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Answer:
A and B
Explanation:
Speed is the change in distance divided by the change in time. That is, it is the slope of the distance vs. time curve. A steeper slope corresponds to a greater speed.
Between A and B, the slope is (30-0)/(1-0) meters/time-unit = 30 m/u.
Between B and C, the slope is (30-10)/(4-1) = 20/3 = 6 2/3 m/u.
Between C and D, the slope is 0.
Between D and F, the slope is (50-10)/(10-6) = 40/4 = 10 m/u.
The greatest slope is between A and B.
The object has the greatest speed between points A and B.