Physics - Kinematics Question with Solution | TestHub

A particle is moving in the $\mathrm{X}-\mathrm{Y}$ plane. At $\mathrm{t}=0$ it is located at the origin $\mathrm{O}(0,0)$ and has the velocity ${\overrightarrow{\mathrm{v}}}_0=\mathrm{a}(\sqrt{3}\hat{\mathrm{i}}+\hat{\mathrm{j}})$ where a is a positive constant and $\hat{\mathrm{i}},\hat{\mathrm{j}}$ are unit vectors in the positive x and positive y directions. Its acceleration is constant and given by $\overrightarrow{\mathrm{a}}=-(\hat{\mathrm{i}}+\hat{\mathrm{j}})$. In its subsequent motion $(\mathrm{t}>0)$ it will cross the x-axis at the instant of time given by