Studying functions and their derivatives might seem somewhat abstract. However, consider this passage from a physics book: {{CMD_7}} Assuming acceleration {{MATH_8}} is constant, we may write velocity and position as {{ENV_9}} where {{MATH_10}} is the (constant) acceleration, {{MATH_11}} is the velocity at time zero, and {{MATH_12}} is the position at time zero. {{CMD_13}} These equations model the position and velocity of any object with constant acceleration. In particular these equations can be used to model the motion of a falling object, since the acceleration due to gravity is constant.