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Question: this is a question for differential equations can someone please...

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This is a question for differential equations. Can someone please solve this?
(up to 10 points) You can sketch direction field manually. If you use Maple or other software, you get 3 points extra credit. Consider a falling object with mass m. We will assume that only gravity and air resistance will act upon the object as it falls Below is a figure showing the forces that will act upon the object Assume that forces in the downward direction are positive, and forces in the upward direction are negative. So, a falling object has a positive velocity Fo is the force due to gravity and is given by Fo -g where g is the acceleration due to gravity. Use g-9.8 m/s or g- 32 f/s depending on whether we use the metric or British system FA is the force due to air resistance and we will assume that it is proportional to the velocity, v, of the mass. Therefore the foree due to air resistance is then given by FAy, wherey>0 Newtons Second Law ofmotion can be written as F(m) F(t,v dt and the velocity where Fitvy is the sum of forces that act on the object and may be a function of the time of the object, v. For our situation we will have two forces acting on the object gravity, F mg, acting in the downward direction and hence will be positive, and air resistance, -, acting in the upward dircction and hence will be ncgative. Putting all of this togcther into Newtons Second Law gives the following. dv dt To simplify the differential equation lets divide out the mass, m dv dt This is a first order linear differential equation. The solution will give the velocity, v (in m/s), of a falling object of mass m that has both gravity and air resistance acting on it. Lets assume that we have a mass of 3 kg and that y 0.6. Plugging this into (1) gives the differential equation dv 98-02 di I. Find and classify the critical point(s) for this equation 2. Use Maple or sketch direction field for this problem 3. Use Maple or sketch the solution if initial velocity is 25 meters per second. Describe how the behavior of velocity change? (Increasing/decreasing, what is v(t) approaching as time t approach infinity?) 4. For the initial velocity 58 m/s, describe the dynamics of velocity?
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