To me, leap, bound and spring have slightly different emphasis compared with the more neutral noun jump. At least to my ears:
a leap emphasises the distance, or gymnastic ability of the jump.
a bound emphasises the energy or perhaps the enthusiasm of the jump.
a spring emphasises the speed or the unexpectedness of the jump.
So for example, I might use them in the following sentences:
The cat leapt into the air, and landed on the next door neighbour's balcony.
When Joe came home, he was met with Bruno the dog, who bounded through the hallway and jumped up to greet him.
When Mary stepped on the cat's tail, he sprang up and scratched her.
In the context of your sentence, where the emphasis is on the nimbleness and perhaps distance of the jump, I would therefore choose leap, although I would avoid mixing leap with sprung, instead preferring a more neutral noun to go with the verb leapt or a more neutral verb to go with the noun leap:
In one leap, she jumped up on her desk, nimble like a cat.
In one quick movement, she leapt up on her desk, nimble like a cat.
to ponder
means to, over a period of time, think about the consequences of two or more choices in a decision. If there is only one thing you are pondering, you are pondering whether or not to do that thing.
to mull over
is the same as ponder - but you can mull over collective nouns, meaning you are trying to decide which one of the group. "I mulled over the candy, and found a good piece."
to contemplate
means to think about the consequences of something carefully, thoroughly, and for a long time. Typically when you contemplate something, you are deciding whether or not to do it, not picking among an array of choices. It has a serious connotation, likely due to the common phrase contemplate suicide.
to cogitate
I don't hear this word a lot. According to Google, it can be used intransitively, so you don't have to be cogitating about anything in particular. The other words here generally require a "target" to make sense.
to deliberate [on]
means the same as contemplate. When I hear this word, I think of court proceedings or meetings ("the jury will deliberate... etc.").
to ruminate
I don't hear this in speech very much. In my opinion it's a "less serious" version of contemplate.
to dwell on
means to think about something over and over. It could be the consequences of a decision not yet made, a decision that just has been made, or it could be going over past events in your mind. Dwell on can have a negative connotation, possibly that what you are dwelling on is bothering you or haunting you.
So, I would answer like this:
("depth 10k worths" doesn't make sense to me, so the second is a guess)
I have been dwelling on my son (all day) since he left home for college.
I have been mulling over my depth 10k worths because I will have to pay it by next week but I don't have enough money. So I have to find a way.
I have been dwelling on my new school project. I don't know where to start.
The government deliberated how to stop protest on raising student fees.
Best Answer
A little change will make the question more clear. It's the confusion between the phrases along with and together with. With is added there because when you add it, they become idioms.
And,
Clearly, if you mean in addition to, both are interchangeable in that context. If I were a supplier, either is okay to understand that you need both - manual and product.
However, over both those sentences, I'd prefer telling this - Please put manual (inside the color packing box) as well.
That's because we are likely to suggest putting manual (as they are likely to forget it!) but it is very unlikely that if don't instruct anything, only manual comes and not the product!