The slope of a tangent line at a given time value on a position versus time graph gives
A) displacement.
B) instantaneous velocity.
C) average velocity.
D) instantaneous acceleration.
E) average acceleration

Question

Quizplus · Accepted Answer

The slope of a tangent line on a position versus time graph represents the rate of change of position, which is velocity. And since it is the slope at a specific point in time, it is therefore instantaneous velocity. The other choices are not correct because they are either not related to slope or do not accurately represent the information provided by a tangent line on a position versus time graph.

The Slope of a Tangent Line at a Given Time