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AR15.COM
11/22/2007 2:13:34 PM EDT
Trying to help my son with a science project, and without going into a lengthy explanation I'm trying figure out the following:

if an object travels 7' 6" in the following times, how can I determine the miles per hour.

1.219 seconds
1.078 seconds
0.894 seconds

I listed the times in case it's easier than trying to splain it.  

Thanks.
11/22/2007 2:23:17 PM EDT
[#1]
conversion of units is your friend...

Convert the feet to miles, then the seconds to hours...

use this for the long math - http://www.onlineconversion.com/
can't hot link it...MIL web is the sucks


OK...edited to add a little more info:
To do it more easily you will need to use algebra. Convert all times to even ratios of the distance...ie 7.5ft/1.219sec = 6.15ft/sec now we have a easy number to work with.

from the calculator listed above: 6.15 foot/second = 4.193 181 818 mile/hour (mph)

you can do this with units too:
1 foot/second = 0.682 mile/hour
11/22/2007 2:24:36 PM EDT
[#2]
divide the ft by the seconds, and then multiply by 60 twice?

ETA: I think you then have to divide by 5280 also.
11/22/2007 2:26:12 PM EDT
[#3]
1 Mile = 5280 Feet = 63360 Inches
7'6" = 90"

Working on the rest... (at work and can't get locked into the PC)

ETA - I may be going on the completely wrong path but FWIW: 63360 (1 MI in inches) is divisible by 90 and results in 704.

1.219 x 704 = 858
1.078 x 704 = 758.912
0.894 x 704 = 629.376
11/22/2007 2:30:26 PM EDT
[#4]
I did it two different ways and I cam up with answers close enough for it to be considered a rounding error. I think the way I posted first will work for you.
11/22/2007 2:32:20 PM EDT
[#5]
5280/7.5 = 704 (7.5 foot segments in a mile)

60*60 = 3,600 seconds in an hour

3600/(1.219*704) = 4.195 mph

It's all about converting to the units you want, then dividing.
11/22/2007 2:32:49 PM EDT
[#6]
This is easy if you think about the units. You have a time and a distance, and you want to get a speed. Speed is time/distance. Then you just have to go from feet/second into miles per hour so just multiply by the correct ratios like this:

feet / seconds * seconds / hour * miles / feet

for example:
7.5 feet / 1.219 seconds * 3600 seconds / 1 hour * 1 mile / 5280 feet

the seconds and the feet cancel out, leaving you with miles / hour.

If your son is interested in science and/or engineering, teaching him to think about units at an early age will be invaluable to him.