using the Pythagorean theorem.
- Let's assume east direction as positive and west direction as negative.
- Displacement = √((100m)^2 + (-25m)^2)
- Displacement = √(10000m^2 + 625m^2)
- Displacement = √10625m^2
- Displacement ≈ 103.06m.
Explanation:
- Distance covered is the total length of the path traveled, irrespective of direction.
- Displacement is the shortest distance between initial and final positions, considering direction.
- In this case, the car moved east and then west which cancels out some of the distance.
- Hence, the displacement is less than the total distance covered.
- Displacement gives a better understanding of the overall motion of the car.
a. Distance Covered:
- Distance covered by the car is the total length of the path it traveled.
- The car moved 100m east and then 25m west.
- Total distance covered = 100m + 25m = 125m.
b. Displacement:
- Displacement is the shortest distance between the initial and final positions of the car.
- Displacement can be calculated using the Pythagorean theorem.
- Let's assume east direction as positive and west direction as negative.
- Displacement = √((100m)^2 + (-25m)^2)
- Displacement = √(10000m^2 + 625m^2)
- Displacement = √10625m^2
- Displacement ≈ 103.06m.
Explanation:
- Distance covered is the total length of the path traveled, irrespective of direction.
- Displacement is the shortest distance between initial and final positions, considering direction.
- In this case, the car moved east and then west which cancels out some of the distance.
- Hence, the displacement is less than the total distance covered.
- Displacement gives a better understanding of the overall motion of the car.
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A car moves 100m east and then 25 m due west. a. What is the distance covered by car ? b. What is its displacement ?
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A car moves 100m east and then 25 m due west. a. What is the distance covered by car ? b. What is its displacement ? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A car moves 100m east and then 25 m due west. a. What is the distance covered by car ? b. What is its displacement ? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A car moves 100m east and then 25 m due west. a. What is the distance covered by car ? b. What is its displacement ?.
A car moves 100m east and then 25 m due west. a. What is the distance covered by car ? b. What is its displacement ? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A car moves 100m east and then 25 m due west. a. What is the distance covered by car ? b. What is its displacement ? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A car moves 100m east and then 25 m due west. a. What is the distance covered by car ? b. What is its displacement ?.
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