1.1. A bus driver drives with a constant acceleration of 6.0 m s^–2. After 3.0 seconds, they slow down to stop at a set of traffic lights at 5.0 m s^–2. 

Given that the bus initially travelled at 4.0 m s^–1 and that the bus fully stops at the traffic lights, calculate the distance between the traffic lights and the point where the bus began to accelerate. 

In this question, assume that air resistance is negligible.

1.2. Figure 1

Draw the velocity­–time graph for the motion of the bus on Figure 1.

1.3. Figure 2

Sketch the displacement–time and acceleration­–time graphs in Figure 2 for the bus. Label the axes appropriately and the graphs do not have to be to scale.