Question

Solve & Explain Steps Please.

6. Consider the problem of a free falling object with mass M. Assume that only gravity and air resistance act upon the object. (a) As a first model, let us suppose that the air resistance is proportional to the velocity v(t) of the object. Newton's second law of motion gives the DE M)go),20 More exactly, this is a first order linear DE with constant coefficients: Mw,(t) + ku(t) = Mg , t 2). Suppose that 2 objects with mass Mi 10 kg and M2 20kg are released from an altitude of 3000 meters with initial vertical velocity 0. Suppose that the constant k 0.5 for both objects. Answer the following questions: (i) Calculate the velocities vi(t) and v2(t) of the two objects. (ii) What are their terminal (highest) velocities? (ii) Which object is falling faster? (iv) What are their speeds after 5 seconds?

Answer 1

녀 Se ·ヒ 10 う) 39

Thesinal vwlecy