Thermal energy will transfer from object a to object b if:

a. the motions of the molecules in object b are faster than those of object a.

b. the temperature of object a is higher than that of object b.

c. the average kinetic energy of the molecules in object a is lower than object b.

d. object b is hotter than object a.
i think it's b? .

B. The temperature of object A is higher than that of object B.      

Explanation:

Thermal energy always transfers from hotter object to colder one. Temperature indicates the hotness and coldness of a body. In a hotter body, molecules move faster and thus, their average kinetic energy would be greater.

If thermal energy will transfer from object A to object B, then the temperature of object A would be higher than that of object B. Also, its molecules would move faster and would have greater average kinetic energy.