4. At time \(t = 0\), a small ball is projected vertically upwards from a point \(A\) which is 24.5 m above the ground. The ball first comes to instantaneous rest at the point \(B\), where \(A B = 19.6 \mathrm {~m}\) and first hits the ground at time \(t = T\) seconds.
The ball is modelled as a particle moving freely under gravity.
- Find the value of \(T\).
- Sketch a speed-time graph for the motion of the ball from \(t = 0\) to \(t = T\) seconds.
(No further calculations are needed in order to draw this sketch.)