2) This question asks us to pick the best graph for the object's acceleration(a) vs. time(t). In order to do so, we can take the derivative, or the slope(m), of the given velocity(v) graph. This means that we can use the slope from our velocity graph as the y-values for our acceleration graph.
On this graph we can take the key points and just assign approximation values to give us a clue about what the graph should look like.
From here we can see the the slope(m) of the graph is positive and constant in the 1st half, and it is negative and increasing during the second half. Now if we plot these slope point it should look like this...
Both the conditions are satisfied by this graph so our answer should look like the graph above.
Answer: D
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