Take the equations derivative. V y c2t v y 2ct. Now that you have the formula for velocity you can find the instantaneous velocity at any point.
DSdT is the derivative of displacement vector S with respect to T.
At t 40 s the vertical instantaneous velocity is. For an example suppose one is given a distance function x f t and one wishes to find the instantaneous velocity or rate of change of distance at the point p0 t0f t0 it helps to first examine another nearby point p1 t0 af t0 a where a is some arbitrarily small constant. If we determine the instantaneous change in angle dth and divide it by the instantaneous change in time dt we get the instantaneous angular velocity do. As we know that the average velocity for a given time interval is total displacement divided by the total time.