To calculate the total distance traveled with an initial velocity of 3.0 m/s, an acceleration of 5.612 m/s² over 8 seconds, the relevant equation is d = vt + 0.5at². This formula incorporates initial velocity, time, and acceleration to determine distance. Users expressed a desire for a comprehensive list of physics formulas for memorization. The discussion emphasizes the importance of understanding fundamental equations in physics. Mastering these concepts is essential for solving similar problems effectively.