2 1. At time t = 0, a small stone is thrown vertically upwards with speed 14.7 m s−1 from a point A. At time t = T seconds, the stone passes through A, moving downwards. The stone is modelled as a particle moving freely under gravity throughout its motion. Using the model, (a) find the value of T, (2) (b) find the total distance travelled by the stone in the first 4 seconds of its motion. (4) (c) State one refinement that could be made to the model, apart from air resistance, that would make the model more realistic. (1) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________