@CPhill @Hecitar

The minumum  height is 1 m off the floor

The max height will be  2.5 m off the floor

Here's one possibility

y = 1.75  - .75cos  [ ( pi/2 ) * t  ]

Here's the graph : https://www.desmos.com/calculator/52h81nrcjc

At t = 0   h  = 1

At t = 2   h  = 2.5

At t = 4   h =  1

At t = 6   h  =  2.5

At t = 8   h = 1

HAHAHA!!!!........ it doesn't necessarily have to be.....but....I found that it "worked"......besides ....the problem just specified that it was a function of the cosine.....so this is legit

Yep...you need the negative to make my answer work.....

I'd like to point out that there are other possibilities....I just used this particular one

Yep.....the sine function could also be used.....

Hey Julius, aka Richard Cranium, deleting your posts is rude. I would curse you with an intensely worded post, except Sir CPhill and Dame Melody tend to hide these types of posts.  So, I will just ask you to put your blòódy question post back where it belongs, so others might learn from it. 

Here it is, in case you forgot it:

A pendulum is connected to a rope 3 m long, which is connected to a ceiling 4 m high. The angle between its widest swing and vertical hanging position is π/3. If the pendulum swings out to its widest position in 2 seconds, model the height of the pendulum from the ground using a cosine function, considering vertical to be t = 0.

A question of Ethics:

^{You know, you could just say it's rude to delete your post blab blah etc jabber on and then post back my question right? But no, you didn't.}

Oh, But I did. I did that very thing. I said its rude then jabbered on; then posted back your question. 

^{Instead, you acted like ginger. Very bitter, and nasty.}

Yes, I did act like Ginger.  That’s who I am.  Generally, it’s only adolescents and adults who act like little bratty children that of think of me as bitter and nasty.  So, it’s easy to understand why you think so. 

 ^{What you're telling me, is that if CPhill or Melody weren't going to hide unethical comments as such, why would you want to make them in the first place?}

Your question is a non sequitur.  I’ll answer it, though.

It’s not unethical to sound a fire alarm if there is a fire. It’s not unethical to sound the Ahole alarm if there is an Ahole nearby. 

However, it is unethical to vandalize a post. Once you make a post and it is answered, it’s no longer your post—it belongs to the forum. Over time, potentially thousands of students can learn from these posts. However, that can never happen, because you effectively destroy them.  That is unethical and it is petty; so yes, I would curse you. The only reason I didn’t, is because a moderator would likely hide the post and you would not be able to read it. That would be kind of pointless, wouldn’t it?

Another thing you should know is Andree Massow, the web master, will ban you for deleting your question posts. He has no sense of humor about it.  . . . Well maybe he does have a sense of humor about it, but he will still banish you. Here’s an example of someone who píssed off Herr Massow.

^{Bad character I suppose. I would try to start acting like Fanta, very nice and sweet.}

Scréw that! That’s out of character for me. Perhaps my character is bad. It’s not a certainty, but it’s open for debate.  Irish GinerAle doesn’t rank high on the list of favorite sodas for bratty children and adolescents, but it’s higher on the list than the lime-y flavor of Julius.

GingerAle isn’t just a sobriquet— it is my name. I’m Ginger Alexandra.  

GA