Two player game, so we need to use some keys for player 1 and some other keys for player 2.
Move check_input() into update_world() since we need to use it for both players.
Update check_input() to handle keys for both players.
Use WASD for player 1 and arrow keys for player 2.
Players can only move up and down, so we never need to update velocity_x.
Since players can only move up and down, we also remap left/right to up/down.
Player 2 doesn't move yet.