To calculate the speed of an object as it exits a half-circle ramp, the formula v² = v₀² + 2aΔx is not appropriate, as it pertains to linear acceleration. Instead, the conservation of energy principle should be applied, which involves the relationship between potential energy and kinetic energy. The relevant equation includes terms like 1/2 mv² and mgh, indicating the conversion of potential energy at the top of the ramp to kinetic energy at the exit. Understanding this concept is crucial for solving the problem accurately. Utilizing conservation of energy will provide the correct final velocity of the object.