Part 3 .' Mastery - using equations for air resistance Let's use the following model for the air resistance Fm = ; 9440112 Where : . p is the density of air (in kg/m3) . A is the cross sectional area of the object (m2) . C is a drag coefcient that depends on the shape of the object 1. The '/2 , the "p", "A", and "C" are all considered constants that depend on what is falling .The important thing to notice immediately is that the Force of air resistance depends on the square of the velocity . If the velocity is zero , F _ = _ N. If the velocity doubles , F _ will increase by . air air 2. Let's assume that Bahog will fall the same way that Gandalf will . Furthermore ,let's assume that Gandalt's mass is 70kg .If we re-write our equation for Fw, by collapsing all of our constants down to one constant , k, we get F _ = In?\" where k = 3. Themslope of a velocity -time graph is equivalent to the object's acceleration .What is the slope of the graph aer 105'? .Explain why this is by constructing a 'ee -body diagram of our falling mass at this point .Make sure that the forces you include are drawn roughly to scale. Determine the equation of motion for this point of the fall. Free -Boa'y Diagram Equation of motion .' 4. The equation of motion above occurs at a terminal velocity of 54.5 m/s. Use your equation to determine the value of our unknown constant , k (include units ) Calculate the value of k