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A boy moves 4 m south and 5 m in direction 37•N O E.find resultant displacement?
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A boy moves 4 m south and 5 m in direction 37•N O E.find resultant dis...
Calculation of Resultant Displacement
- Start by drawing a diagram of the boy's movements. Draw an arrow pointing south to represent the 4 m southward movement, and another arrow pointing in the direction 37° N O E to represent the 5 m movement in that direction.
- Using the pythagorean theorem, calculate the magnitude of the resultant displacement by squaring each of the individual vectors, adding them together, and taking the square root of the sum.
- Square of the southward movement: 4^2 = 16
- Square of the 37° N O E movement: 5^2 = 25
- Sum of squares: 16 + 25 = 41
- Square root of sum: sqrt(41) = 6.4
- The magnitude of the resultant displacement is 6.4 m.
- Determine the direction of the resultant displacement using trigonometry.
- First, find the angle that the resultant vector makes with the southward vector. This angle can be found using the inverse tangent function: tan^-1(5/4) = 51.3°.
- Next, add this angle to the angle of the southward vector (180°) to find the angle that the resultant vector makes with due north: 51.3° + 180° = 231.3°.
- Finally, subtract this angle from 360° to find the angle that the resultant vector makes with due east: 360° - 231.3° = 128.7°.
- The direction of the resultant displacement is 6.4 m at an angle of 128.7° east of due north.
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A boy moves 4 m south and 5 m in direction 37•N O E.find resultant dis...
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A boy moves 4 m south and 5 m in direction 37•N O E.find resultant displacement?
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A boy moves 4 m south and 5 m in direction 37•N O E.find resultant displacement? 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 moves 4 m south and 5 m in direction 37•N O E.find resultant displacement? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A boy moves 4 m south and 5 m in direction 37•N O E.find resultant displacement?.
A boy moves 4 m south and 5 m in direction 37•N O E.find resultant displacement? 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 moves 4 m south and 5 m in direction 37•N O E.find resultant displacement? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A boy moves 4 m south and 5 m in direction 37•N O E.find resultant displacement?.
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