In the presence of air resistance for an object in free fall, the velocity is the solution of the
differential equation $\frac { d v } { d t } = g - k v$ where $g$ is the constant of acceleration due to earth's gravity and $k$ is a positive constant.(a) Find the solution for the equation that satisfies the initial value that $v ( 0 ) = 0$ .(b) As time, $t$ , increases without bound, what is the limiting velocity. (Note: the limiting velocity during free fall is called the terminal velocity.)
(c) Sketch your solution from part (a).

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The Answer of In the presence of air resistance for an object in free fall, the velocity is the solution of the
differential equation $\frac { d v } { d t } = g - k v$ where $g$ is the constant of acceleration due to earth's gravity and $k$ is a positive constant.(a) Find the solution for the equation that satisfies the initial value that $v ( 0 ) = 0$ .(b) As time, $t$ , increases without bound, what is the limiting velocity. (Note: the limiting velocity during free fall is called the terminal velocity.)
(c) Sketch your solution from part (a).

In the Presence of Air Resistance for an Object in Free