alleryStart learning →What physical quantity is given by the slope of a graph of velocity against time?
AThe displacement of the object
BThe average speed of the object
CThe initial position of the object
DThe acceleration of the object
Answer & Solution
Correct answer: D. The acceleration of the object
1. On a velocity against time graph the rise is a change in velocity and the run is a change in time.
2. A change in velocity divided by a change in time is acceleration.
3. So the slope of a velocity against time graph is the acceleration.
4. A straight line on such a graph therefore signals a constant acceleration.
_Source: OpenStax College Physics (CC BY 4.0), Ch 2 "Kinematics", section 2.8 Graphical Analysis of One-Dimensional Motion_
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