But why do all objects free fall at the same rate of acceleration ..

ESA aims to launch such an observatory, provisionally known as LISA, in 2034. The mission will likely consist of , with each leg about 620,000 miles (1 million kilometers) long. Inside each craft will be a "free-falling test mass"; lasers will measure the distance between these masses, spotting the minuscule anomalies caused by passing gravitational waves, researchers have said.

Acceleration due to gravity is the acceleration of a freely falling body
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By going into a dive position (rather than a typical stable free fall position) the faller could accelerate his rate to catch up with the parachute, but don't forget about the movement of the plane.


Lab 3: Free Fall and Acceleration | Intro Physics Lab

"We can determine the distance of the two free-falling test masses to ..
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"We can determine the distance of the two free-falling test masses to less than the diameter of a single atom," Gerhard Heinzel, leader of the Interferometry in Space research group at the Max Planck Institute for Gravitational Physics and Leibniz University in Hannover, said in the same statement.