Reading Motion from Graphs
Given a velocity graph v(t):
Where v > 0: particle moves right/up
Where v < 0: particle moves left/down
Where v = 0: particle momentarily stops
Where v changes sign: particle changes direction
Displacement = net area under v(t).
Area above x-axis is positive. Area below is negative.
Total distance = total area (all areas counted as positive).
Given an acceleration graph a(t):
Where a > 0 and v > 0: speeding up
Where a > 0 and v < 0: slowing down
Where a < 0 and v > 0: slowing down
Where a < 0 and v < 0: speeding up
AP exam: Graph-based motion questions are common. Practice reading all three graphs (s, v, a) and translating between them.
Reference:
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