I dislike maths because it is boring, the questions we do are very dull (even the physics related ones that the textbook writers stuck in) however they use s as a variable for speed and d for displacement which is disgusting (it is v for speed and s^ for displacement)
well for math advanced they use proper notation for the physics related questions i.e. x for displacement and v for velocity and a for acceleration.
Plus doing math advanced has definitely helped me understand module 5 and 6 of physics better.
This is from the 2024 paper
If you learnt calculus in advanced, you would have easily made the connection between the area under a force vs displacement graph and how it relates to work done.
I said that the force of decreases at the inverse square of the distance away from the centre of the earth, hence the area under the graph (work done) in model B is much less at the same height compared to model A, which was much easier to conceptualize and understand than the sample answer nesa gave which uses the U = -GMm/r formula. I got 4/4 on this question as a result
Also the formula U = -GMm/r is actually derived using calculus, which the hsc textbooks never showed.
The formula for work is W = Fs or W = ∫Fds which just means the area under the force vs displacement graph
Using F = GMm/s^2, where s stands for distance from centre
W = ∫GMm/s^2 ds = -GMm/s = -GMm/r
The minus sign is there because thats the result of integrating something in the denominator, not because some scientists added it as explained by the hsc textbooks
