A student drives a moped along a straight road as described by the velocity versus time graph in the figure. The divisions along the horizontal axis represent 1.0s and the divisions along the vertical axis represent 2.0 m/s. Sketch this graph in the middle of a sheet of graph paper. (Do this on paper. You will need it to do part (a) and (b).)
(a) Directly above your graph, sketch a graph of the position versus time, aligning the time coordinates of the two graphs. (Do this on paper. Your instructor may ask you to turn in your work.)
(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 r and a, for all points of inflection. (Do this on paper. Your instructor may ask you to turn in your work.)
(c) What is the acceleration at t = 6.0 s?
(d) Find the position (relative to the starting point) at t = 6.0 s.
(e) What is the moped's final position at t = 9.0 s?