Vector addition diagrams for Practice A (10 km North, 5 km West) and Practice B (30 km West, 40 km South), calculating resultant vectors.

Two diagrams showing vector addition for Practice A and Practice B, with labeled distances and angles.

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- For Practice A:
- The resultant displacement R is calculated using the Pythagorean theorem: R = √(10² + 5²) = √125 ≈ 11.18 km.
- The angle θ is found using tan⁻¹(opposite/adjacent) = tan⁻¹(5/10) = tan⁻¹(0.5) ≈ 26.57° west of north.

- For Practice B:
- The resultant displacement R is calculated using the Pythagorean theorem: R = √(30² + 40²) = √2500 = 50 km.
- The angle θ is found using tan⁻¹(opposite/adjacent) = tan⁻¹(40/30) = tan⁻¹(4/3) ≈ 53.13° south of west.

Parent Tip: Review the logic above to help your child master the concept of physics vector worksheet.

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