Plain physics can be a bit wonky and frustrating. The card drawing is a core mechanic that makes your team stronger or weaker in an instant.
Clicking starts the action, you begin to move and tapping and dragging are the main controls for fast moves.
The controls involve tapping and dragging, but they are tricky at times. The game does not explain much so you have to learn the quirks as you go.
Most quick tip, practicing the card drawing is more important then the fast moves. The physics are frustrating at first but you can manage it.
Q: What are the controls? A: Clicking, tapping and dragging are the controls.
Q: What is the objective? A: Make your team stronger or weaker in an instant.
Q: What stated feature is there? A: Not stated.
Q: What is the main mechanic? A: Card drawing.