Minecart station concept

This is a mine cart station idea that I had. It’s located in my town and should transport the player across a lake. The idea is for one cart to be waiting at each end of the tracks. You can get into one side and push the button to set yourself off and when you reach the other end, the pressure pad track will send the other cart to your starting position and your cart ends up parked at your destination.

Sadly it doesn’t work. It’s because momentum varies too much between empty and occupied mine carts. Empty carts don’t reach the parking position while occupied carts overshoot it. If anyone knows a fix, please let me know!