a.) An object of mass 1 kg, falls vertically down through the air near the surface of the earth. The object is subject t

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a.) An object of mass 1 kg, falls vertically down through theair near the surface of the earth. The object is subject to theregular force of gravity (g = 9.80655 m/s2) and a force of airresistance given by Fdrag = - bv2 where v is the object's speed andb is a constant coefficient. Using the Python script developed inthe lecture, determine the distance covered by the object in a timeinterval of 10 s, if it is released from rest and b = 0.0042 Ns2/m2. Use a time step of delta_t = 0.01 s.
b.)Still assuming release from rest, b = 0.0042 Ns2/m2 and timestep of delta_t = 0.01 s, what additional distance in meters wouldthe object have covered in 10 s, if there were no air resistance?(i.e., the distance that would be covered in free fall minus thedistance covered with air resistance).
c.) Assuming now that b = 0.0025 Ns2/m2 and the object is throwndownward with an initial speed of 15 m/s, determine the speed ofthe object 7.5 s after it is thrown down. Use the Python scriptdeveloped in the lecture with a time step of delta_t = 0.01 s.
d.) Still assuming that b = 0.0025 Ns2/m2 and the object isthrown downward with an initial speed of 15 m/s, by how much fasterwould the object be moving at 7.5 s if there were no airresistance? (i.e., what is the difference between the "free fallspeed" and the actual speed predicted with air resistance?). Findyour answer using the Python script developed in the lecture with atime step of delta_t = 0.01 s.