Jesus has a dual nature, he is fully man and fully divine. Jesus is the Word who became the flesh. He was sent here to save humanity. His divinity was not lost when he took on a human form. The addition of his human form to his divinity is called the hypostatic union. He will always be fully God and totally human, two separate natures in one being. Though he has two separate and distinct natures, he is one person with one personality.
Kenosis means emptying of self, which is what Jesus did in his incarnation. The term kenosis comes from the Greek word for the doctrine of Christ’s self-emptying in His incarnation. Philippians 2:7 and Isaiah detail the making of God, a servant in human form. Jesus did not cease being divine as evidenced by his many miracles, healings and resurrection. Similar to the discussion on the Trinity, it is difficult to understand how one could be both man and God, however that is what the Word became God with a human shell. Nonetheless, Jesus covered his divine and glorious nature in a human form and restricted certain attributes.
The hypostatic union describes the union of Jesus’ two natures. It was completely intertwined, inseparable and consistent. The hypostatic union does not make logical sense. There is no way that a human and divine nature can co-exist. God is omniscient, no man is. God is all knowing, Jesus was not as was indicated by Mark 13:32, where he indicates that not even the angels in heaven, nor the Son, but only the Father know about the day or hour of His return.
Impeccability deals with the question of whether Jesus could have sinned. Peccability is the belief that He could have sinned. Col 1:19 states that For God was pleased to have all his fullness dwell in him. This means that Jesus was in fact God. God cannot sin. Therefore Jesus cannot sin. Jesus could be tempted just Satan tempted him, however, Jesus cannot sin.