At $t = 0$,a positively charged particle of mass $m$ is projected from the origin with velocity $u_0$ at an angle $37^o$ from the $x$-axis as shown in the figure. $A$ constant magnetic field $\vec{B_0} = B_0 \hat{j}$ is present in space. After a time interval $t_0$,the velocity of the particle may be:

• A
  $u_0 \left[ \frac{\sqrt{39}}{2} \hat{i} + \frac{3}{5} \hat{j} - \frac{\hat{k}}{\sqrt{3}} \right]$
• B
  $u_0 \left[ \frac{\hat{i}}{\sqrt{3}} + \frac{\hat{j}}{\sqrt{2}} + \frac{\hat{k}}{\sqrt{6}} \right]$
• C
  $u_0 \left[ \frac{\sqrt{39}}{10} \hat{i} + \frac{3}{5} \hat{j} + \frac{1}{4} \hat{k} \right]$
• D
  $u_0 \left[ \frac{\sqrt{39}}{10} \hat{i} + \frac{3}{5} \hat{j} + \frac{1}{2} \hat{k} \right]$