Let’s assume that the super-advanced secret Shield remote HQ plane Mk II weights about as much as a loaded 747.
planeWeight=[EntityProperty["Aircraft","MaxWeight"]]~UnitConvert~"SI"
And assume that it starts the dive at normal 747 cruising speed, but max height (what with being a spy mission and all).
startingSpeed=AircraftData,"CruiseSpeed"~UnitConvert~"SI"
AircraftData,"Ceiling"~UnitConvert~"SI"//N
Let’s also assume that the “Thrusters ‘r maximum” that the pilot says when Giyera pins the throttle down only manages to counter drag.(It should actually accelerate the plane down faster than gravity, but we’ll ignore that to keep the numbers simple. We’re going for an underestimate here.)
fallingSpeed=
Let’s use the gravity displacement equation to figure out how long the plane falls, accelerating at the whole time.
9.8m/
2
s
displacement=9.8m//2+t
2
s
2
t
v
i
Solve-+t,t[[2]]
2
t
{t}
Turns out it’s not that long. Still, lets add that 25 seconds of freefall to our end speed.
endSpeed=startingSpeed+×
Huh. That’s supersonic. Faster than some types of bullets. Anyway, if you study the clip, the plane decelerates in 4 seconds and 3 frames, roughly 4.22 seconds.Let’s figure out just how much acceleration was required to do this stop on a dime.
Solve×stopAccel,stopAccel
stopAccel
And since we know the mass, we can compute the force required to achieve this acceleration with
f=ma
SolvefplaneWeight,f//AccountingForm
{{f}}
39 Million Newtons.But wait! The jet has thrusters which slow it down right as it lands. Giyera doesn’t have to do all the work.
Let’s assume that each of the eight thrusters shown has output equal to the main engine of an F15C with afterburner. That’s about 105,700 Newtons each.
38.2 Million Newtons left that Giyera is responsible for. And remember, these are underestimates based on the assumption that full downward thrust only manages to counteract drag and doesn’t accelerate the plane down even faster.No wonder he was able to pry open the door to the cell. The buckle he used to do it must have been made of vibranium though. That will teach those Shield people to waste precious metals on components that don’t need it!
