jee-main 2026 Q7

jee-main · India · session1_21jan_shift1 Variable acceleration (1D) Find displacement/position by integrating velocity
$\vec{\mathrm{F}} = 4\mathrm{t}^{3}\hat{\mathrm{i}} - 3\mathrm{t}^{2}\hat{\mathrm{j}}, \mathrm{m} = 4\mathrm{~kg}$ at $\mathrm{t} = 0$ particle is at rest and at origin then find velocity and position at $\mathbf{t} = \mathbf{2}\mathbf{~sec}$.
$\vec{\mathrm{F}} = 4\mathrm{t}^{3}\hat{\mathrm{i}} - 3\mathrm{t}^{2}\hat{\mathrm{j}}, \mathrm{m} = 4\mathrm{~kg}$ at $\mathrm{t} = 0$ particle is at rest and at origin then find velocity and position at $\mathbf{t} = \mathbf{2}\mathbf{~sec}$.