How to calculate a collision course in 2D

As part of the enemy AI, I would like to calculate a collision course with the player.

Problem Description:

• Enemy and Player are moving objects best represented by an axis aligned rectangle in 2D space
• Working in 2D space and not using the physics engine (i.e. calculate position and collision in code)
• Both enemy and player move via acceleration and direction. i.e. described as vectors: position = position + velocity * t; velocity = velocity + acceleration * t
• Restrictions: minimum speed: 0, maximum speed: yes, different for each, maximum steering angle: yes, different for each but between -45 and + 45 (0 being upwards).
• Enemy AI Observes at t=0, its own position & velocity, the players position & velocity and assumes player's velocity to stay the same.
• How does the Enemy need to adjust its own speed and angle (assuming a collision is possible) to hit the player as fast as possible (i.e. t = ?) with the maximum speed (in case player is in front at observation) or minimum speed possible (in case player is behind at observation)

I would be interested to get pointed towards a C# solution for this. I did a google search on the subject and did not find what I needed (I might have used the wrong search terms), but I found some things that might help me develop a solution by myself. In case I do, before someone responds, I will post here.

Thx!

PS: In case I did not describe the problem sufficiently, please let me know what needs clarification. I do not want to waste anyones time.

 

I think I found what I need and it looks to be explained very well...just started reading...

http://www.codeproject.com/Articles/990452/Interception-of-Two-Moving-Objects-in-D-Space