Final answer:
The best procedure to investigate the transfer of kinetic energy using ice in a sample of water is to observe the melting of the ice cube in the hot water.
Step-by-step explanation:
To investigate the transfer of kinetic energy using ice in a sample of water, the best procedure would be to observe the melting of the ice cube in the hot water. As the ice cube melts, the water molecules in the ice transfer their kinetic energy to the hot water molecules. By measuring the rate at which the ice melts or the change in temperature of the hot water, you can determine the amount of kinetic energy transferred.