Footage feels "faster" when exporting from After Effects
I had the same problem!

So let me explain the answer :

After effects imports your video at the wrong frame rate, so to fix it follow these steps : 


Open the Project panel (by default on the left of your screen)
Right click on your footage and go to Interpret Footage -> Main... as shown below.





In the screen that opens up input the desired framerate (15fps in this case) in the textbox next to Conform to framerate. Press OK. 





Now After Effects should know that the footage is 15fps.