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Mathematics 20 Online
OpenStudy (anonymous):

(I have one day to finish this or I get kicked out of my high school and home...) An object is fired upward from the top of a 200 ft. tower at a velocity of 80 ft/sec. Find the maximum height reached by the object. Round to the nearest foot.

OpenStudy (anonymous):

2.5ft/sec right?

OpenStudy (anonymous):

idk..

OpenStudy (inkyvoyd):

yuck.

OpenStudy (anonymous):

....

OpenStudy (inkyvoyd):

have you learned about conservation of energy yet?

OpenStudy (anonymous):

...no..

OpenStudy (inkyvoyd):

kinetic and potential energy?

OpenStudy (anonymous):

...idk?

OpenStudy (inkyvoyd):

come on, the problem is asking for a height and you're giving a speed

OpenStudy (inkyvoyd):

at least guess harder

OpenStudy (radar):

Use this formula;\[V ^{2}=U ^{2}+ 2as\]Where V is velocity at maximum height and would be 0 as the object is at max height and now beginning to change direction U = the initial velocity in this case 80 ft/sec a = acceleration due to gravity and is -32 ft/sec/sec. Note the negative value.\[0=80^{2}-2*32*s\] s = height where V is 0 or maximum height. \[64s=6400\]\[s=6400/64 = 100ft.\]Now remember you were on a 200 ft tower, so the maximum height was 200 + 100 or 300 ft.

OpenStudy (radar):

I realize the question is closed, but did not see any real effort to solve this problem. The key is the time for the object to reach maximum height is the same as the time for it to fall back down to the top of the tower.

OpenStudy (radar):

This uses meters and the acelleration due to gravity is 9.8 m/sec/sec

OpenStudy (radar):

Google is a wonderful search engine, it can help you solve your math problems. I use it a lot, as there is no way I can keep everything in this old head lol.

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