AP Physics C: Mechanics
1.3 Representing Motion
1.2 Displacement, Velocity, and Acceleration
A particle moves along the \(x\)-axis with velocity given by \(v(t) = c(t - t_1)(t - t_2)\), where \(c\), \(t_1\), and \(t_2\) are positive constants such that \(0 < t_1 < t_2\). Let \(t_m = \dfrac{t_1 + t_2}{2}\). Which row in the table correctly describes the behavior of the particle's speed during the interval \(t_1 < t < t_m\), its speed during the interval \(t_m < t < t_2\), and the change in its position \(x(t)\) during the interval \(t_m < t < t_2\)?
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