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A particle starting from the origin (0, 0) moves in the (x, y) plane. Its coordinates at a later time are (√3, 3). The path of the particle makes with the x-axis an angle of

1. 45°
2. 60°
3. 0°
4. 30°

Correct answer: 60°

Solution

The angle θ made with the x-axis is given by tan(θ) = y/x. Substituting the coordinates (√3, 3), tan(θ) = 3/√3 = √3, which corresponds to θ = 60°.

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