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Yes, depends on English.

Not sure, but they said the constants are positive.

Just get 100%.

Yes.

re: HSC Physics Marathon Archive Not really, since the centripetal force mv^2/r assumes the centripetal acceleration formula and then uses F = ma essentially, so this reasoning is circular (lol).

Here's a graph of the function...

$We have that $\lim_{x\to \pm \infty}y(x) = 0$, so the line $y=0$ is an asymptote here.$

That answer corresponds to the first positive t-intercept, not the second one.

The chance of that happening is so small that one could be forgiven for not having a plan in place in case that happens.

re: HSC Physics Marathon Archive Special Relativity is a special case of relativity where you always assume constant velocity (so only considering inertial frames of reference). In General Relativity, you consider the general case of non-constant velocities, so the frames of reference are...

That's definitely legible I'd say.

Unlikely I think. The Q. was just 1 mark anyway (assuming you mean the max. speed one), so it'd be harsh if they took of the mark for no units. I think they just wanted the right number.

$Max speed is just $\sqrt{11}\text{ m s}^{-1}$.$

Yeah I think it would align to 100, and if they separate people for state ranks, that's only for state rank purposes and wouldn't be shown officially on your HSC results.

There was a probability Q. about putting counters into cells or columns of a large grid.

$The probability $A$ wins is $\frac{1}{2}$ by symmetry.$ $Alternatively, $A$ can win with $B$ winning exactly $k$ games in the first $n+k$ games, where $k$ can be $0,1,2,\ldots,n$ (this happens with probability $\binom{n+k}{n}\cdot \left(\frac{1}{2}\right)^{n+k}$; note $B$ can't win...

Re: HSC 2015 3U Marathon $E.g. $\sin x = \frac{t}{\sqrt{1 + t^2}}$, where $t\equiv \tan x$ and $x$ is such that $\sin x$ and $\tan x$ have the same sign (i.e. in quadrant 1 or 4).$

Re: HSC 2015 3U Marathon For the second triangle, it's t = tan(x), and you can find sin(x), cos(x) (and trivially tan(x)) in terms of tan(x) = t.

Lol no, 4U isn't even rigorous. It means you learn everything from the foundations rigorously (so including 2U level things).

Lol you should still bring your own black ones in case, since it said on the HSC timetable that borrowing equipment is not allowed. But yeah, don't bring blue then, just black.