Question

how kinetic energy of a moleculesis realated to temperature

Answer 1

The kinetic energy of molecules is directly proportional to temperature.
As temperature increases the kinetic energy of molecules increases.
⇒  K.E α T

Answer 2

In ideal gas model, temperature is the measure of average kinetic energy of the gas molecules. If by some means the gas particles are accelerated to a very high speed in one direction, KE certainly increased, can we say the gas becomes hotter? Do we need to distinguish the random vibration KE and KE in one direction?

Furthermore, if we accelerate a block of metal with ultrasonic vibrator so that the metal is vibrating in very high speed with cyclic motion, can we say the metal is hot when it is moving but suddenly become much cooler when the vibration stop.

Hope this will help you .