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I am making an air hockey game on Android with Box2D and libgdx. For the manual control, I just use the MouseJoint and it works perfectly. However, for the AI control, there is a problem:

I've made a method predicting the position of the puck in the near future (for example in the next 30 frames). Then I tried to move the paddle towards that predicted position such as: after exactly 30 frames, my paddle will arrive in time at a specified point near that position to hit the puck with a specified velocity.

But the problem is, if using MouseJoint, I can't specify the exact interval 30 frames. The paddle will arrive at the specified position, but it maybe sooner than 30 frames, or later than 30 frames. And I can't control the velocity when it arrive at that point either.

What I need here is a way to control my paddle to arrive at a specified point, with a specified velocity in a specified interval. Or is there any other way to control this AI paddle?

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You have the time (30fps = 0.5seconds) You have the distance (DesiredPosition - Position).Length()

You can calculate your required speed now:

Speed = Distance / Time;

Then just set this speed as your physic's objects velocity, and in theory it should reach the destination. This does not account for drag, friction, etc..

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