a weigh it atached to a spring and is suspended from the ceiling so that it lies 30cm from the ceiling when it is at rest. the spring is stretched so that the wieght is 38cm from the ceiling, and is then released. it bounces up AND down for a while . eash time it comes to the bottom of its bouce the lenght of the stretch is 75% of the prevouse strech the period of each bounce of of thw wieght is 1/2 second . write a eqution that reprensent the distance from the weight to ceiling ?

Question

amistre64 · Answer

its gonna be a cosine  .... yeah something like that :)

anonymous · Answer

wait sorry that doesn't account for t=0

anonymous · Answer

.75*2t*8cos(4pi*t)+30

anonymous · Answer

i knew i was missing something, wasn't sure about whether to use exponent or not.  thank you

anonymous · Answer

http://www.wolframalpha.com/input/?i=Plot%5B0.75^%282+t%29+8+Cos%5B4+Pi+t%5D+%2B+30%2C+ {t%2C+0%2C+10}%5D

anonymous · Answer

$$8*0.75^{2t} \cos (4 \pi  t)+30$$

anonymous · Answer

thank you

anonymous · Answer

LOL, I just tried to answer this in one of it's other postings and completely forgot the m goes away with the mg (ended up with Sin and Cos).

Knew there was some reason I didn't like mechanics:-)

I

anonymous · Answer

the one is advnace functions

anonymous · Answer

are you sure that equation it right because when i try to graph it i get comething looling very diffrent

anonymous · Answer

http://my.hrw.com/math06_07/nsmedia/tools/Graph_Calculator/graphCalc.html

anonymous · Answer

(8*.75^2x)*cos(4π*x)+30

anonymous · Answer

This is plot of equation http://tinyurl.com/6y4q237

anonymous · Answer

Your amplitude should diminished as time passed