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From his house Sanjay went 15 kms to the North, Then he turned West and covered 10 kms. Then, he turned South and covered 5 kms. Finally, turning to East, he covered 10 kms. In which direction is he from his house?
- a)East
- b)West
- c)North
- d)South
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
From his house Sanjay went 15 kms to the North, Then he turned West a...
The movements of Sanjay are as shown in Fig.
View all questions of this test
(A to B, B to C, C to D and D to E)
Clearly, his final position is E which is to the North of his house at A..
Most Upvoted Answer
From his house Sanjay went 15 kms to the North, Then he turned West a...
Problem Analysis:
In the given problem, we are given the directions and distances covered by Sanjay. We need to determine the direction in which Sanjay is from his house.
Given:
Distance covered by Sanjay from his house:
- 15 km towards North
- 10 km towards West
- 5 km towards South
- 10 km towards East
Solution:
We can determine the direction of Sanjay from his house by using the concept of net displacement. Net displacement is the vector sum of all the individual displacements. We can represent the individual displacements as vectors.
To calculate the net displacement of Sanjay, we need to add the individual displacements vectorially. We can do this by taking the East direction as positive and North, West and South directions as negative.
The vector representing Sanjay's movement towards North can be represented as:
-15 km (in the negative y-direction)
The vector representing Sanjay's movement towards West can be represented as:
-10 km (in the negative x-direction)
The vector representing Sanjay's movement towards South can be represented as:
+5 km (in the positive y-direction)
The vector representing Sanjay's movement towards East can be represented as:
+10 km (in the positive x-direction)
Net displacement vector can be calculated as,
Net displacement = (-15 km) i + (-10 km) j + (5 km) i + (10 km) j
= (-15 + 5) i + (-10 + 10) j
= -10 i
The net displacement vector has only an x-component and that too negative. This means that Sanjay is 10 km away from his house in the West direction.
Therefore, Sanjay is in the West direction from his house.
Answer: Option (b) West.
In the given problem, we are given the directions and distances covered by Sanjay. We need to determine the direction in which Sanjay is from his house.
Given:
Distance covered by Sanjay from his house:
- 15 km towards North
- 10 km towards West
- 5 km towards South
- 10 km towards East
Solution:
We can determine the direction of Sanjay from his house by using the concept of net displacement. Net displacement is the vector sum of all the individual displacements. We can represent the individual displacements as vectors.
To calculate the net displacement of Sanjay, we need to add the individual displacements vectorially. We can do this by taking the East direction as positive and North, West and South directions as negative.
The vector representing Sanjay's movement towards North can be represented as:
-15 km (in the negative y-direction)
The vector representing Sanjay's movement towards West can be represented as:
-10 km (in the negative x-direction)
The vector representing Sanjay's movement towards South can be represented as:
+5 km (in the positive y-direction)
The vector representing Sanjay's movement towards East can be represented as:
+10 km (in the positive x-direction)
Net displacement vector can be calculated as,
Net displacement = (-15 km) i + (-10 km) j + (5 km) i + (10 km) j
= (-15 + 5) i + (-10 + 10) j
= -10 i
The net displacement vector has only an x-component and that too negative. This means that Sanjay is 10 km away from his house in the West direction.
Therefore, Sanjay is in the West direction from his house.
Answer: Option (b) West.
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From his house Sanjay went 15 kms to the North, Then he turned West and covered 10 kms. Then, he turned South and covered 5 kms. Finally, turning to East, he covered 10 kms. In which direction is he from his house?a)Eastb)Westc)Northd)SouthCorrect answer is option 'C'. Can you explain this answer?
Question Description
From his house Sanjay went 15 kms to the North, Then he turned West and covered 10 kms. Then, he turned South and covered 5 kms. Finally, turning to East, he covered 10 kms. In which direction is he from his house?a)Eastb)Westc)Northd)SouthCorrect answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about From his house Sanjay went 15 kms to the North, Then he turned West and covered 10 kms. Then, he turned South and covered 5 kms. Finally, turning to East, he covered 10 kms. In which direction is he from his house?a)Eastb)Westc)Northd)SouthCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for From his house Sanjay went 15 kms to the North, Then he turned West and covered 10 kms. Then, he turned South and covered 5 kms. Finally, turning to East, he covered 10 kms. In which direction is he from his house?a)Eastb)Westc)Northd)SouthCorrect answer is option 'C'. Can you explain this answer?.
From his house Sanjay went 15 kms to the North, Then he turned West and covered 10 kms. Then, he turned South and covered 5 kms. Finally, turning to East, he covered 10 kms. In which direction is he from his house?a)Eastb)Westc)Northd)SouthCorrect answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about From his house Sanjay went 15 kms to the North, Then he turned West and covered 10 kms. Then, he turned South and covered 5 kms. Finally, turning to East, he covered 10 kms. In which direction is he from his house?a)Eastb)Westc)Northd)SouthCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for From his house Sanjay went 15 kms to the North, Then he turned West and covered 10 kms. Then, he turned South and covered 5 kms. Finally, turning to East, he covered 10 kms. In which direction is he from his house?a)Eastb)Westc)Northd)SouthCorrect answer is option 'C'. Can you explain this answer?.
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From his house Sanjay went 15 kms to the North, Then he turned West and covered 10 kms. Then, he turned South and covered 5 kms. Finally, turning to East, he covered 10 kms. In which direction is he from his house?a)Eastb)Westc)Northd)SouthCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for From his house Sanjay went 15 kms to the North, Then he turned West and covered 10 kms. Then, he turned South and covered 5 kms. Finally, turning to East, he covered 10 kms. In which direction is he from his house?a)Eastb)Westc)Northd)SouthCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of From his house Sanjay went 15 kms to the North, Then he turned West and covered 10 kms. Then, he turned South and covered 5 kms. Finally, turning to East, he covered 10 kms. In which direction is he from his house?a)Eastb)Westc)Northd)SouthCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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