Hi Lynda92,
Welcome to PF!
Your questions is actually a rather complicated one to answer fully. The space shuttle was launched through several phases.
So the space shuttle has three on-board engines. On-board meaning that they are attached to the shuttle and are always there. The fuel for these three main engines is a liquid rocket fuel.
In addition to the three on-board engines there are two solid rocket fuel boosters which are used in the initial stages of take-off. The two solid rocket fuel boosters are named that way because, well, they use a fuel which is a mixture of chemicals in a solid state. Essentially they use aluminum and react it with oxygen and a variant of ammonia as the fuel.
On lift-off all five of these engines are turned on giving the shuttle a thrust of several million pounds. (Like 1 million lbs from the main engines, and another 6 million lbs of thrust from the boosters). This is enough power to life the shuttle and start accelerating the whole thing into space.
Now after a certain point the boosters will run out of fuel. When this happens the boosters are released from the shuttle and dropped into the ocean. This is done for a few reasons. NASA can recover the boosters and re-use them this way. Also, by dropping the boosters the shuttle is significantly lighter meaning that it is easier to accelerate.
Once the boosters have been dropped the shuttle starts to accelerate some more at which point the shuttle is in the outer atmosphere. The shuttle is accelerated in the outer atmosphere because of friction. Flying the shuttle in the atmosphere causes friction which opposes the shuttle movement and also significantly heats it up. (The reason the shuttle turns red on reentry is because of all the heat with re-entering the atmosphere).