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4.1 Kinematics (A-level only)

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Question 5
37%

A particle P P\,P moves with a constant velocity (2i+5j) ms−1(2\mathbf{i} + 5\mathbf{j}) \text{ ms}^{-1}(2i+5j) ms−1 with respect to a fixed origin OOO. It passes through the point A A\,A whose position vector is (4i−4j) m(4\mathbf{i} - 4\mathbf{j}) \text{ m}(4i−4j) m at t=0t = 0t=0.

a.

Find the angle in degrees that the velocity vector of P P\,P makes with the vector i\mathbf{i}i.

[2]
b.

Calculate the distance of P P\,P from O O\,O when t=4t = 4t=4.

[4]

4.1 Kinematics (A-level only) Questions

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