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AP Physics C: Mechanics
4.2 Change in Momentum and Impulse
AdvancedMCQMathematicalConceptual18.5k
A Cartesian coordinate plane with horizontal axis labeled t and vertical axis labeled F. The axes meet at an origin labeled 0. Along the horizontal axis, two distinct positive time values are marked with tick marks labeled t_1 and t_2, with t_2 > t_1. A smooth solid curve begins on the positive vertical axis at t = 0, slopes downward to intersect the horizontal axis at t_1, reaches a smooth local minimum below the horizontal axis between t_1 and t_2, and continues below the horizontal axis past t_2. The region bounded between the curve and the horizontal axis from t = 0 to t_1 has a light gray fill. The region bounded between the curve and the horizontal axis from t_1 to t_2 has an identical light gray fill. No other labels, lines, text, or axes appear.
Net force \(F\) as a function of time \(t\) acting on the particle.
A particle of mass \(m\) is initially at rest at position \(x = 0\) at time \(t = 0\). A net force \(F(t)\) directed along the \(x\)-axis acts on the particle as shown in the graph. The curve crosses the time axis at \(t_1\), and the region bounded by the curve above the time axis on the interval \([0, t_1]\) has an area equal in magnitude to the region below the time axis on the interval \([t_1, t_2]\). Which of the following statements correctly describes the motion of the particle?

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