To find a general expression for the rockets velocity as a function of time we have to use the equation of Instantaneous velocity. As the interval over which an average speed is measured becomes shorter and shorter so this speed becomes closer and closer to the instantaneous speed. DSdT is the derivative of displacement vector S with respect to T.
What will be the instantaneous speed at t 300 s.
As the interval over which an average speed is measured becomes shorter and shorter so this speed becomes closer and closer to the instantaneous speed. We can calculate the instantaneous velocity at a specific time by taking the derivative of the position function which gives us the functional form of instantaneous velocity v t. Its the speed right now. Here x bt2.