Question $1$: Falling in honey.

Write down the equation for the velocity of a ball falling in a bucket of honey. HINT: Write down Newton's law as a differential equation.

At what speed $($this is called terminal velocity$)$ does the acceleration vanish? Assume $b=5k\frac{g}{s}$;$m=5kg$

Question $2$: If a ball of mass $10$ kg is attached to a spring with constant $10\frac{N}{m}$ is put in honey with drag coefficient $b=10k\frac{g}{s}$ :

Which of the following graphs represents its motion