Dead reckoning? That's a navigation procedure I haven't seen used since GPS became widely available worldwide. My father used to use dead reckoning to plot the course of the B-47 bomber he was responsible for navigating from his base in the United States of America (USA) to some target for his nuclear weapon in the Evil Empire of the Union of Soviet Socialist Republics (USSR) during the 1950s. Why use dead reckoning when he had a sextant, an
ephemeris, and radar navigational aids? Stealth. At the cruising altitude of the B-47, if there was no visible contrail, and no glint from sunlight, the airplane was virtually invisible, even if you knew where to look for it. Back then, there was no effective way to "shoot it down" unless you already had fighter aircraft pre-positioned and waiting. So leave the radar emitters off until the bombing run to lessen the chance of an unpleasant surprise.
The Strategic Air Command (SAC) B-47 mission was considered to be a one-way trip, with no practical return-to-base, because it was assumed that after we started slinging nukes at each other there wouldn't be any bases left to which they could return. Nor any aerial refueling tankers to get them there. So, yeah, take "fixes" with your sextant on the Sun, the Moon, and/or bright Stars to plot where your airplane
was, then use dead reckoning to predict where it
would be when you took the next sighting with your sextant.
Salt-water sailors have been using dead reckoning since at least the time of Columbus, attempting to predict where they were going based on some uncertain knowledge of where they had been, how long and how fast their ship was "making way" and in what direction that was, despite the vagueries of wind, currents, tides, and weather. It is indeed fortunate that they sailed on a globe for otherwise their ships would surely have fallen off the Earth.
Soooo... what was your "dead reckoning" that led you to disbelieve your results? About 9.6 minutes is quite accurate BTW, considering you know nothing about the efficiency of converting graviational potential energy into electrical energy. That's also about how long it would take a motor, consuming electrical energy at a 100 watt rate, to raise a 2000 kg mass a vertical distance of 3 m in the Earth's gravitational field. All that aside, pumping water from a low place to a higher place to fill an hydroelectric dam is still the most efficient way to store electrical energy for later on-demand use, said pumping energy being typically derived from a solar array or a wind farm or similar "renewable," but not continuous, source of energy. Raising and lowering non-liquid weights to store large amounts of energy is just not very practical.