general relativity - If curved paths imply that the vehicle is accelerated, how come do we assume that light gets curved whilst its speed is constant?

I don't understand how we can accept these two sentences at the same time:

1. 
   

   Light speed is constant, therefore experiences no acceleration.

   
   


2. 
   

   On the presence of a gravitation field, light path is curved (which would mean that somehow it gets accelerated).