Solve the problem.
-A model that describes the free fall of an object in a gravitational field subject to air resistance uses the equation where v(t) is the velocity of the object, for is the acceleration due to gravity, and b > 0 is a constant that involve the mass of the object and the air resistance. Let b = 0.2s^-1 For what initial values v(0) = A are solutions increasing? decreasing? What is the equilibrium solution?

Question

Solve the problem. -A model that describes the free fall of an object in a gravitational field subject to air resistance uses the equation where v(t) is the velocity of the object, for is the acceleration due to gravity, and b > 0 is a constant that involve the mass of the object and the air resistance. Let b = 0.2s -1 For what initial values v(0) = A are solutions increasing? decreasing? What is the equilibrium solution? A) increasing for A < 49 and decreasing for A > 49; v(t) = 49 B) increasing for A < 49 and decreasing for A > 49; v(t) = 0 C) increasing for A > 49 and decreasing for A < 49; v(t) = 49 D) increasing for A > 49 and decreasing for A < 49; v(t) = 0

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The Answer of Solve the problem. -A model that describes the free fall of an object in a gravitational field subject to air resistance uses the equation where v(t) is the velocity of the object, for is the acceleration due to gravity, and b > 0 is a constant that involve the mass of the object and the air resistance. Let b = 0.2s -1 For what initial values v(0) = A are solutions increasing? decreasing? What is the equilibrium solution? A) increasing for A < 49 and decreasing for A > 49; v(t) = 49 B) increasing for A < 49 and decreasing for A > 49; v(t) = 0 C) increasing for A > 49 and decreasing for A < 49; v(t) = 49 D) increasing for A > 49 and decreasing for A < 49; v(t) = 0

Solve the Problem. -A Model That Describes the Free Fall of an Object