I tend to see the curve as decelerating. There was in fact a huge explosion in technology beginning in the early 1800’s, but I don’t see any significant advances within the last 50 years except with computing. Maybe that will lead somewhere, maybe not. I don’t know.
True the big visible stuff like moon launches have given wway to Muslim feel good crap, but there have been so many less high profile advances. Composites/metals advances, the tech that would be used in space journeys/survival, medicine...all those things that don’t scream “warp drive!”, but are none the less required.
The computing thing... We went to the moon with a combined fraction of the processing power contained in a modern iphone. If we ever regain the will to exploit it, to regain our exceptionalism, we will amaze ourselves with what and how fast we accomplish it.
But that is of course, a big ‘if’.
I may disagree with you, slightly. You're talking about the Industrial Revolution in the 1800's, yes? That was a really big deal. However, there have been huge advances other than with computing in the last 50 years. I see one of the biggest as the discovery of new elements on the Periodic Table. We are very close to discovering new elements that may be extremely stable and that have miraculous properties.
Once that is achieved, we will see an explosive growth in new technologies. Pun intended, although there is more than just weapons. We're talking about amazing materials with magical properties that will allow new spacecraft designs using extremely low amounts of energy for propulsion while allowing strong lightweight craft. Computers that don't need heatsinks to bleed off heat from using lots of energy. Materials that can be printed in shapes without additive manufacturing, that remember their shapes if deformed. The list is endless.