# Why is work done in vector fields the integral of the dot product of force and velocity wrt time?

I’ve recently started on a course on engineering calculus and I was wondering why work done is calculated as the integral of the dot product of force vector and derivative of the position vector wrt time. I recall in physics, the work done is derived from the product of force and change in distance but in this case, it’s a product of force and displacement assuming Riemann-sum.

• – invjac Sep 5 '20 at 16:16