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Question

# 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?

A
200 mph
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B
216 mph
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C
316 mph
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D
278 mph
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Solution

## The correct option is D 216 mphBecause the velocity and the time spent falling are directly proportional, you can simply set the ratio of the "before" velocity and time to the "after" velocity and time.v1w1=v2w290mph5sec=v212secv2=90×(12)5=216 mph

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