Consider a horizontal surface moving vertically upward with velocity $2 \mathrm{m} {\mathrm{s}}^{-1}$. A small ball of mass $2 \mathrm{kg}$ is moving with velocity $\left(2\hat{\mathrm{i}}–2\hat{\mathrm{j}}\right) \mathrm{m} {\mathrm{s}}^{-1}$ If the coefficient of restitution and coefficient of friction are $\frac{1}{2}$ and $\frac{1}{3}$ respectively, find the horizontal velocity (in $\mathrm{m} {\mathrm{s}}^{-1}$) of the ball after the collision.

Hence, the correct answer is 0.