Velocity and acceleration of a particle at some instant of time are $\mathbf{v}=(3\hat{\mathbf{i}}+4\hat{\mathbf{j}}){\mathrm{ms}}^{-1}$ and $\mathbf{a}=-(6\hat{\mathbf{i}}+8\hat{\mathbf{j}}){\mathrm{ms}}^{-2}$ , respectively. At the same instant particle is at origin, maximum x-coordinate of particle will be

• A

  1.5 m

• B

  0.75 m

• C

  2.25 m

• D

  4 m