Serway & Jewett — Motion in One Dimension: Problem 32

A student drives a moped along a straight road as described by the velocity–time graph in Figure P2.32. Sketch this graph in the middle of a sheet of graph paper. (a) Directly above your graph, sketch a graph of the position versus time, aligning the time coordinates of the two graphs. (b) Sketch a graph of the acceleration versus time directly below the velocity–time graph, again aligning the time coordinates. On each graph, show the numerical values of \(x\) and \(a_x\) for all points of inflection. (c) What is the acceleration at \(t = 6.00 \text{ s}\)? (d) Find the position (relative to the starting point) at \(t = 6.00 \text{ s}\). (e) What is the moped’s final position at \(t = 9.00 \text{ s}\)?