Problem $2.$ Let assume that when you jump out of an airplane, the distance you travel $d$ is

dependent on acceleration due to gravity $g,$ time $t,$ and viscosity of the air $.$

a$)(4$ pt$.)$ Construct a variable matrix to determine how many dimensionless numbers

define your fall.

b$)(4$ pt$.)$ Use Buckingham method to develop a dimensionless number that relates $d$ to the

other variables

c$)(2$ pt$.)$ Is there any variable that we assumed to be important that ended up not being

included in the dimensional analysis? Propose a conceptual reason for why that is the

case.