STANDARD Physics Motion in Two Dimensions MCQ Question
A particle starts from origin at t = 0 with a velocity 5i ms⁻¹ and moves in x-y plane under the action of a force which produces a constant acceleration of 3i + 2j ms⁻². The y-coordinate of the particle at the instant when its x-coordinate is 84 m is
12 m
24 m
36 m
48 m
Correct Answer
Detailed Explanation
The position of the particle is given by r = r₀ + v₀t + ½at². Here, r₀ = 0, v₀ = 5i ms⁻¹, a = (3i + 2j) ms⁻². Solving for x = 84 m, we find t = 6 s. At t = 6 s, y = 36 m.
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