To use some reference let's take the ISS.
The ISS has an orbital speed of 7600m/s. At the altitude of the ISS ~400km the force of the gravity it's about 8m/s2. It will take about 16 minutes to the ISS to achieve a vertical speed of 8000m/s.
My question is, why it doesn't fall.
I know about orbit is falling but going to fast the you "miss" the earth. But you will be falling faster each time due to the gravity being strong at just 400km.