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AP Physics C: Mechanics
2.9 Resistive Forces
2.5 Newton’s Second Law
AdvancedMCQGraphicalMathematicalConceptual14.4k
A schematic diagram showing a small rectangular block of mass labeled \(m\) on a flat horizontal track. A horizontal coordinate axis labeled \(x\) extends to the right along the track, with a vertical tick mark marking the origin labeled \(0\). To the right of \(x = 0\), a rectangular region of fluid is indicated with light uniform stippling. The block is located at \(x = 0\) moving to the right. A single horizontal arrow labeled \(v_0\) extends to the right from the center of the block. No other labels, lines, vectors, or symbols appear.
A block entering a viscous fluid at \(x = 0\) with initial velocity \(v_0\).
A block of mass \(m\) slides along a horizontal frictionless track and enters a medium containing a viscous fluid at time \(t = 0\) and position \(x = 0\) with an initial velocity \(v_0\) directed in the \(+x\)-direction.

Within the fluid, the block experiences a resistive drag force given by \(\vec{F} = -b\vec{v}\), where \(b\) is a positive constant and \(\vec{v}\) is the instantaneous velocity of the block.

Which of the following graphs best represents the horizontal acceleration \(a_x\) of the block as a function of its position \(x\) from \(x = 0\) until the block comes to rest?

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