In a scenario where car A has a greater mass than car B but both have the same momentum, the relationship between their kinetic energies can be analyzed using the equations for momentum (p = mv) and kinetic energy (KE = 1/2 mv²). Since momentum is constant, the kinetic energy of each car can be derived from their respective masses and velocities. Car A, being heavier, will have a lower velocity compared to car B to maintain equal momentum, resulting in a lower kinetic energy for car A. Conversely, car B, with a smaller mass, will have a higher velocity, leading to a higher kinetic energy. Therefore, car B will possess greater kinetic energy than car A despite both having the same momentum.