Use acceleration forms and differential equations in rectilinear motion

Motion is along an oriented straight line. Position x is in metres, time t in seconds, velocity v=dx/dt in m/s and acceleration in m/s². Coefficients have the units required by their equations. Give exact values; logarithms are natural

The velocity–time graph consists of straight segments joining these labelled vertices in order; it is defined on the whole displayed interval

Use signed triangular areas and total time. Count only the interior reversal, not either endpoint at rest