Question

Can someone please show me STEP BY STEP COMPLETELY how to do this??? This is geometry: Simple Harmonic Motion. Picture attached below.

Answer 1

\(\bf y=25cos\left(\frac{\pi t}{3}\right)+27\implies y=25cos\left({\color{brown}{ \frac{\pi }{3}}}t\right)+27
\\ \quad \\
period\implies \cfrac{2\pi}{{\color{brown}{ \frac{\pi }{3}}}}\implies \cfrac{2\cancel{ \pi }}{1}\cdot {\color{brown}{ \cfrac{3}{\cancel{ \pi } }}}\)

Answer 2

So the period is 6?

Answer 3

Alright awesome so how would i do this one?

Answer 4

hmmm i same picture... so, I guess will also be the same period =)

Answer 5

Its saying high point but i dont no how to find the amplitude

Answer 6

ohh the amplitude well that's just \(\bf y={\color{blue}{ 25}}cos\left(\frac{\pi t}{3}\right)+27\qquad {\color{blue}{ amplitude}}\)

Answer 7

hmm the high point...

Answer 8

maybe this will help

Answer 9

?

Answer 10

is that part of the same one?

Answer 11

No it is just a slide that mentions high point but if it doesnt help just ignore it. So do you know how to do this problem? Because i dont know after how many seconds the first seat is at its high point.

Answer 12

hmm I'd say well
the amplitude is 25
but \(\bf y=25cos\left(\frac{\pi t}{3}\right){\color{brown}{ +27}}\) has a vertical shift of 27
meaning the graph is about say 27 + 25 = 52
that's how high it got

more or less