A $5\mathrm{.}00$ kg puck moving at $2\mathrm{.}00\frac{m}{s}$ collides with an identical puck that is stationary on frictionless ice. After the collision, the first puck leaves with a speed $v_1$ at $30\mathrm{.}0$ above the original line of motion. The second puck leaves with speed $v_2$ at $60\mathrm{.}0$ below the original line of motion. Find the final speed of the second puck, $v_2.$

a$.0\mathrm{.}866\frac{m}{s}$

b$.1\mathrm{.}00\frac{m}{s}$

c$.0\mathrm{.}500\frac{m}{s}$

d$.1\mathrm{.}73\frac{m}{s}$

e$.2\mathrm{.}00\frac{m}{s}$