Wednesday, January 6, 2010

How do I figure MPH and top speed?

My kids are making some CO2 cars. I want to work a little math in the project soooo what formulas would I use to figure average MPH and the top speed the car obtained (I'll suppose that the car was still accelerating at the time the race was over). The car traveled 60 feet in 1.668 seconds.How do I figure MPH and top speed?
MPH (There are 5280 ft in a mile) -


Car = 60 feet in 1.668 seconds.


First you turn the feet into miles. 60 feet = (60/5280) miles = because the car went 60ft out of 5280ft (a mile.)


Then you turn the seconds into 1 hour. What number times 1.668 seconds = an hour? 1 hour = 60 minutes = 3600 seconds. 3600/1.668 = about 2,158.





Multiply both sides of 6/528 miles per 1.668 seconds


by what will make 1.668 seconds and hour (2,158) to get.....about.....





24.5 miles per hour.








Now, for top speed.





V = 1/2 A * T^2


The above is a physics formula relating Velocity (speed), Acceleration, and Time.





You're trying to find V right now.


If you assume the car was going fastest at the end of the race, T = 1.668 seconds. So you have your T. But now you need the acceleration of the car, which you most likely can't get unfortunateley. Your best bet is to tell your kids the acceleration and THEN they could use the formula.How do I figure MPH and top speed?
On a simpler note, assuming constant acceleration,





Vav = D/t = 60/1.668 = 35.97 ft/s 鈭?(30/44) = 24.5 mph





Vmax = 2*Vav = 49 mph





If it's of any interest, the acceleration a = 2D/t虏 = 43.13 ft/s虏








The last formula given by Dadgwelen is for distance, not velocity..........

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