An autonomous Heavy Goods Vehicle (HGV) is travelling at a constant speed of 24 m s-1 when its onboard hazard-detection system registers an obstacle on the road at time t=0.0 st = 0.0\text{ s}t=0.0 s.
The speed-time graph below shows the subsequent motion of the HGV.
At t=0.5 st = 0.5\text{ s}t=0.5 s, after a processing latency, the emergency braking system engages, decelerating the HGV at a constant rate until it comes to a complete stop at t=4.1 st = 4.1\text{ s}t=4.1 s.
What is the total stopping distance of the HGV?
43.2 m43.2\text{ m}43.2 m
55.2 m55.2\text{ m}55.2 m
12.0 m12.0\text{ m}12.0 m
49.2 m49.2\text{ m}49.2 m