SOLUTION: Hi, I am looking to solve a problem and was wondering if somebody could assist me please? There is a standard of performance cars being able to accelerate from 0-100kmh (60mph)

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Question 963378: Hi,
I am looking to solve a problem and was wondering if somebody could assist me please?
There is a standard of performance cars being able to accelerate from 0-100kmh (60mph)in - for example - 6 seconds. What I am trying to establish is how much distance it covers in total during those 6 seconds. I am assuming that the tyre diameter comes into it but not sure how to apply it.
Anybody got some ideas please?
Greg
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
If the car goes uniformly from 0 to 60 mph in 6 seconds,
acceleration is 60mph/6s=10 miles/hr/sec
Let's change acceleration rate to feet/second/second to get uniform units:
(10mi/hr/sec)(5280ft/mi)(1 hr/3600 sec)=14.7ft/sec/sec
Let s=distance, a=acceleration, t=time
s=%281%2F2%29at%5E2
s=%281%2F2%29%2814.7ft%2Fs%5E2%29%286%5E2s%5E2%29
s=%287.35ft%2Fs%5E2%29%2836s%5E2%29=264.6 feet
Tire size does not matter unless it is used to determine speed or
acceleration: what matters in determining distance is rate of forward motion
and rate of change of forward motion.