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A boy walks uniformly along the sides of a rectangular Park of size 400 m×300 m starting from one corner to the other corner diagonally opposite. Which of the following statement is correct? (a) He has travelled a distance of 700 m (b) his displacement is 700 m(c) his displacement is 500 m (d) His velocity is not uniform throughout the workCorrect option is (b). Can you plz explain the answer?
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A boy walks uniformly along the sides of a rectangular Park of size 40...
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A boy walks uniformly along the sides of a rectangular Park of size 40...
Explanation:
To understand why option (b) is correct, let's break down the problem and analyze the concepts of distance, displacement, and velocity.
Distance vs Displacement:
Distance is a scalar quantity that represents the length of the path traveled by an object. It only considers the magnitude and does not consider the direction. Displacement, on the other hand, is a vector quantity that represents the change in position of an object from its initial position to its final position. Displacement considers both magnitude and direction.
Given information:
The boy walks uniformly along the sides of a rectangular park from one corner to the opposite corner diagonally. The size of the park is 400 m × 300 m.
Calculating the distance:
To calculate the distance traveled by the boy, we can add up the lengths of all the sides of the rectangular park. The total distance will be the perimeter of the rectangle.
Perimeter = 2(Length + Width)
Perimeter = 2(400 m + 300 m)
Perimeter = 2(700 m)
Perimeter = 1400 m
Therefore, the boy has traveled a distance of 1400 m.
Calculating the displacement:
To calculate the displacement, we need to determine the change in position of the boy. Since the boy walks diagonally from one corner to the opposite corner, the displacement will be equal to the length of the diagonal.
Using the Pythagorean theorem, we can calculate the length of the diagonal (displacement).
Diagonal^2 = Length^2 + Width^2
Diagonal^2 = 400 m^2 + 300 m^2
Diagonal^2 = 160000 m^2 + 90000 m^2
Diagonal^2 = 250000 m^2
Diagonal = √250000 m
Diagonal = 500 m
Therefore, the displacement of the boy is 500 m.
Understanding the correct option:
The correct option is (b) because displacement is a vector quantity that considers both magnitude and direction. In this case, the displacement is 500 m from the starting point to the ending point diagonally opposite, which is the change in position of the boy.
The other options are incorrect:
(a) The boy has traveled a distance of 1400 m, not 700 m.
(c) The displacement is 500 m, not 700 m.
(d) The information given in the question does not provide any indication of the boy's velocity. Therefore, we cannot make any conclusions about his velocity based on the given information.
In conclusion, the boy has traveled a distance of 1400 m, but his displacement is 500 m from the starting point to the ending point diagonally opposite.
To understand why option (b) is correct, let's break down the problem and analyze the concepts of distance, displacement, and velocity.
Distance vs Displacement:
Distance is a scalar quantity that represents the length of the path traveled by an object. It only considers the magnitude and does not consider the direction. Displacement, on the other hand, is a vector quantity that represents the change in position of an object from its initial position to its final position. Displacement considers both magnitude and direction.
Given information:
The boy walks uniformly along the sides of a rectangular park from one corner to the opposite corner diagonally. The size of the park is 400 m × 300 m.
Calculating the distance:
To calculate the distance traveled by the boy, we can add up the lengths of all the sides of the rectangular park. The total distance will be the perimeter of the rectangle.
Perimeter = 2(Length + Width)
Perimeter = 2(400 m + 300 m)
Perimeter = 2(700 m)
Perimeter = 1400 m
Therefore, the boy has traveled a distance of 1400 m.
Calculating the displacement:
To calculate the displacement, we need to determine the change in position of the boy. Since the boy walks diagonally from one corner to the opposite corner, the displacement will be equal to the length of the diagonal.
Using the Pythagorean theorem, we can calculate the length of the diagonal (displacement).
Diagonal^2 = Length^2 + Width^2
Diagonal^2 = 400 m^2 + 300 m^2
Diagonal^2 = 160000 m^2 + 90000 m^2
Diagonal^2 = 250000 m^2
Diagonal = √250000 m
Diagonal = 500 m
Therefore, the displacement of the boy is 500 m.
Understanding the correct option:
The correct option is (b) because displacement is a vector quantity that considers both magnitude and direction. In this case, the displacement is 500 m from the starting point to the ending point diagonally opposite, which is the change in position of the boy.
The other options are incorrect:
(a) The boy has traveled a distance of 1400 m, not 700 m.
(c) The displacement is 500 m, not 700 m.
(d) The information given in the question does not provide any indication of the boy's velocity. Therefore, we cannot make any conclusions about his velocity based on the given information.
In conclusion, the boy has traveled a distance of 1400 m, but his displacement is 500 m from the starting point to the ending point diagonally opposite.
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A boy walks uniformly along the sides of a rectangular Park of size 400 m×300 m starting from one corner to the other corner diagonally opposite. Which of the following statement is correct? (a) He has travelled a distance of 700 m (b) his displacement is 700 m(c) his displacement is 500 m (d) His velocity is not uniform throughout the workCorrect option is (b). Can you plz explain the answer?
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A boy walks uniformly along the sides of a rectangular Park of size 400 m×300 m starting from one corner to the other corner diagonally opposite. Which of the following statement is correct? (a) He has travelled a distance of 700 m (b) his displacement is 700 m(c) his displacement is 500 m (d) His velocity is not uniform throughout the workCorrect option is (b). Can you plz explain the answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A boy walks uniformly along the sides of a rectangular Park of size 400 m×300 m starting from one corner to the other corner diagonally opposite. Which of the following statement is correct? (a) He has travelled a distance of 700 m (b) his displacement is 700 m(c) his displacement is 500 m (d) His velocity is not uniform throughout the workCorrect option is (b). Can you plz explain the answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A boy walks uniformly along the sides of a rectangular Park of size 400 m×300 m starting from one corner to the other corner diagonally opposite. Which of the following statement is correct? (a) He has travelled a distance of 700 m (b) his displacement is 700 m(c) his displacement is 500 m (d) His velocity is not uniform throughout the workCorrect option is (b). Can you plz explain the answer?.
A boy walks uniformly along the sides of a rectangular Park of size 400 m×300 m starting from one corner to the other corner diagonally opposite. Which of the following statement is correct? (a) He has travelled a distance of 700 m (b) his displacement is 700 m(c) his displacement is 500 m (d) His velocity is not uniform throughout the workCorrect option is (b). Can you plz explain the answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A boy walks uniformly along the sides of a rectangular Park of size 400 m×300 m starting from one corner to the other corner diagonally opposite. Which of the following statement is correct? (a) He has travelled a distance of 700 m (b) his displacement is 700 m(c) his displacement is 500 m (d) His velocity is not uniform throughout the workCorrect option is (b). Can you plz explain the answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A boy walks uniformly along the sides of a rectangular Park of size 400 m×300 m starting from one corner to the other corner diagonally opposite. Which of the following statement is correct? (a) He has travelled a distance of 700 m (b) his displacement is 700 m(c) his displacement is 500 m (d) His velocity is not uniform throughout the workCorrect option is (b). Can you plz explain the answer?.
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