“Based on wind resistance, for example, the terminal velocity of a skydiver in a belly-to-earth (i.e., face down) free-fall position is about 195 km/h (122 mphor 54 m/s).”
This boy is running 195 km/h.
That is the amount of fear Ira Gamagori is instilling in him.
If the kid is descending in a downward direction at 195 km/h, how does that translate to his speed traveling down the slight incline of the stairs? Because he might even be exceeding 195 km/h.
Regulation school stairs are around 40 degrees in incline
So if I use the Pythagorean Theorem…
He’s going 303 km/h.
That’s the same speed an Airbus A340 needs to take off and fly.
Who knew I would actually use something in math class.
Let’s not even get started on the amount of force that would be required to do an exact 45 degree turn on a dime at that speed.
or maybe gamagori is falling really really slow by intimidating the air
That’s assuming gamagoori is falling at terminal velocity, though, and that’s just not possible. Terminal velocity is achieved after falling for an extended period of time - he jumped out of a 5th story window. A quick google search tells me a story is roughly twelve feet, so that’s only 60 feet!
Now, an object in freefall falls at 9.81m/s squared, so to determine distance from the ground we need to convert that to meters - 60 ft = 18.23 m. The time it takes for a falling object to reach the ground is the square root of twice the distance it travels divided by the constant of gravity, or the square root of 18.23/9.81. Gamagoori was in the air for 1.85 seconds, and only reached a speed of maybe 15 meters/second. That’s an estimated speed, but the exact number is irrelevant anyway - he was traveling more than fast enough to catch the kid, because in the show he ran down those 5 flights of stairs in 5 seconds flat.
So now we get to the kid - 5 flights of stairs is 18.23 meters, as we know, but we also know he’s traveling down an incline. Using SOHCAHTOA we can discover the distance he had to travel in those five seconds. sin40 = 18.23/x, where x is the distance we want to find. My calculator brings that to 24.5 meters, in five seconds, so at 4.9 meters per second. That’s 17.6 kmph, or 11mph - as fast as a cheetah, but certainly within the realm of possibility.
Gamagoori jumped out the window a second after he left, though, and was on the ground with two seconds to spare to get to the door and catch the kid. Sorry, kid, but you’ll need to be faster than an airplane if you want to outrun gravity.
(Source: xekx, via captiankatsura)