This is a differential equation question. Since I might not be able to explain is well, I will attach a link to the question as well as a screenshot of the mark scheme.
Question:
Mark Scheme:
Here's what I've done so far:
$\frac {dh}{dt} = kh^2$
when $h = 1, \frac {dh}{dt} = 4.95$
$k = 4.95$
$\frac {dh}{dt} = 4.95h^2$
As you can see, I'm not on the right track. I would really appreciate it if someone would guide me on where I'm going wrong. I'm not THAT bad at differential equations, but the ones with a scenario end up being too complex for me at times. I will add that I have knowledge of product and quotient rules and the chain rule (not too good at this which explains my lack of skills in this topic). I am also comfortable with partial fractions (looks like part $(ii)$ of the question is about partial fractions. Thanks in advance! :D