Physics
Physics
Problem
For an object in free fall, what physical quantity is represented by the slope of its velocity–time graph? a) Instantaneous velocity b) Acceleration due to gravity c) Force acting on the object (its weight) d) Displacement of the objectIntuitive explanation
The slope of any graph tells you how fast one quantity is changing with respect to another. On a velocity–time graph, the slope shows how velocity changes over time—which is exactly the definition of acceleration. For free fall, this slope is constant and equals , the gravitational acceleration, revealing why all falling objects accelerate at the same rate regardless of their mass.
Intuitive explanation
The slope of any graph tells you how fast one quantity is changing with respect to another. On a velocity–time graph, the slope shows how velocity changes over time—which is exactly the definition of acceleration. For free fall, this slope is constant and equals , the gravitational acceleration, revealing why all falling objects accelerate at the same rate regardless of their mass.