Class 11 Exam > Class 11 Questions > ?Hey, I couldn't find the answer to this ques...
Start Learning for Free
Hey, I couldn't find the answer to this question "A boy moves 4 m south and 5 m in direction 37•N O E.find resultant displacement?" , Please help out by answering this question on EduRev. https://edurev.page.link/eMf1tf6czg7RiTDp8?
Most Upvoted Answer
?Hey, I couldn't find the answer to this question "A boy moves 4 m sou...
Calculation of Resultant Displacement
To find the resultant displacement, we need to use vector addition. We are given two vectors, one moving 4 m south and the other moving 5 m in the direction of 37° north of east.
Vector Addition
To add vectors, we need to break them down into their x and y components. We can do this using trigonometry.
For the first vector moving 4 m south, the y component is -4 m (since south is in the negative y direction) and the x component is 0 m (since there is no movement in the x direction).
For the second vector moving 5 m in the direction of 37° north of east, we can find the x and y components using trigonometry. The angle between the vector and the x-axis is 37°, so the x component is 5 cos 37° = 3.98 m (rounded to two decimal places). The y component is 5 sin 37° = 3.00 m (rounded to two decimal places).
Now we can add the x and y components of the two vectors to find the resultant displacement.
Resultant Displacement
To find the resultant displacement, we can use the Pythagorean theorem. The Pythagorean theorem states that the square of the hypotenuse (the longest side) of a right triangle is equal to the sum of the squares of the other two sides.
In this case, the x component is 3.98 m and the y component is -1.00 m (since the first vector moved 4 m south). Therefore, the hypotenuse (or resultant displacement) is:
sqrt((3.98)^2 + (-4)^2) = 5.14 m (rounded to two decimal places)
Therefore, the resultant displacement is 5.14 m.
To find the resultant displacement, we need to use vector addition. We are given two vectors, one moving 4 m south and the other moving 5 m in the direction of 37° north of east.
Vector Addition
To add vectors, we need to break them down into their x and y components. We can do this using trigonometry.
For the first vector moving 4 m south, the y component is -4 m (since south is in the negative y direction) and the x component is 0 m (since there is no movement in the x direction).
For the second vector moving 5 m in the direction of 37° north of east, we can find the x and y components using trigonometry. The angle between the vector and the x-axis is 37°, so the x component is 5 cos 37° = 3.98 m (rounded to two decimal places). The y component is 5 sin 37° = 3.00 m (rounded to two decimal places).
Now we can add the x and y components of the two vectors to find the resultant displacement.
Resultant Displacement
To find the resultant displacement, we can use the Pythagorean theorem. The Pythagorean theorem states that the square of the hypotenuse (the longest side) of a right triangle is equal to the sum of the squares of the other two sides.
In this case, the x component is 3.98 m and the y component is -1.00 m (since the first vector moved 4 m south). Therefore, the hypotenuse (or resultant displacement) is:
sqrt((3.98)^2 + (-4)^2) = 5.14 m (rounded to two decimal places)
Therefore, the resultant displacement is 5.14 m.
Community Answer
?Hey, I couldn't find the answer to this question "A boy moves 4 m sou...
Hey the link is not working kindly tell this question is of which section ,course and topic.
Attention Class 11 Students!
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.
|
Explore Courses for Class 11 exam
|
|
Similar Class 11 Doubts
Top Courses for Class 11View all
?Hey, I couldn't find the answer to this question "A boy moves 4 m south and 5 m in direction 37•N O E.find resultant displacement?" , Please help out by answering this question on EduRev. https://edurev.page.link/eMf1tf6czg7RiTDp8?
Question Description
?Hey, I couldn't find the answer to this question "A boy moves 4 m south and 5 m in direction 37•N O E.find resultant displacement?" , Please help out by answering this question on EduRev. https://edurev.page.link/eMf1tf6czg7RiTDp8? 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 ?Hey, I couldn't find the answer to this question "A boy moves 4 m south and 5 m in direction 37•N O E.find resultant displacement?" , Please help out by answering this question on EduRev. https://edurev.page.link/eMf1tf6czg7RiTDp8? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ?Hey, I couldn't find the answer to this question "A boy moves 4 m south and 5 m in direction 37•N O E.find resultant displacement?" , Please help out by answering this question on EduRev. https://edurev.page.link/eMf1tf6czg7RiTDp8?.
?Hey, I couldn't find the answer to this question "A boy moves 4 m south and 5 m in direction 37•N O E.find resultant displacement?" , Please help out by answering this question on EduRev. https://edurev.page.link/eMf1tf6czg7RiTDp8? 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 ?Hey, I couldn't find the answer to this question "A boy moves 4 m south and 5 m in direction 37•N O E.find resultant displacement?" , Please help out by answering this question on EduRev. https://edurev.page.link/eMf1tf6czg7RiTDp8? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ?Hey, I couldn't find the answer to this question "A boy moves 4 m south and 5 m in direction 37•N O E.find resultant displacement?" , Please help out by answering this question on EduRev. https://edurev.page.link/eMf1tf6czg7RiTDp8?.
Solutions for ?Hey, I couldn't find the answer to this question "A boy moves 4 m south and 5 m in direction 37•N O E.find resultant displacement?" , Please help out by answering this question on EduRev. https://edurev.page.link/eMf1tf6czg7RiTDp8? in English & in Hindi are available as part of our courses for Class 11.
Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of ?Hey, I couldn't find the answer to this question "A boy moves 4 m south and 5 m in direction 37•N O E.find resultant displacement?" , Please help out by answering this question on EduRev. https://edurev.page.link/eMf1tf6czg7RiTDp8? defined & explained in the simplest way possible. Besides giving the explanation of
?Hey, I couldn't find the answer to this question "A boy moves 4 m south and 5 m in direction 37•N O E.find resultant displacement?" , Please help out by answering this question on EduRev. https://edurev.page.link/eMf1tf6czg7RiTDp8?, a detailed solution for ?Hey, I couldn't find the answer to this question "A boy moves 4 m south and 5 m in direction 37•N O E.find resultant displacement?" , Please help out by answering this question on EduRev. https://edurev.page.link/eMf1tf6czg7RiTDp8? has been provided alongside types of ?Hey, I couldn't find the answer to this question "A boy moves 4 m south and 5 m in direction 37•N O E.find resultant displacement?" , Please help out by answering this question on EduRev. https://edurev.page.link/eMf1tf6czg7RiTDp8? theory, EduRev gives you an
ample number of questions to practice ?Hey, I couldn't find the answer to this question "A boy moves 4 m south and 5 m in direction 37•N O E.find resultant displacement?" , Please help out by answering this question on EduRev. https://edurev.page.link/eMf1tf6czg7RiTDp8? tests, examples and also practice Class 11 tests.
|
|
Explore Courses for Class 11 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup