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Player movement prediction and enemy angle

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So I have a 2D top-down shoot-em-up. I want enemies to predict where the player is going and go there and collide with the player at the same time instead of heading where the player is at at the moment. I did all this complicated trigonometry stuff and I still did not get it. I would post my work so far if I knew how and I wouldn't want to create any more confusion. The factors are: player position x & y, enemy x & y, player velocity x & y (which considers the player angle and speed), enemy speed, and time (it takes to get to the collision point). The player is a bit faster than the enemy. If there is no way for the enemy to block the player (eg player is moving away from enemy), then the enemy shall simply head towards the player.

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