You are experienced at making distance/time graphs AND using them to find the speed of a moving object at different times.  You know how to put tangent lines on graphs and find the slopes of these lines.

GO LOOK AGAIN at this graph I showed you earlier.

I used the tangent line method to get speeds at 2,4,6,8,10,12,14,16, and 18 seconds.

Here are the results I got.  (yours could differ slightly, let's face it; we could all draw the lines a little differently)
 

Now, what on Earth could we use these results for?   We can make another graph.

Here's how mine turned out.  You should notice several parts of this graph...
FROM 0 to 2 seconds, the object speeds up from zero to about half a block per second.
FROM 2 to 8 seconds, the object maintains that speed (.5 b/s)
FROM 8 to 14 seconds, the object speeds up from .5 to almost 2 b/s.
FROM 14 to 14 seconds, the object slows down to about .7 b/s.
Get out your old graph assignment (the one we did in class together yesterday).  Use tangent lines to get speeds every even numbered second (0,2,4,6...) NEXT create a v/t graph with this data.

Click here, login and do the Multiple Choice Homework called "graphs".