QUESTION 2 An armed paratrooper with ammunition weighing (mg) 200N jumps from a plane with zero...

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QUESTION 2 An armed paratrooper with ammunition weighing (mg) 200N jumps from a plane with zero initial velocity and gravitational acceleration, g is 9.8 meters per square second on the surface of the earth. We assume that the troopers encountered negligible side wind in their descending. However, they encounter an air resistance that is 15 times the descending velocity, v(t). Determine the following: (a) Derive the appropriate equation for the instantaneous descending velocity, v(t) if the equation that represent the fall of troopers is, dv(t) m =mg-cv(t) dt where m is the mass of falling body. (b) Estimate the velocity of the paratrooper after 10 minutes of fall. (20 Marks) QUESTION 2 An armed paratrooper with ammunition weighing (mg) 200N jumps from a plane with zero initial velocity and gravitational acceleration, g is 9.8 meters per square second on the surface of the earth. We assume that the troopers encountered negligible side wind in their descending. However, they encounter an air resistance that is 15 times the descending velocity, v(t). Determine the following: (a) Derive the appropriate equation for the instantaneous descending velocity, v(t) if the equation that represent the fall of troopers is, dv(t) m =mg-cv(t) dt where m is the mass of falling body. (b) Estimate the velocity of the paratrooper after 10 minutes of fall. (20 Marks)