Please explain how to find instantaneous velocity ....with example

1.	Please explain how to find instantaneous velocity ....with example
Answer» Easy way to find out instantaneous velocity is to do differentiation of dispacement witch respect to time that is:V=dx/dt Instantaneous velocity is a useful tool to determine velocity at any point or any time for a body in non uniform motion.For example, average velocity in a fixed time interval is given by, = Δχ/Δt where Δχ is the distance covered in time interval Δt.When Δt becomes infinitesimaly small,it gives the instantaneous velocity.Or, v = limΔt->0 Δχ/Δt = dx/dt by language of calculus.Now, let the displacement of a body with respect to time is given by x = t^2+2t+1.To determine the velocity at 4s, we have to determine the value of the deriviative of x w.r.t. t at t=4.Or,v(4)= [d(t^2+2t+1)/dt ]_4=[2t+2]_4 =10 m/s. Sorry it will be dx /dt By differentiating the function of positionEg- let x = 4t^2+3t+4 then velocity = dy/dx(4t^2+3t+4) = 8t+3. And time will be most probably provided in the question.

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