Projected trajectory of a vehicle?
- by mac
In the game I am developing, I have to calculate if my vehicle (1) which in the example is travelling north with a speed V, can reach its target (2). The example depict the problem from atop:
There are actually two possible scenarios: V is constant (resulting in trajectory 4, an arc of a circle) or the vehicle has the capacity to accelerate/decelerate (trajectory 3, an arc of a spiral).
I would like to know if there is a straightforward way to verify if
the vehicle is able to reach its target (as opposed to overshooting
it). I'm particularly interested in trajectory #3, as I the only
thing I could think of is integrating the position of the vehicle over
time.
EDIT: of course the vehicle has always the capacity to steer, but the steer radius vary with its speed (think to a maximum lateral g-force).
EDIT2: also notice that (as most of the vehicles in real life) there is a minimum steering radius for the in-game ones too).
