###### Answer: C. the one going horizontal

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:

The velocity of an object is the rate of change of its position with respect to a frame of reference and is a function of time . Velocity is equivalent to a specification of an object’s speed and direction of motion (e.g. 60 km/h to the north). Velocity is a fundamental concept in kinematics the branch of classical mechanics that describes the motion of bodies.

Description: Example of a velocity vs . time graph and the relationship between velocity v displacement s and acceleration a. Traced in Inkscape from an original drawn in Paint.: Date: 25 February 2…