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A competitive mini-golf player notices an opponent's ball situated 50cm in front of a wall containing two tunnels. One tunnel leads to the hole, the other to a bunker. The player skill fully putts their ball due East at the opponent's ball with a velocity of 4m/s.

The opponent's ball is knocked 20° to the South of East with a velocity of 1.7m/s into the tunnelleading to the bunker. Meanwhile the player's ball travels into the second tunnel located North of East (to great applause from spectators).

If the player's ball weighed 40g, and the opponent's ball weighed 45g, how far apart were the centres of the two tunnels?

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