$9.$ A box is sliding on a horizontal tabletop. In the first run, the box is moving at $0\mathrm{.}5$ m$/$s as it passes a mark on the table. The box eventually comes to rest $10$cm after the mark on the table. In the second run the same box, on the same table, is given a push such that it is sliding at $1$m$/$s as it passes the mark. $($In both experiments, nobody is pushing on the box anytime after it has passed the mark on the table.$)$ How far will the box slide in this second run before coming to rest?