Consider an athlete running a 40 m dash. The position of the athlete is given by the following equation, where d is the position in meters and t is the time elapsed, measured in seconds. d() t3 2 t =_+ t 6 (a) Compute the average velocity (in m/s) of the runner over the given time intervals. (Round your answers to seven decimal places.) (i) [1.95, 2.05] K m/s (ii) [1.995, 2.005] x m/s (iii) [1.9995, 2.0005] m/s (iv) [1.99999, 2.00001] m/s