How strong would your squat need to be to do this pic related?

well basically when you hit the ground at 10m/s it hurts quite a bit and might damage your body a bit

You can't exert enough force on the chair (and vice versa) to slow your velocity.

could a grasshopper?

You're acceleration is 10m/s^2 your speed is faster

Nobody can jump hard enough to counteract the 10 m/s or so of velocity you’ll be going to not lose both of your legs. Also

Cancelling out all of your momentum with your legs in a fraction of a second would equal in impact to hitting the ground if you were just falling.

Basically, if you're able to survive the jump from the chair with this much required force, then you're strong enough to not die from the fall. Which you're not.

it is actually (theoretically) possible, you would just have to jump with such force that you impart all your kinetic energy into the chair.
That is an extremely strong jump depending on how far you've fallen up until that point.

It actually would, you would just need to kick the chair very fast
Letz consider the chair and you have the same mass m, and after falling down both have the velocity v. Your momentum p is mass times velocity, with the complete mass M = 2 * m
=> p = M * v = 2 * m * v

Since momentum cannot be destroyed, just redistributed, you can give your momentum to the chair, which will increase its velocity.

So again, right before touchdown, both you and the chair have a momentum of p =m*v, which has to be conserved in your closed system. By kicking the chair to double its original speed, its new momentum is p = m * 2*v, which is the complete momentum in our system.
There is 0 momentum left for you, so your velocity has to be 0 as well.

Need good timing and good quadriceps tho, have fun

What if I jumped with a four metre ladder and at the right time started to climb the ladder then jump off the top of the ladder?

Then youre retarded
You cant climb a ladder this fast faggot

What if the ladder was the height of the fall?

Okay so the reason this wouldn't work is because you are more massive than the chair, so you have more inertia, meaning when you push off of it, it will move more do you would just be pushing it down.
BUT, what if you grabbed a barbell with like 600lbs on it and forced it out the window and right as you got it out you jumped with it, holding on to make sure you stayed with it. Then you pushed off of this massive weight with more inertia than you I stead of a chair. Assuming you weren't so high up that you picked up too much speed, this could save your life by decelerating you a tiny bit. You'd still probably snap your bones up, but it could be the tiny difference between life and death.

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Then you lean the ladder against the building and climb down.

This

this is the non brainlet answer

As another user pointed out, the force required would be the same as if you hit the pavement. Maybe if you jumped at the halfway point, the remaining fall wouldn't kill you.

All of it, obviously.

if the seat of the chair was wide enough and light enough you wouldn't even have to jump at all

Holy fuck this is a blast from the past. I used to love this shit when I first visited /b/

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Yeah, you could just stay in the burning building and die with your sweet chair.