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Y travels 15 kilometers due South, then 5 kilometers due west, then 18 kilometers due north, then 3 kilometers due south, then 5 kilometers due East. How far is he from the starting point?
- a)6 kilometers
- b)3 kilometers
- c)0 kilometers
- d)9 kilometers
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Y travels 15 kilometers due South, then 5 kilometers due west, then 18...
It is because if the body come to the initial point there will be Total distance travel however the displacement remain 0.
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Community Answer
Y travels 15 kilometers due South, then 5 kilometers due west, then 18...
Given Information:
Y travels 15 kilometers due South, then 5 kilometers due west, then 18 kilometers due north, then 3 kilometers due south, then 5 kilometers due East.
Analysis:
To find the distance of Y from the starting point, we need to determine the net displacement of Y after all the different movements.
Calculations:
1. Movement due South: Y travels 15 kilometers due South.
2. Movement due West: Y travels 5 kilometers due West.
3. Movement due North: Y travels 18 kilometers due North.
4. Movement due South: Y travels 3 kilometers due South.
5. Movement due East: Y travels 5 kilometers due East.
Horizontal Displacement:
- Y travels 5 kilometers due West and 5 kilometers due East, which results in a net horizontal displacement of 0 kilometers.
Vertical Displacement:
- Y travels 15 kilometers due South, then 18 kilometers due North, and finally 3 kilometers due South. The net vertical displacement is obtained by subtracting the distance traveled due South from the sum of the distances traveled due South and North: (15 + 18) - 3 = 30 kilometers.
Resultant Displacement:
- The horizontal displacement is 0 kilometers, and the vertical displacement is 30 kilometers.
- The resultant displacement can be calculated using the Pythagorean theorem: √(horizontal displacement)^2 + (vertical displacement)^2 = √(0^2 + 30^2) = √900 = 30 kilometers.
Conclusion:
Y is 30 kilometers away from the starting point.
Therefore, the correct answer is option 'C' (0 kilometers).
Y travels 15 kilometers due South, then 5 kilometers due west, then 18 kilometers due north, then 3 kilometers due south, then 5 kilometers due East.
Analysis:
To find the distance of Y from the starting point, we need to determine the net displacement of Y after all the different movements.
Calculations:
1. Movement due South: Y travels 15 kilometers due South.
2. Movement due West: Y travels 5 kilometers due West.
3. Movement due North: Y travels 18 kilometers due North.
4. Movement due South: Y travels 3 kilometers due South.
5. Movement due East: Y travels 5 kilometers due East.
Horizontal Displacement:
- Y travels 5 kilometers due West and 5 kilometers due East, which results in a net horizontal displacement of 0 kilometers.
Vertical Displacement:
- Y travels 15 kilometers due South, then 18 kilometers due North, and finally 3 kilometers due South. The net vertical displacement is obtained by subtracting the distance traveled due South from the sum of the distances traveled due South and North: (15 + 18) - 3 = 30 kilometers.
Resultant Displacement:
- The horizontal displacement is 0 kilometers, and the vertical displacement is 30 kilometers.
- The resultant displacement can be calculated using the Pythagorean theorem: √(horizontal displacement)^2 + (vertical displacement)^2 = √(0^2 + 30^2) = √900 = 30 kilometers.
Conclusion:
Y is 30 kilometers away from the starting point.
Therefore, the correct answer is option 'C' (0 kilometers).
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Y travels 15 kilometers due South, then 5 kilometers due west, then 18 kilometers due north, then 3 kilometers due south, then 5 kilometers due East. How far is he from the starting point?a)6 kilometers b)3 kilometers c)0 kilometers d)9 kilometersCorrect answer is option 'C'. Can you explain this answer?
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