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Direct Proportionality

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by Priyaranjan » Thu Nov 26, 2015 9:19 pm
Q. The velocity of a falling object in a vacuum is directly proportional to the amount of time the object has been falling. If after 5 seconds an object is falling at a speed of 90 miles per hour, how fast will it be falling after 12 seconds?
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by Matt@VeritasPrep » Thu Nov 26, 2015 11:40 pm
Much like your other question, we can use the common ratio to solve this. A direct proportion says that

x/y = some constant

So we've got x = velocity and y = time. Since the object has the same velocity/time ratio the whole time:

90/5 = x/12, or

216 = x
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