I came across this fact when I was just sifting out my all my books n random papers (cupboard of a to-be-engineer is full of Xerox pages, mostly crap). I read the fact again, and my brain resorted to thinking. As follows-
'If you fall from this above mentioned building, will u have enuf time to take out your cell and call your mom to inform her the catastrophe? Or call your the-loved-one and inform him/her that its all over, and say the last 'I love you…' before you hit the ground?'
Analysis:
(every analysis follows assumptions, that I'll key down later)
So,
1. To make this analysis, we need to find out the terminal velocity, I had to stretch my memory lane back to the days at Lakhakar's, plus some phone calls later, it was decided that terminal velocity for human with limbs outstretched is about 55.6m/s. (the amount of research that went into coming up with this blog is enormous. ;)
2. so, the body accelerates to this speed from 0 m/s at 9.8m/s/s (metres per second square), we assume. Time taken to reach terminal velocity from rest turns out to be a shade less than 5.7 seconds. (infamous Newton's Laws of motion)
3. and distance descended during this time is 160.6m, assuming, tho, that you don't hit the sides on your way to death :P
4. total time you take to hit the ground or so to say, to meet death is 5.7 + 6.27 = 11.9seconds.
5. is this time enuf to say, to your loved one, specifically that, "I'm falling from world's tallest building. I love you. Goodbye." -- assuming u speak 3 words per second?
The answer is Yes!
(You can test this one by phoning your loved one from the ground, saying these things, and timing yourself, to check out if it's possible. Ofcourse, do call them back to reassure them)
WARNING: You probably wont have time to text an sms.
Assumptions made:
1. terminal velocity,
2. the value of 'g'=9.8m/s/s,
3. you don't hit the sides on the way down,
4. the number is assigned to some speed dial key, n u press the correct key.
5. you press the key the moment you fall,
6. the recipient receives the phone at the first ring itself. `
7. The network coverage is great. (MOST IMP. ASSUMPTION)
Time it would take to hit the ground if you jump from---
-Eiffel tower(300m) : 7.7s
-Empire state building (381m) : 9.16s
-Mount Everest (8848m) : 2min 42s
-The depth of Mariana Trench(10924m) : 3min 19s
I guess three min is long enuf for death by heart failure than by hitting the ground.
Now, Wonder if Mount Everest and Mariana Trench were next to each other, the depth of fall from Mount Everest into the trench would be about 6mins and distance of about- 19772m.
Hehe!
"Oh shut it, let me sort out my books n arrange the cupboard…" says my brain after exploring those equations and those goddamn values . . .
Goodnight/day.
