Beginning Math and Physics for Game Programmers

Chapter 9, “Derivative Approach to Motion in One Dimension”

Average Velocity

equals the slope between two points on position v. Time graph for any time interval a ≤ t ≤ b.

Instantaneous Velocity

at t = a for any function f(t) that gives position as a function of time.

Instantaneous Velocity

v = f'(t)

for any position equation that's a function of time, f(t).

Average Acceleration

equals the slope between two points on velocity v. Time graph for any ...