I'm trying to calculate the position of an object that moves ahead with constant acceleration but that changes its heading at a constant rate. I get a strange result, so I think that I'm missing something. Could you take a look and give me some advice?
The linear velocity of the object is , and the heading is . The velocity in is then .
To simplify, I consider the case with , so .
Then I try to integrate to get the position in , and I get the following:
My problem is that if now I consider the case where the object moves with constant heading, , and I apply the formula above, the result is infinity.
What I am doing wrong here?