A few days ago while riding my bike I was involved in a spirited exchange of opinions with a gentleman in a motor vehicle. After said exchange he attempted to run me off the road, and got out of his car, presumably with intent to assault me. Despite the surge of adrenaline I declined to engage in fisticuffs, dodged around him, and rode off into the sunset. I may have been laughing and communicating further with sign language. It’s hard to recall.
I thought I’d apply some year 11 physics to see what all the fuss was about. I was in the middle of the road, preparing to turn right at a T-junction (this is Australia remember). While his motivations were unclear, his vehicle didn’t look like an ambulance. I am assuming he as not an organ-courier, and that there probably wasn’t a live heart beating in an icebox on the front seat as he raced to the transplant recipient. Rather, I am guessing he objected to me being in that position, as that impeded his ability to travel at full speed.
The street in question is 140m long. Our paths crossed half way along at the 70m point, with him traveling at the legal limit of 14 m/s, and me a sedate 5 m/s.
Lets say he intended to brake sharply 10m before the T junction, so he could maintain 14 m/s for at most 60m. His optimal journey duration was therefore 4 seconds. My monopolization of the taxpayer funded side-street meant he was forced to endure a 12 second journey. The 8 second difference must have seemed like eternity, no wonder he was angry, prepared to risk physical injury and an assault charge!