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:

• v_f = a * t + v_i

Where: v_f = final velocity and v_i = 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.

Robert Bruce

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Courses

Spring 2016, CS-116B:

Greensheet

Lectures:

• A review of classical mechanics in physics
• Marching cubes algorithm
• Kinematics
• Particle systems
• Simulating cloth with gravity and wind
• Simulating cloth with gravity and collision detection

Assignments:

• Assignment 1: Marching Cubes
• Assignment 2: Particle explosion simulation
• Assignment 3: Rope simulation with gravity and collision detection
• Assignment 4: Cloth simulation with gravity
• Final assignment: Cloth simulation with gravity, wind, and collision detection

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