## Feat overview

Distance he covered **≈ 8000Km = 8000000m **

**Calculation **

By impulse momentum theorem :-

F**Δt = m ΔP = m(Ux i^ + Uy j^) (considering contact force was constant throughout) **

**Maximum height attained by thor should be around 408 Km above earth surface since visually the earth appears the same (at max height) as seen from the ISS **

(https://cdn.theatlantic.com/media/img/photo/2016/06/earth-from-above-expedition-47-aboa/e01_ISS047E133215-1/original.jpg)

**Finding Uy **

**Finding Uy**

( put y = 408000m in the above equation) Uy comes out to be 2770ms^-1)

## Finding Ux

Ux = 8000000/2T(1/2) , where T(1/2) is half of the total time of flight

## Finding T(1/2)

It is given by a little complicated expression

Here Ymax is the highest point of trajectory which is equal to 408 Km . R is the earth's radius ,g is earth's gravitational field at surface.

## Proof for this ^^^

Last part when integrated properly yields the result in the previous image.

And T(1/2) comes out to be 288.32 seconds .

so Ux = 8000000/2T(1/2) = 8000000/576.6 = 13874.43 ms^-1

## Coming Back to the initial calculation

F**Δt = m ΔP = m(Ux i^ + Uy j^) (m = 90 Kg as should be considering how tall and athletic and bulky thor is) **

**F Δt = 90(2770 i^ + 13874.43 j^) **

**duration of the fastest punch by a trained human fighter is 0.06 second (https://boxingscience.co.uk/science-behind-punch/) .**

**F = (90/0.06)(2770^2 + 13874.43^2)^1/2 = 21,222,360 N ( This is a low end feat since the duration of the punch is that of a normal human but cap marvel is not a normal human). **

**Let's say she punches a 1000 times faster than a normal human so the force would be 21,222,360,000 N (21 million tons of force). **

## Note:-

Real time duration of flight was about 10 seconds but it is not the actual duration of flight .

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