ok i know its going to be negative because its decreasing but how do I do part c? I honestly have no clue where to start this one. My thinking is that dV/dt means volume(y axis) with respect to time (x axis) related to some ds/dt where s (y axis) is being differentiated with respect to time (x axis). I know how to read leibniz notation I just can't seem to grasp an understanding of it...
ok so for part (d) i got the answer of:
$\displaystyle ks^2 = 3s^2 ds/dt$
which is the same as $\displaystyle ds/dt = ks^2 / 3s^2$
Now, for part (e) I don't get how I would use my answer from (d) to write an equation which relates s(0) to s(1) and then use it to find t_melt in terms of the quantity s_1/s_0
Can anyone help me out?