In 2067, gravity reverses after scientists fail to harness Earth's gravity. Teenager Patema discovers underground society Aiga with inverted gravity. She meets Eiji, who helps her escape Aiga's control tower. Izamura, leader of Aiga, captures Patema and imprisons her. Eiji and friends free Patema using their inverted gravity
Geoid is the shape of Earth's ocean surface without wind and tide effects. It extends through continents and is irregular but smooth. Geoid's deviation from ellipsoid ranges from +85m to -106m
Galileo allegedly dropped unequal weights from Leaning Tower between 1589-1592. Viviani claimed experiments were conducted with professors and students. Most historians consider it a thought experiment rather than physical test. Galileo's earlier prediction was that same-material objects fall at same speed. Experiment disproved Aristotle's theory of gravity
Gravitational acceleration is the steady speed gain in free fall without drag. All bodies accelerate at same rate in vacuum regardless of mass. Earth's gravity ranges from 9.764 to 9.834 m/s² depending on location. Standard value is 9.80665 m/s² (about 32.1740 ft/s²)
Galileo used inclined planes to slow down free fall acceleration. All quantities except velocity and speed are vector. Average speed requires velocity and distance measurements. Objects fall with constant acceleration in vacuum
Gravity is universal and depends on masses and distance between objects. Universal gravitational constant G is 6.673 x 10^-11 Nm²/kg². Distance between objects (d) must be in meters (m)