1. At time \(t = 0\), a small stone is thrown vertically upwards with speed \(14.7 \mathrm {~ms} ^ { - 1 }\) 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,

1. find the value of \(T\),
2. find the total distance travelled by the stone in the first 4 seconds of its motion.
3. State one refinement that could be made to the model, apart from air resistance, that would make the model more realistic.