can you give me a correct answer for this exercise $8$

Exercise $8$

A water droplet with a radius R$=0\mathrm{.}12$mm falls into air at a temperature of $20$C$.$

a$)$properly establish the equation which gives the evolution of the speed over time b$)$determine the limiting speed of the droplet

c$)$determine the time it takes for the droplet to reach half of its maximum speed and the time to reach $99\%$of its maximum speed

d$)$determine the equation which gives the evolution of the position of the droplet over time $($there is only one dimension$)$

e$)$determine the distance travelled by the droplet to reach $99\%$of its maximum speed

f$)$calculate the work done by the force of gravity for the droplet to reach $99\%$of its maximum speed and the work dissipated by the force of friction