The velocity of an object was measured using a laser radar gun. The following data were collected.


You decide to plot these velocity data and connect successive data points with lines, as in the following graph. This graph determines a function $v_{approx}(t)$ that approximates the actual velocity function $v_{actual}(t)$, which is unknown. By connecting data points with lines in the graph you are assuming that velocity is changing at a constant rate over one-second time intervals (or, equivalently, that acceleration is constant over one-second time intervals). This assumption may be incorrect because the actual rate of change of velocity may not be constant over one-second time intervals. However, you decide to use this graph anyway since it seems like a reasonable approximation to the actual velocity.


Using this graph, you can estimate the displacement of the object after $x$ seconds have elapsed by the value of the function

$$s(x) = \int_0^x v_{approx}(t) \, dt.$$
(A) Using the function $s(x)$, answer the following questions about how far the object traveled. Your answers must include the correct units.
Displacement after 6 seconds =
Total displacement =
Total distance traveled =

(B) From the graph above, indicate the time interval or union of time intervals where the object is moving forward, backward, and is stationary. Enter your answer using interval notation.
Forward:
Backward:
Stationary: