Animation with Initial Velocity

Posted by abustin on Stack Overflow See other posts from Stack Overflow or by abustin
Published on 2010-04-01T00:43:23Z Indexed on 2010/04/01 0:53 UTC
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Filed under:

math

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animation

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physics

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actionscript

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JavaScript

I've been trying to solve this problem for a number of days now but I must be missing something.

Known Variables:
vi = Initial Velocity
t = Animation Duration
d = Distance

The function I'm trying to create: D(t) = the current distance for a given time

Using this information I want to be able to create a smooth animation curve with varying velocity (ease-in/ease-out).

The animation must be able ease-in from an initial velocity.

The animation must be exactly t seconds and must be travel exactly d units.

The curve should lean towards the average velocity with acceleration occurring at the beginning and the end portions of the curve.

I'm open to extra configuration variables.

The best I've been able to come up with is something that doesn't factor in the initial velocity. I'm hoping someone smarter can help me out. ;)

Thank you!

p.s. I'm working with an ECMAScript variant

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