Maybe not but you could put it correctly.
immediately you pull up into a climb you start to DECELERATE as you are now being pulled back to earth by GRAVITY. not ACCELERATE.
you only have your momentum to FORCE you up which is being taken away by gravity.
this is a VERTICAL climb and there is no contribution of lift from the wings by the way.
and even if there was, it would still be the force of momentum pushing you along against the drag and gravity 4 forces in play not 3.