## Speeding Teenager Answer

February 8, 2011 by John Scammell

A possible solution to the teenager problem.

1980 feet in 30 seconds happens to work out to precisely 45 miles an hour. Some kids may stop there and say he wasn’t speeding. Ask them if it’s reasonable to assume that the red light turned green the second the first ping went out, and that Shaun was instantly traveling at 45 mph from that moment on.

Then they can explore further.

According to Car Specifications Directory, a 2000 Toyota Celica GT-S takes 10.6 seconds to go from 0 to 60 mph. My math is going to get weak here, but let’s assume it then takes about 8 seconds to go from 0 to 45 mph, and that Shaun’s acceleration was constant. He would travel 264 feet in that 8 seconds, leaving 1716 feet to travel in the next 22 seconds. That would require an average speed of just over 53 mph. Since we know he was going 45 mph at the end of 30 seconds, there will also be a period of deceleration. Since it’s a big assumption that he started moving the instant that first ping went out, it is probably safe to conclude that he was speeding at some point in that 30 second interval. Exactly what top speed he may have reached is a calculation that is beyond me.

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