Projectile Motion (Problem 45)

In 2007, Michael Carter (U.S.) set a world record in the shot put with a throw of 24.77 m. What was the initial speed of the shot if he released it at a height of 2.10 m and threw it at an angle of $38.0º$ above the horizontal? (Although the maximum distance for a projectile on level ground is achieved at $\text{45°}$ when air resistance is neglected, the actual angle to achieve maximum range is smaller; thus, $\text{38°}$ will give a longer range than $\text{45°}$ in the shot put.)