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A particle has a speed of 6 ms$^{-1}$ in a direction relative to unit vectors i and j as shown in the diagram below - AQA - A-Level Maths Mechanics - Question 12 - 2021 - Paper 2

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Question 12

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A particle has a speed of 6 ms$^{-1}$ in a direction relative to unit vectors i and j as shown in the diagram below. The velocity of this particle can be expressed ... show full transcript

Worked Solution & Example Answer:A particle has a speed of 6 ms$^{-1}$ in a direction relative to unit vectors i and j as shown in the diagram below - AQA - A-Level Maths Mechanics - Question 12 - 2021 - Paper 2

Step 1

Find the correct expression for $v_2$

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Answer

To find the expression for v2v_2, we can use trigonometric functions based on the angle provided in the diagram. The particle's speed can be resolved into vertical and horizontal components using:

  • v1=6cos30v_1 = 6 \cos 30^{\circ}
  • v2=6sin30v_2 = 6 \sin 30^{\circ}

Thus, the correct answer for v2v_2 is:

v2=6sin30v_2 = 6 \sin 30^{\circ}

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