a bird is flying due east, it distance from a tall building is given by x(t) = 28m +(12.4m/s)t + (0.045 m/s^3)t^3. what is the instantaneous velocity of the bird at t = 8s
The instantaneous velocity is how the position is changing with respect to time in a specific point in time, as opposed to the average value given by Delta(x)/Delta(t). It's given by taking a limit of Delta(x)/Delta(t) where t approaches 0, that is, by derivating x(t) in respect to t.
