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AP Physics C: Mechanics
2.9 Resistive Forces
AdvancedMCQMathematical23.2k
A small sphere labeled m moving vertically upward with an upward velocity vector labeled v_0. Two downward force vectors originate from the center of the sphere: one labeled mg pointing straight down, and another labeled F_d = bv pointing straight down. A vertical coordinate axis points upward with y = 0 at the launch level and y_max at the peak. No other labels, lines, text, or axes appear.
Object projected vertically upward with linear drag.
An object of mass \(m\) is launched vertically upward from ground level with an initial speed \(v_0\). As the object ascends, it experiences a downward drag force of magnitude \(F_d = bv\), where \(b\) is a positive constant and \(v\) is the speed of the object. Acceleration due to gravity is \(g\). Which of the following expressions gives the maximum height \(y_{\text{max}}\)

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