A position against time graph is a curve whose slope becomes steadily steeper. What does this describe?
AA velocity that reverses direction midway
BA velocity that is decreasing over time
CA velocity that stays the same throughout
DA velocity that is increasing over time
Answer & Solution
Correct answer: D. A velocity that is increasing over time
1. The slope of a position against time graph is the velocity at that point.
2. A slope that becomes steeper therefore means a velocity that is growing.
3. So the graph describes an object speeding up rather than slowing down.
4. A constant velocity would give a straight line rather than a curve.
5. A reversal of direction would show up as a slope changing sign, which is not the case here.
_Source: OpenStax College Physics (CC BY 4.0), Ch 2 "Kinematics", section 2.8 Graphical Analysis of One-Dimensional Motion_
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