Throwing Object with acceleration equation/script?

I would like to script the animated movement of an object between two positions. So there is the start vector and the end vector. The start and end positions are important, and the trajectory should look something roughly like in the image below, but it shouldn’t be too precise.

Because the end position should be a fixed one, I can’t really use rigidbody physics. I tried using Vector3.Slerp and Vector3.Lerp, but I couldn’t manage to get an acceleration at the end of the trajectory curve.

Could you please give me a few hints, as I forgot the math behind these things?

Thanks a lot!

Actually you can use a rigid body. It references the newton physics engine rather than PhysX, but the answers given here should apply equally to any physics engine.

http://www.newtondynamics.com/forum/viewtopic.php?f=9&t=5480

There is a library posted in this thread that includes a Bezier curve implementation. A Bezier is not an accurate simulation of a projectile trajectory, but is easy, efficient and looks pretty good for most purposes.