Question: For the differential equation problem: Determine a differential equation for the velocity v(t) of a mass m sinking in water that imparts a resistance proportional

For the differential equation problem:

Determine a differential equation for the velocity v(t) of a mass m sinking in water that imparts a resistance proportional to the square of the instantaneous velocity and also exerts an upward buoyant force who's magnitude is given by Archimedes' principle (buoyancy, or upward force of the water on the object is equal to the weight of the water displaced) Assume positive direction is downward.

why is the diffEQ:

m(dv/dt)=mg-kv^2-pv

where did they get these variables?

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