# How can instantaneous velocity be found from a displacement-time graph?

##### 1 Answer

Sep 2, 2014

*In a graph of displacement vs. time (that is, a function #x(t)#, where #x# is displacement and #t# is time), assuming the function is continuous and differentiable throughout, instantaneous velocity at any point can be found by taking the derivative of the function with respect to #t# at that point.*

A similar question was asked and answered here: http://socratic.org/questions/how-do-you-find-instantaneous-velocity-from-a-position-vs-time-graph? Simply substitute "displacement" for any mentions of "position" or "time."