For first gear, Hold the clutch, press the gear down, accelerate slowly and leave the clutch gradually... For the rest of the gears, hold clutch, press the gear down accelerate a little more than the current moving speed and leave the clutch a little faster than before...
You could have a slipping clutch which is not transmitting the drive correctly.
The sign of a worn clutch is failure to accelerate as rapidly as usual: the engine will race and the car will only slowly pick up speed. Eventually, you will shift into gear and the car won't move at all.
MINE WAS DOING THE SAME THING AND IT WAS THE EGR VALVE!! THAT FIXED IT AND IT'S RUNNING GREAT!!:)GOOD LUCK
Try to accelerate slowly when leaving the stop light.
Assuming that your car has a tachometer, accelerate moderately hard in an empty lot (or other unobstructed and deserted area) and watch your tach and speedometer. If you're confident that your final drive will take the stress, just sidestep the clutch and launch. If you don't move (or take off slowly) and the tach rockets up, then your clutch is slipping, and it's time to replace it. If you're accustomed to the car, however, you should become aware of a slipping clutch -- it'll be obvious; you just won't accelerate.
To accelerate means to increase in speed or level of activity.
Check motor mounts
the belt or belts need tightening, most likely the alternator since it puts a lot of drag on the engine and will speed up more slowly than the engine can.
Saturn moves because of the big bang and moves very slowly.
Accelerate slowly with the vehicle in a higher gear
Slowly and if you are good you can change gears without using the clutch. Takes a little practice and a good ear or feel for when the engie is running at the speed to change without the clutch.