The track question seems really straightforward, so I must be missing something.

The question is how fast do you have to run the 2nd lap such that the average of the two laps (Vavg) is twice the velocity of the 1st lap (2V1); so Vavg = 2V1 (says right in the video). Unless I'm missing something, V2 has to equal 3V1:

Since the problem states that Vavg must be 2V1, we can substitute that in the average calculation below:

So, Vavg = (V1+V2)/2 becomes 2V1 = (V1+V2)/2

Now solve for V2:

V2 = 4V1-V1
of
V2 = 3V1

i.e. your 2nd lap must always be 3x faster than your 1st lap so that the average of the two laps is twice the velocity of the 1st lap.

No?

I just realised. I'm wrong about the lap question.

The trick is that it's a LAP of a track... the distance can change between lap 1 and 2, depending on how far from the centre you run.

1) < 1/2 full of honey or other slime
2) bike will go backwards 1/4 pedal turn (forcing the pedal to rotate forward but move backwards) regardless of gearing because the wheel rotation/travel is much longer than the pedal rotation/travel

3) (T1+T2)/2 can never equal or be less than (T1)/2...so impossible unless you can finish lap 2 before you start it

4) a small portion of the lip of the wheels, farther out than the part that rides on the rail

Side note, how did you all get the numbers mixed up? #2 is the bike, not the track.

Looks like the prototype was flying a few years ago: https://www.youtube.com/watch?v=QNXJE2gKVK4

Well at least a few laps of the airfield anyway

ya, for velodrome or maybe a criterium where you do quick laps of a few city blocks, but you aren't going to find a fixed gear race where you tour through a mountain range and do big descents;)

Once again (we've been on this ride together before) I do not feel the shame you try repeatedly to lay in my, and any other non vegan's lap.
That does not erase your constant attempts at food shaming.
This time you called us all cheese junkies....and you don't think we understand that you're trying to derisively shame us? Perhaps you need the self reflection.
You didn't offer scientific fact, only silly derision and a link to propaganda, as is your M.O.

ok,first off?
this is heritage foundation,a right wing think tank.
this by itself is not terribly damning.

however.

bridgette gabriel is a spokeswoman for the FRC:family research center.

the FRC,along with james dobson's "focus on the family" ,were both funded with seed money from the families of betsy devos and erik prince,the amway pyramid scheme dynasty.

so what enoch?
what's the big deal?

well,when you understand the underlying religious philosophies of the the devos/prince family.you know that they are christian supremacists who wish to install an amercian government that adheres to "christian" laws and "christian" values.

yeah..you know that whole "sharia" law that has rightwingers pissing themselves? same thing,but this is with JESUS,so it has to be good,right?

and what this gabriel woman does is utter revisionist history to fit her own narrative and agenda.i am talking fucking blatant,but since most americans don't even know their OWN history,never mind the history of a religion they profess to love and worship,they just lap this womans bullshit up as if it were spoken from god's own lips.

because let us be frank,and clear.

christian right wingers literally piss themselves at the thought of muslims.and this woman hand feeds that fear.

this woman is a fucking disgrace.
9/11!
benghazi!

this woman feeds on your ignorance.
stop being a fucking tool to demagogues like this fucking twat waffle.

Well he does say he has no 'smoking gun'.

The thing is, nothing he said is proof, but everything he said follows logical steps and a chain of verifiable evidence to a conclusion, which cannot be said of the 1001 supposedly 'disqualifying' offenses the GOP claims Clinton's been party to. Olberman's story is exactly what investigative reporters are supposed to do and exactly what they've been failing to do in the US for decades now.

How come we're just finding out about Trump's past rapey comments now? Why wasn't the media asking those Miss Teen USA contestants about their experiences until this week? The media has fallen flat and Olberman is one of the few trying to prop it up again. Hell, he's not even a real journalist, he's a sports reporter. Maybe that's why he missed the part in Journalism school about rolling over for big money and special interests like a lap dog.

His conclusions may be questioned, but he is clear from the report they are HIS conclusions, not verifiable facts. I see nothing wrong with that.

What's going to be really shit if Trump wins is that it will be blamed on Sanders.

He's campaigning for all the right reasons and he's trying to move politics along, away from the stale and shitty status quo. Good things will only happen if people really work for them.

But so much of the media and the democratic party seem to want to keep their cushy status quo that they'll spin this out as his fault for trying to be disruptive. The public will lap it all up and progressives wil become a thing to hate, to be scared of.

It'll be shit.

Are you losing laps to your competitors?
Are you paying your "15 minute" oil change place proportionate amount of money that those guys are getting paid for their 1.92second service?