<Temperature> is continuous through an instantaneous carbon injection. With $T(0)=0$ and $C(0^+)=1$, $\boxed{\dot T(0^+)=b_0}$. Its initial slope is finite; the emission pulse makes the carbon burden jump but does not give this first-order thermal model an instantaneous <temperature jump>.

Solution

Past exam of the short options paper shared by Prelims and Parts A and B of the physics course of the University of Oxford / 2017 / S25 / 3 / 2 / a / Solution

 Solution (source code)