Warehouse trolley safety buffer

A powered trolley travels in a straight line from loading point \(A\) towards a safety barrier at \(C\). It passes sensor \(B\) after \(4\) seconds. During this first stage, its velocity is \(v=10-t\text{ m s}^{-1}\). The barrier is \(9\) metres beyond \(B\). As soon as the trolley passes \(B\), emergency braking begins; \(T\) seconds later its acceleration is \(-3T\text{ m s}^{-2}\).

1. Find the distance \(AB\) and the speed of the trolley as it passes \(B\).[3]
2. Find the time taken after passing \(B\) for the trolley to stop.[2]
3. Determine whether the trolley reaches the barrier. If it does not, find the distance between the trolley and the barrier when it stops.[3]