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 
is a constant that involve the mass of the object and the air resistance. Let
src="https://sciemce.com/media/4/ppg__wesa0610191635__f1q76g5.jpg" alt="" style="vertical-align: -4.0px;" /> For what initial values 
are solutions increasing? decreasing? What is the equilibrium solution?
A. increasing for A < 19.6 and decreasing for A > 19.6; v(t) = 19.6
B. increasing for A > 19.6 and decreasing for A < 19.6; v(t) = 0
C. increasing for A < 19.6 and decreasing for A > 19.6; v(t) = 0
D. increasing for A > 19.6 and decreasing for A < 19.6; v(t) = 19.6
Answer: A
Mathematics
src="https://sciemce.com/media/4/ppg__wesa0610191635__f1q76g5.jpg" alt="" style="vertical-align: -4.0px;" /> For what initial values are solutions increasing? decreasing? What is the equilibrium solution?
A. increasing for A < 19.6 and decreasing for A > 19.6; v(t) = 19.6
B. increasing for A > 19.6 and decreasing for A < 19.6; v(t) = 0
C. increasing for A < 19.6 and decreasing for A > 19.6; v(t) = 0
D. increasing for A > 19.6 and decreasing for A < 19.6; v(t) = 19.6
Answer: A
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