Kinematics
CS-116B: Graphics Algorithms
Instructor: Rob Bruce
Spring 2016

SLIDE 1: Kinematics

What is kinematics?

  • The geometry of motion.
  • Kinematics focuses on position, velocity, and acceleration of rigid bodies.

SLIDE 2: Kinematics

s = (1/2) * a * t2

ds/dt = v = (1/2) * a * (d/dt)t2

v = (1/2) * a * 2 * t

v = a * t (for solid bodies with initial velocity of 0).

A more general formula for velocity (v) is as follows:

  • vf = a * t + vi

Where: vf = final velocity and vi = initial velocity

SLIDE 3: Kinematics

dv/dt = d2s/dt = (1/2) * a * (d2/dt)t2

dv/dt = (1/2) * a * 2

dv/dt = a

The change in velocity over time is acceleration!

SLIDE 4: Kinematics

Since acceleration is constant (a = 0) for the particle explosion assignment, we will be using the equation s = v * t. Distance equals velocity multiplied by time.