I don't believe in calculus.
'War Stories'
The Crying of Natter 49
Off-topic discussion. Wanna talk about corsets, duct tape, or physics? This is the place. Detailed discussion of any current-season TV must be whitefonted.
It takes 2 seconds to accelerate to 40m/s. 40m/s = 10 * t^2.
I don't believe in calculus.
::claps slide rules together::
From that you can figure the distance where d = vt + 1/2at^2
Is "They really liked you, but didn't think you were precisely right for that job, so they passed your resume on to another department." the interview equivalent of "Let's just be friends."?
Because I haven't had an interview response other than that so far. One position will let me re-interview for it, but not for a month or so. By which time I'd really like to be already employed.
Also, how does one correctly punctuate the first sentence?
It takes 2 seconds to accelerate to 40m/s. 40m/s = 10 * t^2.
Well, fuck a duck.
From that you can figure the distance where d = vt + 1/2at^2
I don't remember anything.
Also, how does one correctly punctuate the first sentence?
You don't need that first comma.
All the whole "frictionless roller coaster" thing means is that the velocity can change direction without losing energy. And we can subtract the 1ms starting velocity from the ending velocity. So really, it's "how far does the roller coaster travel if it fell straight down, accelerated at 10m/s² and had a final velocity of 40m/s."
If the thingie traveled at a constant 40m/s for four seconds, it went 40m. But of course it was accelerating, so the distance would be less than that. Here's the trick: Because the acceleration is constant (eta: and the velocity started at 0), we can just divide the 40 in half.
d = vt
That's if your velocity is a constant. When there's an acceleration, you can't multiply those two things when v is different for each t!
So it's actually:
y=y0+v0t+0.5*a*t^2
(which is exactly your integral, because the integral over v, which is v=v0+at is exactly what I wrote above.)
[Edit: x-post integrals]
You don't need that first comma.
That's so not the big problem with the sentence.
If the thingie traveled at a constant 40m/s for four seconds, it went 40m
Not really paying attention to the problem as a whole--but in it is there a reason travelling 40m/s for 4s doesn't take you 160m?
If the thingie traveled at a constant 40m/s for four seconds, it went 40m.
So it WAS 4 seconds! v = at, not at^2. At least that makes sense.
y=y0+v0t+0.5*a*t^2
Where did the 0.5 come from?