I met my new flatmate today, his name is Sherlock Holmes. He's kind of arrogant and long story short, we ended up chasing a taxi that contained who we believed to be a serial murderer. Even though we knew the taxi was going at about 6.7056 m/s, we were able to catch up to it when we were running at about 2.682 m/s. I'm not sure how much less distance we traveled in order to have caught up to that taxi, but I know that it took both of us about 95.2 seconds to reach the same point. Above is a map of the path of the taxi (red) and the path that Sherlock and I took to catch it (green).
If x= tv, and v=6.7056 m/s, and t = 95.2 s, so (6.7056)(95.2) = 638.37312 m for the car
then for Sherlock and I, v=2.682 m/s, and t= 95.2 s, so (2.682)(95.2) = 255.3264 for us
638.37312-255.3264 = 383.04672 m
We traveled about 383 meters less than the taxi to catch up to it! Amazing!
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