The problem involves a metal ball launched at a 30-degree angle from a height of 1 meter with an initial speed of 7.66 m/s, requiring the calculation of horizontal distance traveled. To solve this, one must apply kinematic equations for both vertical and horizontal motion, using the vertical component of the initial speed (7.66 * sin30) and accounting for gravitational acceleration (9.8 m/s²). The vertical motion equation will yield a quadratic equation to find the time of flight, from which the horizontal displacement can be calculated using the horizontal speed (7.66 * cos30) multiplied by the time. Participants are encouraged to break down the problem into its components and sketch it for better understanding. Engaging with textbooks or resources on projectile motion is recommended for further clarity.