Say I have two points. I know the distance between those points. And let's say I have a bobbin that's starting at point A at a fixed speed of 100 jiggers/second
By point B, I want my bobbin to only be traveling 20 jiggers/second.
What equation can I use to figure out what rate of change of speed I would need to apply to my bobbin to slow it down to 20 jiggers/second?
How would I do it so that it eased into the new speed?
I apologize if this is poorly worded or an asininely easy question. I'm a game developer, and I'm not really sure how to ask this question in a Google-friendly fashion.
This is a basic kinematics problem, in which two things are known:
The distance between points: $d$
The initial and final velocities: $v_f=100$ j/s and $v_i=20$ j/s
To find the desired acceleration, use the equation:
$$v_f^2=v_i^2+2ad$$
Where $a$ is the acceleration.