Laws Of Motion

An object with mass \(5 \mathrm{~kg}\) is acted upon by a force, \(\mathbf{F}=(-3 \hat{\mathbf{i}}-4 \hat{\mathbf{j}}) \mathrm{N}\). If its initial velocity at \(t=0\) is \(\mathbf{v}=(3 \hat{\mathbf{i}}+12 \hat{\mathbf{j}}) \mathrm{m} / \mathrm{s}\), the time at which it will just have a velocity along \(y\)-axis is -