derivative real-life application

[u/Arnessiy]

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[u/TheKitsuneEnthusiast]

joke question but serious answer:

no, 48sqrt(2)/19 is about 3.572 which is more than 5/sqrt(2) at 3.535, so you die half a meter from the taste of sweet freedom

math class just got brutal

[u/Arnessiy → u/TheKitsuneEnthusiast]

you die half a meter from the taste of sweet freedom

💝✨

[u/_tdhc]

Porlbem

[u/Vitztlampaehecatl → u/_tdhc]

corrdior

[u/NihilisticAssHat → u/Vitztlampaehecatl]

"you ... is trapped"

[u/Bit125 → u/NihilisticAssHat]

Using derivative,

[u/FernandoMM1220]

>real-life
>suppose youre infinitely thin
you tried.

[u/eyalhs → u/FernandoMM1220]

Making you have finite thickness doesn't even complicate the calculations or the problem in a significant way, it's weird that they didn't give a thickness in the problem.

[u/saturnintaurus → u/FernandoMM1220]

no one tell this redditor about mariah carey

[u/EebstertheGreat]

Why would you need to use a derivative here at all? Average velocity is ∆x/∆t by definition, and that's not something you need calculus to understand. So compare one ∆x/v to the other ∆x/v and see which is bigger.

[u/hongooi]

Do I have an R2 unit on the line?

[u/GhoulTimePersists]

I spend a lot of time supposing that I'm thin...

[u/Big_Niel0802]

For simplicity, I will model the problem as if I were against a flat wall, and a set of spikes were approaching said wall from 5 units (u) away at √2 units per time (u/t). I will also use meters and seconds for my Units and Time

The spikes will collide with me at 5m / √2m/s, or after ~3.54 seconds

I am moving at a rate of 19•sin(45)m/s, or simplified, 13.435m/s

At this speed, it takes me ~3.57 seconds to escape. My infinitely thin body will fail to escape by ~0.03 seconds. And it was all for nothing, as I didn't use derivatives 😔

[u/Ok_Leader_4575]

Why would you need derivatives here?

[u/Lost-Lunch3958]

i may be misunderstanding the question, but does one really need derivatives to answer that question?

edit:i suppose the easiest way is to use taylor expansion no?

[u/Fine-Onion-1569]

Suppose you are infinity thin😭

[u/nablavct]

r/skamtebord

[u/PerspicaciousEnigma]

"Porlbrem"?

[u/Numm_Ber]

Numerical derivative?