The model of drag forces studied in the course describes the motion…

  

The model of drag forces studied in the course describes the motion… The model of drag forces studied in the course describes the motion of an object that falls from rest under the influence of gravity and air resistance, through an acceleration that depends on time according to a (t) = g − α [v (t)]^2, where v (t) is the object’s speed at time t, α is a constant that depends on the object’s mass and geometry, and down has been selected as the positive direction.(a) What is the relationship between α and the drag constants in D=1/2CρAv^2?(b) Find an expression for the speed of the object at an arbitrary time t after release, in terms only of g, α, and t.(c) Show that in the formal limit as t → ∞, the speed of the object found in the previous part is indeed the terminal speed derived in the textbook in the form of Vt=sqrt(2Fg/CρA). Science Physics

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