SOLUTION: The peregrine falcon has been clocked in the dive at 200 miles per hour. How many feet per seconds did the bird travel?

Question 403256: The peregrine falcon has been clocked in the dive at 200 miles per hour. How many feet per seconds did the bird travel?
Found 2 solutions by stanbon, rvquartz:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The peregrine falcon has been clocked in the dive at 200 miles per hour. How many feet per seconds did the bird travel?
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200 mph(5280 ft/1 mi)*(1 hr/3600 sec)
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= (200*5280*1)/(1*1*3600)(ft/sec)
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= 293 1/3 ft/sec
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Cheers,
Stan H.
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Answer by rvquartz(19) (Show Source): You can put this solution on YOUR website!
one key is to pick unit entities (by "unit" I mean "1") to cancel out the units you don't want and give you the units you DO want.

key point: anything divided by the same thing is equal to 1; so an example of a "unit" entity would be {1 cup / 8 ounces} or {8 ounces / 1 cup} or {12 inches / 1 foot} or {1 foot / 12 inches} - - - - ALL unit entities are equal to "1"

anything "multiplied by one" is equal to that same thing - - > so anything times a {unit entity} is that "same thing", just maybe expressed in different terms; for example, 12 inches is the same as 1 foot (same thing but expressed in different terms)

The terms we start with ==> miles per hour

The terms we want to end with ==> feet per second

So to end up with feet per second we pick unit entities to "multiply by one" until we have the term we want

if a term you want to eliminate is in the numerator the unit entity you pick must have that term in the denominator

if a term you want to eliminate is in the denominator then the unit entity you pick must have that term in the numerator

that process is called unit-cancellation, and it helps you end up with the units you want

also if x/y = 1, then it is also true that y/x = 1, so you are free to invert a unit entity, or an answer and still get a true result, but in the terms you want to see

We use the above principles to solve the problem now, step by step:

I don't want hours in my units, I want seconds; and 1 hour is the same as 3600 seconds because there are 60 seconds in every minute and also 60 minutes in every hour and 60 times 60 = 3600
(200 miles / hour) * {1 hour / 3600 seconds} = 0.0555 miles per second

I don't want miles in my units, I want feet; and 1 mile is the same as 5280 feet
(0.0555 miles / second)* {5280 feet / 1 mile}

= 293.33 feet / second, or
293.33 feet per second
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