Most student pilots.. with instructors on board.. cannot "land on the
numbers" and complete the required mantra to get every thing cleaned up,
pushed forward an airborne again as you describe..

Check the runway distance marker on a normal take off
and check it again on your touch and go..

Any guesses that you might be in the same place or maybe a little farther
down the runway?

BT

In my experience, a touch and go gets you airborne faster than a
takeoff from a standstill.

In a touch and go, you land on the numbers, pull up the flaps, put in
carb heat, give the trim two flicks down, put back in throttle, then
after a second or two, you're climbing. All this takes less time that
what it takes to accelerate from a stop to rotation speed. In other
planes it may take longer I guess, but not at all in a C-152. Height
above departure end is, in my opinion, negligible (especially at a
longer runway such as KSAC)