Animation often starts with real physics, but the most memorable cartoon motion usually bends the rules. Disney animators learned that perfectly accurate motion can look stiff, small, or hard to read on screen. Physics cheats such as squash and stretch, anticipation, and follow-through help the audience feel weight, speed, and emotion.
These tricks do not ignore physics completely, they exaggerate the parts our eyes and brains notice most.
Key Facts
- Real projectile motion near Earth follows y = y0 + v0y t - 0.5 g t^2, where g = 9.8 m/s^2.
- Horizontal projectile motion with no air resistance follows x = x0 + v0x t.
- Squash and stretch suggests impact and speed while often keeping volume roughly constant.
- Anticipation prepares the viewer for an action by moving slightly opposite the main motion first.
- Follow-through means loose parts keep moving after the main body stops because of inertia.
- At 24 frames per second, 1 frame lasts 1/24 s, so timing choices strongly affect perceived speed.
Vocabulary
- Squash and stretch
- A technique that changes a character's shape during motion to show weight, impact, flexibility, or speed.
- Anticipation
- A preparatory motion that signals what action is about to happen and makes the action easier to read.
- Follow-through
- The continued motion of body parts, clothing, hair, or props after the main body has stopped or changed direction.
- Motion arc
- The curved path followed by a moving object or body part, often used to make animation look smooth and natural.
- Frame rate
- The number of individual images shown each second, which controls how motion is timed and perceived.
Common Mistakes to Avoid
- Making motion perfectly realistic every time: this can look dull because the audience may not notice small physical details quickly enough.
- Stretching a character without preserving volume: this makes the object seem to grow or shrink instead of acting flexible or elastic.
- Skipping anticipation before a big action: this makes jumps, punches, and reactions feel sudden and hard to understand.
- Using straight-line motion for organic actions: arms, heads, and bouncing bodies usually read better when they follow curved arcs.
Practice Questions
- 1 A bouncing ball is animated at 24 frames per second and takes 12 frames to rise from the ground to the top of its jump. How many seconds does the upward motion take?
- 2 A character jumps with an initial vertical speed of 4.9 m/s. Using g = 9.8 m/s^2, how long does it take to reach the top of the jump?
- 3 A real ball and an animated ball follow the same path, but the animated ball squashes on impact, stretches during fast motion, and pauses for 2 frames before launching upward. Explain why the animated version may feel more exciting and easier to read even though it is less physically accurate.