2.Consider a motion under the action of a velocity-dependent force: a small objectfalling in the atmosphere from a height smaller than the Earth's radius so that boththe object's weight and the air density can be considered constant. There are twoforces acting on the object: the downward force of gravity and the upward force of airresistance. If we choose a coordinate system with y = 0 at the Earth's surface andincreasing upward, then the equation of motion of a falling object becomesdt= -gĵ – kõwhere k is constant.a. Solve the differential equation to determine the velocity as a function of time,i(t).b. Determine the position as a function of time, 7(t).c. Obtain the approximate equation of the path of the trajectory.

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Answered: 2. Consider a motion under the action…

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