- #1

nabeel17

- 57

- 1

(a) Calculate the action S for the actual path of the mass point in the time interval

[0, T] and for the boundary conditions x(0) = 0 and x(T) = d.

I said the Lagrangian was just equal to L=1/2mv^2. I'm not sure if my reasoning for this is correct (I may have a conceptual error) but since there is no force acting on it, the potential is 0 (or a constant but it can be set to 0?)

so the action integral is S=∫1/2mv^2dt where the limits are 0-T

I'm not sure how to integrate v^2 with respect to t. Even if my approach is wrong, I would still like to know how that integral is done