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Read your textbook.

Re: HSC 2012 Marathon :) x = 5sin \left ( \frac{\pi}{2}t + \frac{\pi}{6} \right ) \\ \dot{x} = \frac{5\pi}{2}cos\left ( \frac{\pi}{2}t + \frac{\pi}{6} \right ) \\ \ddot{x} = \frac{-5\pi^2}{4}sin \left ( \frac{\pi}{2}t + \frac{\pi}{6} \right ) \\ \ddot{x} = a = -\frac{\pi^2}{4}x \therefore $ It...

Oh. My. God. Please tell me that's not fake.

This is fucking amazing

Seems right to me, can you explain a bit more?

^^

\\ 1. \\ $(a) $\frac{dh}{dt}\propto h_{1} - h_{2} \\ \frac{dh}{dt} = k(h_{1} - h_{2}) \\ $let $h_{1} = 20-x$ (It is initially 20cm, and loses x cm as vessel 2 gains x cm) \\ let $h_{2} = x \\ \therefore \frac{dx}{dt}=k(20-x-x)\\ = k(20-2x)\\ \\ (b)$ $ \frac{dx}{(20-2x)} = k$ $dt \\ \int...

Dunnno about you guys, but for the first time a couple weeks ago I went to bed early for an english exam that was the next day. Did not work at all. Forgot everything.

Very interested!

what questions are you having trouble with? projectile motion is pretty much assuming vertical velocity is initially Vsin(theta) and horizontal velocity is Vcos(theta), then using the details of the question + calculus to derive the rest

Re: HSC 2012 Marathon :) Doesn't this require the use of diagrams?

You can try, and risk a 0

What does most dedicated of all mean? people below year 11? lol

Yea this is 3u. And you won't understand it COMPLETELY until you've done probability (combinations).

It's probably gonna be a shit exam. Best not to study.

According to the board of studies it's syllabuses

Can OP clarify

^Agreed!!

Why not \\ x= 4 \cos \left (\frac{2 \pi}{3} t + \alpha \right ) ?

Ah I see, sorry.