What physical quantity is given by the slope of a graph of position against time?
AThe acceleration of the object
BThe distance travelled so far
CThe velocity of the object
DThe elapsed time of the motion
Answer & Solution
Correct answer: C. The velocity of the object
1. Slope is the rise divided by the run of a straight line.
2. On a position against time graph the rise is a change in position and the run is a change in time.
3. A change in position divided by a change in time is velocity.
4. Acceleration comes from the slope of a velocity against time graph instead.
_Source: OpenStax College Physics (CC BY 4.0), Ch 2 "Kinematics", section 2.8 Graphical Analysis of One-Dimensional Motion_
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