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Under what condition is a velocity versus time graph a straight line rather than a curve?

AWhen the acceleration is constant
BWhen the velocity is exactly zero
CWhen the displacement is exactly zero
DWhen the object never starts from rest
Answer & Solution
Correct answer: A. When the acceleration is constant
1. The slope of a velocity vs. time graph is the acceleration. 2. A straight line has one fixed slope everywhere along it. 3. So the graph is straight only while the acceleration stays constant, and curves whenever it changes. _Source: OpenStax Physics (CC BY 4.0), Ch 3 "Acceleration", section 3.2 Representing Acceleration with Equations and Graphs_
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