# [Answer] Based on the position vs. time graph which velocity vs. time graph would correspond to the data?

###### Answer: C. the one going horizontal
Based on the position vs. time graph which velocity vs. time graph would correspond to the data?

In mechanics the derivative of the position vs . time graph of an object is equal to the velocity of the object. In the International System of Units the position of the moving object is measured in meters relative to the origin while the time is measured in seconds.Placing position on the y-axis and time on the x-axis the slope of the curve is given by:

Absement changes as an object remains displaced and stays constant as the object resides at the initial position . It is the first time -integral of the displacement (i.e. absement is the area under a displacement vs . time graph ) so the displacement is the rate of change (first time -derivative) of the absement.

The last expression is the second derivative of position (x) with respect to time . On the graph of a function the second derivative corresponds to the curvature or concavity of the graph . The graph of a function with a positive second derivative is upwardly concave while the graph of a function with a negative second derivative curves in the …

Motion graphs and derivatives – Wikipedia

Motion graphs and derivatives – Wikipedia …