Terminal velocity!

Calculus Level 2

An object falling from rest in air is subject not only to gravitational force but also to air resistance. Assume air resistance is proportional to the velocity with constant of proportionality as \(k\)>0, and acts in a direction opposite to motion. If the velocity cannot exceed \(A\) m/s then, what is the value of \(10Ak\) ? (Take \(g=9.8\) m/s\(^2\))

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