Greatest Speed from Position-Time Graph · PhysicsBowl 2016 #2

Physics · mechanics

Problem

The position vs. time graph of an object moving on a horizontal line is shown. At what time(s) is the object moving with its greatest speed? (A) At time t=3.0st = 3.0 s only (B) At time t=3.5st = 3.5 s only (C) At times t=3.5st = 3.5 s and t=9.0st = 9.0 s (D) At time t=7.0st = 7.0 s only (E) At time t=9.0st = 9.0 s only [Figure: Position vs. time graph with various slopes and curves]

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