I am working on a simple project that consists of a ball with a rigid body being pushed along the x axis. The ball needs to transition 90 degrees and continue straight up.
I've created a box to serve as a pivot/rotation point and placed it exactly 5 units above the beginning of the 90 degree transition from and exactly 5 units away from the end of the transition. I've created two colliders that work as triggers; one at the beginning and one at the very end of the 90 degree transition.
So my ball will come zooming along on the x axis and hit the first trigger. When it does I reset the ball's velocity to zero and parent the ball to the box serving as a pivot/rotation point. I've then applied angular velocity to the box so that the ball will rotate exactly 5 units around the pivot point. When the ball hits the second collider at the end of the transition it is un-parented and velocity is reapplied so the ball can continue straight up.
So here is the question; if the ball is 5 units away from the pivot point, the distance traveled for the 90 degree transition would be something like : 5 * 2 = the circles diameter * PI = 31.4 units distance around the circle / 4 = 7.84 game units to travel for the entire 90 degree transition.
So how do I match the velocity the ball had while traveling solely on the x axis so that it has the same speed while transitioning using the pivot point rigid body's moveRotation function around a circular axis?
If I have a velocity vector of (-10, 0, 0) when I hit the first trigger how do I calculate what to feed into the moveRotation function so that a the ball, rotating 5 units away from the pivot point, is still traveling at 10 units a second?
Taking the original velocity (-10, 0, 0) and multiplying by the distance needed to travel for the 90 degree transition(7.85 units) looks really close but I can figure out how to check it.