Question below as would not fit in here

A parachutist jumps out of a plane at height h. She is subject to air resis- tance with a force of −αv2. The equation of her motion is given bymdv/dt =mg−αv^2 What are the units of α?Calculate the terminal velocity of the parachutist.Estimate how much work is done by the air resistance as she falls, assumingthat she is falling at near terminal velocity by the time she reaches the ground.
-Answer-
i all units in equation have to be consistent. units of mg are kgms^-2 therefore so are av^2. units of v^2 are m^2s^-2 therefore a is kg/m.ii terminal velocity when dv/dt=0, sub into equation and rearrange so v= sqrt(mg/a) (yields correct units so confident correct)iii students know work=FxD, F=av^2, if assume h is very large and she approaches terminal velocity very quickly initially, F=a(sqrt(mg/a))^2=mg, therefore w=mgh, if assumptions are valid.