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RE: SteemYourBrain Challenge #1 [2 + 3 SBD reward!]
I just found your contest today.
So I'm a bit late to win.
But I still had fun playing with your little puzzle.
You STEEMED my brain. This is a fun challenge.
Intuitively, my guess would be something like v2 = 4v1
But to my surprise, when I played with the math,
here's what I came up with.
D = 1 km
T1 = Time to run the 1st half
T2 = Time to run the 2nd half
T = T1 + T2 = Total Time
V1 = (D/2)(1/T1) = Velocity in the 1st half
2V1 = 2(D/2)(1/T1) = D/T = Total average Velocity
divide both sides by D --> 2/2(1/T1) = 1/T
T = T1
But T = T1 + T2
Thus T2 = 0
V2 = (D/2)(1/T2) = D/0 = infinite velocity
Haha surprised?
Thanks for playing btw ^_^
answers will be disclosed after payout :)
btw you can go deeper :)
That was the Newtonian view, since we can expect that our runner can never run at relativistic velocities.
Considering Einstein, we need to consider that the speed of light is the ultimate speed limit, as far as we have experimentally detected. (Tachyons are still undetected.)
So the runner can never run at the speed of light due to the infinite gain in mass. But even if she could run that fast it wouldn't be enough. To a stationary observer, if she ran at the speed of light, it would take her 1/600,000 sec which is too slow and she would cause a black hole and suck inside the observer and the track and the earth, etc.
At very high velocities, time does some weird things, it slows down. Even our GPS satellites run at a slower time than the earth, in agreement with Einstein's equations.
If she could run faster than the speed of light, time might even go in reverse, which causes some really weird paradoxes.
Serious shit physicist here man ^^!!
Lets wait for 2 more days and I will disclose my answer here :)!!
You haven't yet disclosed it, have you? This is also my answer...
Boy, I love gentlebot