In a two-dimensional environment:
- a starting point (x1,y1)
- an initial velocity (speed and 2D heading/direction)
- a constant rate of turning (yaw, since there is no roll or pitch in only two dimensions)
- a constant acceleration of the object from itself (not like gravity where the direction of the acceleration is relatively constant - "down" - but like a rocket that is propelling itself)
- a time change t1 to t2
What is the formula for the final point (x2,y2)? What kind of physics problem do I have on my hands? Is this just a variation on kinematics with variable acceleration (varying direction of acceleration instead of amount), or is it qualitatively different?