"VELOCITY OF A MOTORCYCLE The distance s space(in feet) covered by a motorcycle traveling in a straight line and starting from rest in t spacesec is given by the function s left parenthesis t right parenthesis equals negative 0.1 t cubed plus 2 t squared plus 24 t space space space space space left parenthesis 0 less or equal than t less or equal than 3 right parenthesis Calculate the motorcycle’s average velocity over the time interval space left square bracket 2 comma space 2 plus h right square bracket spacefor h equals 1 comma space 0.1 comma space 0.01 comma space 0.001 comma space 0.0001 comma and 0.00001, and use your results to guess at the motorcycle’s instantaneous velocity at t equals 2."
