A uniform rod of mass $1.0\ \text{kg}$ and length $1.0\ \text{m}$ lies at rest on a smooth horizontal table. A sharp blow with an impulse of $2.0\ \text{N s}$ is given to one end, along the table and at right angles to the rod, as shown in the figure (a view from above). What is the velocity of the other end of the rod just after the blow?

Fig. 1: Top view of a uniform rod of length 1.0 m and mass 1.0 kg on a smooth table. An impulse J = 2.0 N s acts at its top end, to the right and at right angles to the rod.