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The old 4U syllabuses had vectors+matrices and their applications (e.g. rotations of coordinate systems and other transformations).

They could generalise it to things other than speed (I don't know whether this is already done).

Pretty much, yeah. Note that in the HSC Chemistry exam, calculations only make up about 10-15% of the marks though.

Average rates of change could easily be done without needing calculus (e.g. average speed etc.). Instantaneous rates of change would require calculus though.

100%. Or maybe closer to 80%.

No more conics, DE's (differential equations) and difference equations coming in, as well as statistics / statistical inference. There might be some more, didn't read it too thoroughly. Edit, this was for 4U.

$This is basically a derivation of the well-known formula $v^2 = u^2 + 2a\Delta s$ for \textsl{constant} $a$.$

Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread $Let $\mathcal{I} = \int \sqrt{16 - x^2} \text{ d}x$.$ $Use the substitution $x=4\sin \theta$, $\theta \in \left[-\frac{\pi}{2},\frac{\pi}{2} \right]$ \Big{(}choosing this domain so that our substitution is one-to-one with...

$The formula $v^2 = u^2 + 2a\Delta s$, where $\Delta s$ is the change in position from the initial position at time $t$, applies for any 1-D motion with \emph{constant} acceleration $a$, where the initial velocity is $u$ and the velocity at time $t\geq 0$ is $v$.$

Constant (non-zero) acceleration in one direction and 0 acceleration in the perpendicular direction.

Yay, the calculus definition.

Lol not worth the risk.

re: HSC Physics Marathon Archive 20 MCQ's. The 15 changed to 20 a few years ago.

re: HSC Physics Marathon Archive Lol not really beat, just that I didn't notice it was answered (was answered roughly an hour before my post)

re: HSC Physics Marathon Archive To you, yes. Edit: oh wait, answered already.

Plus, the MacTex one definitely doesn't look shady ( http://www.tug.org/mactex/ ).

They're the legit places to get it from.

Nope lol (to the last sentence), you can download it and write up documents containing equations. Depending on your Operating System, there's different places to get it from. They're listed here: https://latex-project.org/ftp.html

LaTeX of course!

I think they rush to get their solutions out relatively quickly, so it is easy to make a silly mistake.