Let’s say McConoughey (the movie’s main character) was falling towards Messier 87’s supermassive black hole, and that he’s currently 100 times further than the Schwarzschild radius. If you both start your clocks at the same time, and yours reads 10 seconds, how much time has passed for McConoughey? (Hint: you don’t have to actually plug in Messier 87’s Schwarzschild radius. The numerator and denominator will both have an rs term (i.e., d = 100* rs) so the second term in the square root just simplifies to 1/100).

* Round your answer to the nearest thousandth (provide it with three decimal places).