Joystick Jumping/Falling Acceleration

Hello all
I`m working on mobile 2D side scroller game and I have a problem with fall acceleration
So problem is in delay. I need the character to hang in the air for a second and then fall down with acceleration. Acceleration increases after each delay, but I need to make delay once then increase acceleration on each frame.
Please help!
Im also not sure that this needs to be done in event tick
Any advice is welcome!