Spring-damper system as PD controller

[Ry122]

Why is this a spring-damper system considered to behave like a PD controller?

The spring I am assuming would be the current error and so I guess the damper would provide information about the future error.

How does the damper provide information about what the error will be in the future?

 

[rude man]

Write the equation for the mass-spring-damper system. Look at the quantities the spring and the damping constants multiply, then look at the relationship between those two quantities.

Lastly, what do "P" and "D" stand for in "PD" controller? And, I don't think the word "future" is used very appropriately here. A better word might be "anticipation" ...