What type of energy is increased when the temperature of a system increases?

When the temperature of a system increases, the kinetic energy of the particles within that system also increases. Kinetic energy is associated with the motion of particles; as the temperature rises, the particles move more rapidly, resulting in higher kinetic energy. This increase in motion is a direct indication of the energy change within the system due to temperature rise.

In contrast, potential energy relates to the position or arrangement of particles and does not primarily change with temperature. Nuclear energy pertains to the energy stored in atomic nuclei and is not influenced by changes in temperature in a typical sense, while chemical energy is related to the energy stored in chemical bonds. While chemical reactions can be influenced by temperature, in the context of this question, it is the kinetic energy of the particles that is directly affected by temperature changes, making it the correct response.