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February 1, 2015

February 1, 2015

Posted by **Challenge Problem Math Help Please** on Monday, January 23, 2012 at 10:32pm.

If you do not consider air resistance, gravity causes a falling object to descend a distance of (9.8)t2 where t is the time in seconds. If a 16 pound bowling ball is dropped from the tallest building in the world, how many meters does it fall during the 4th and 5th seconds combined.

Thank you

- MATH -
**Reiny**, Monday, January 23, 2012 at 10:55pmdistance = 9.8t^2

when t=5

distance = 9.8(25) = 245 m

when t=4

distance = 9.8(16) = 156.8

so in the time from 4 seconds to 5 seconds it fell

245-156.8 or 88.2 m

since we are ignoring air resistance, the fact that the ball has a weight of 16 lbs is irrelevant.

- MATH -
**Steve**, Tuesday, January 24, 2012 at 4:41amwhat about during the 4th second?

"how many meters does it fall during the 4th and 5th seconds combined"

- MATH -
**Reiny**, Tuesday, January 24, 2012 at 8:03amI saw that Steve.

It did not seem to make a lot of sense to find the total distance of the 4th and 5th second distances.

So I assumed there was a typo and that the question followed the more traditional wording of that type.

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