Originally Posted by

**otownsend** Okay thanks for responding. Your response generally makes sense.

I get why "ds/dt" represents the derivative function that is equal to velocity, however, why would you replace the variable "s" with "ds/dt"? I know that based on the chain rule, that an operation needs to be done on the variable "s", but I don't particularly understand why "ds/dt" is what you replace it with.

Does it follow the same principal when we do implicit differentiation? Like if there is a variable "y" within the function, that the derivative of "y" would be "dy/dx". I'm pretty sure that you follow the same principal, but I just want to make sure.