##### How far down was he after 10 seconds?

label Mathematics
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Alberto is at the top of a 1560 foot slope, with a height of 4600 feet, and a vertical drop of 600 feet. If he reached the bottom of a 1560 ft slope in 24 seconds, how far down would he be in 10 seconds?

Oct 26th, 2015

Notice you are given three different lengths in the problem.  You have a slope length of 1560 ft, a height length of 4600 ft., and a vertical drop length of 600 ft.  The important length here is the 1560 feet.

The slope of 1560 feet is a slant height that has length of 1560 feet.

We assume his speed down the slope is constant due to friction which acts against gravity, with net force of zero.  We assume Alberto started down the slope with his own velocity.

We take the proportion  1560/24 =  x / 10  and solve for x  Because we assume velocity is constant.

in solving, we get  x = 15600/24 = 5200/8 = 650 feet

Therefore in 10 seconds, Alberto has traveled 650 feet down the slope.

Oct 26th, 2015

Oct 27th, 2015
slidedownslope.jpg

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Oct 26th, 2015
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Oct 26th, 2015
Oct 23rd, 2017
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