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
Question 12
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 v2, 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: