God has made this Jesus, whom you crucified, both Lord and Messiah

Acts 2:22-36
Fellow Israelites, listen to this: Jesus of Nazareth was a man accredited by God to you by miracles, wonders and signs, which God did among you through him, as you yourselves know. This man was handed over to you by God’s deliberate plan and foreknowledge; and you, with the help of wicked men, put him to death by nailing him to the cross. But God raised him from the dead, freeing him from the agony of death, because it was impossible for death to keep its hold on him.
David said about him.
God has raised this Jesus to life, and we are all witnesses of it.  Exalted to the right hand of God, he has received from the Father. For David did not ascend to heaven, and yet he said,‘The Lord said to my Lord:   “Sit at my right hand until I make your enemies  a footstool for your feet.”
Therefore let all Israel be assured of this: God has made this Jesus, whom you crucified, both Lord and Messiah.
They have killed Jesus by allowing him to be crucified. God has raised him to life. 
Why?
Jesus is the son of God so he make miracles, wonders and signs.
Jesus be haded over to people by God's deliberate plan and foreknowledge. It is beyond we can imaged. 
Jesus is raised from the dead freeing from the agony of death. So we have hope could be raised like Jesus on the day he return.
Peter used the word of David to prove that Jesus is mentioned by David and Jesus is the Messiah.
Peter explained how and why Jesus be crucified and be raised from the dead.
How?
I believe Jesus is raised from the dead and Jesus is son of God. He will come again to save all who trust in Him.