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Motion in A Plane question

2024 · 27 Jan · Shift 1 · Q81
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Motion in A Plane question

2024 · 27 Jan · Shift 1 · Q81

JEE MainPhysicsMotion in A PlaneNumerical+4 / −1
A particle starts from origin at t=0t=0t=0 with a velocity 5i^ m/s5 \hat{i} \mathrm{~m} / \mathrm{s}5i^ m/s and moves in x−yx-yx−y plane under action of a force which produces a constant acceleration of (3i^+2j^)m/s2(3 \hat{i}+2 \hat{j}) \mathrm{m} / \mathrm{s}^2(3i^+2j^​)m/s2. If the xxx-coordinate of the particle at that instant is 84 m84 \mathrm{~m}84 m, then the speed of the particle at this time is α m/s\sqrt{\alpha} \mathrm{~m} / \mathrm{s}α​ m/s. The value of α\alphaα is ‾\underline{\hspace{2cm}}​.
Numerical answer
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