Use two point conditions and a slowing-distance model

(a) Find $y=f(x)$ through $(1,0)$ and $(-1,2)$ with $dy/dx=3x^2-x^{-2}+C$.3 marks

(b) Perry jogs a distance $x$ kilometres in $t$ hours. The difference between his initial speed and his speed at time $t$ is proportional to distance covered. He starts at $5$ km/h and travels at $4$ km/h after $2$ km. Find the exact time for a $5$ km jog.6 marks