There is actually an anthology about this by Eric Flint the first of the novel series is titled "1632."
It's is about an entire West Virginia town in the year 2000 transported to Germany in 1632.
Technology-wise. They could not just leapfrog technology 1632 to 2000 technology. As you might have already guessed there is a lot of "background" technology behind-the-scenes of our current technology or as they say in the novels they needed to make the tools that make the tools that make a product.
The anthology is the collective work of more than 300 persons (engineers and historian included). And they have a massive discussion board (started in 1999 and still going strong till now) about what technologies they can and cannot introduce complete with timeframes, where to locate specific resources, how to make alliances with towns that contain those resources etc.
http://1632.org/1632tech/ is one of the sites devoted to the series (has link to their discussion board).
Short version (and by no means comprehensive)
The people of your time 17th century would first have to select what technology they can possibly re-create using their current base of technology.
Just to give some examples of what they were able to re-create in 1632 (also take note: in the novel 1632 they actually had people from year 2000 making informed decisions on what will be possible)
Crude mechanical sewing machines
Crude typewriters
Rifling will be of great interest (but will only be possible with precision tools - so it will be a tool to make the tool problem)
Also in the 17th century they had no factories and manufacture was done by guilds so it will also be an organizational logistics problem. Resistance to change scenario plus the fact that people who are best qualified to make the changes already belong to guilds.
Medicine will be get a boost (but only in terms of knowledge-base) and you will definitely have a lot of resistance from doctors) no doctor will really want to admit they would have to re-study and re-learn everything again. Human nature laziness and resistance to change.
Apothecary/ pharmacy definitely possible in months with the plant knowledge-base
Penicillin not immediately possible but Chloramphenicol possible dependent on how fast your people can absorb the knowledge
Ocean navigation should get a boost with better star charts. But captains are people too so you have to present a complete solution before they throw away their old methods.
Wide-scale electrical distribution they estimate a decade (tools to make the tools problem and money problems) it will create a sort of polarization (forgive the pun) between groups of conservatives and progressives.
On the bright side guilds can manually create limited lengths of copper wire and demonstrate the possibility of electricity (more like table-top demonstration) is possible.
Potato chips, ice cream etc. very doable in the immediate months :)
Who controls the flow of technical information, and why control the information (equality of the sexes, free education for all will be radical)
Butterfly effect also discussed. Predestination. (even if people understand butterfly effect they are far more likely to believe that "x" person will stage a coup in the next few years and take steps to prevent it from happening)
Space Program? They would have to justify the need for it, and it will become a money problem. Money for the entire research program including training and education for all the people in the background supporting sciences. Money that conservatives will argue could be spent on other advances. The budget for a first-baby-steps Space program will have to compete with more immediate earthly concerns.
If you are really interested in a first-baby-steps money for a space program - try to join the the 1632 discussion board (to get a feel of the type of resource allocation opposition you will encounter). Advocate for them spending money on early research into space (I think they are on the first half-decade tech advances after 1632). You will most likely encounter opposition from the conservatives saying that money will be better spent on something else.
I still remember the ironclads discussion, soooo many flames I thought everybody's modem had overheated (it really felt like you were in congress asking for a budget) :)
Just the tip of the iceberg.