Answer
The velocity of the baseball is equal to 42.5 $m/s$
Work Step by Step
** 450g = $450 \frac{1}{10^3}kg = 0.450$ $kg$
** J = $\frac{kg*m^2}{s^2}$
Thus, we find:
$E_k = \frac{1}{2}mv^2$
$406J = \frac{1}{2}(0.450kg)v^2$
$406J = (0.225kg)v^2$
$\frac{406 \frac{kg*m^2}{s^2}}{0.225kg} = v^2$
$\sqrt{\frac{406 \frac{kg*m^2}{s^2}}{0.225kg}} = v$
$v = 42.5 \frac{m}{s}$