In checkers, a king can move any number of squares diagonally forward or backward, as long as the path is unobstructed. This gives the king greater mobility compared to a regular piece, which can only move forward diagonally. Additionally, a king can jump over an opponent's piece to capture it, similar to regular pieces, but it can do so in both directions.
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he can move only one square per turn, but he can go backward
Yes
A king can jump as far as needed to legally capture pieces.
yes
In the game of checkers, a kinged pawn may be moved like a normal pawn, but can move in any direction, forwards or backwards, side to side, as long as the move is diagonal. ----InfoMac