Plyometric Push Ups, or jumping push ups, are a great way to scale up the push up movement within the same range of motion by increasing speed and adding explosive power.
Plyometric Push Up Progression Part 2:
How to do a plyo-push up:
In this video, Coach Carl introduces the use of the bow and kip to the jumping push ups. Carl demonstrates how bowing and snapping the hips can help add more explosiveness to your jumping push ups to lift the feet off the ground, as well as the hands. To scale in a progression, Carl starts by choosing to maintain one point of contact, which is the feet, and performs the jumping push ups with a kip; then Carl chooses to maintain the hand as the point of contact and jumps the feet up with the jumping push up. Finally, Carl jumps both the hands and feet off the air with one explosive kip.
Also check out Plyometric Push Up Part 1.