To calculate the speed of a baseball with a mass of 145g and kinetic energy of 122 J, the kinetic energy formula, KE = 0.5 * m * v^2, is used. Rearranging the formula to solve for speed (v) involves isolating v, which results in v = sqrt(2 * KE / m). Substituting the values, the mass must be converted to kilograms, leading to the calculation of speed. The discussion highlights confusion among participants on how to apply the formula effectively. Understanding the relationship between mass, kinetic energy, and speed is crucial for solving the problem.