Instantaneous velocity is a continuous function of time and gives the velocity at any point in time during a particles motion. When calculating instantaneous velocity we need to specify the explicit form of the position function x t x t. Instantaneous velocity is a kind of velocity when an object travels in a given path at a constant velocity.
Velocity is the rate of change of position over time so its the derivative of the function.
After inserting these expressions into the equation for the average velocity and taking the limit as Dt 0 we find the expression for the instantaneous velocity. Taking its first derivative you get the equation for velocity. T 2 Final time. To get an objects instantaneous velocity first we.