Questions about example sentences with, and the definition and usage of "Grasped"

A: Yes^^ but I think in this context it means "realized". Kind of like the person "grasped" (realized) the fact that someone was demanding their passport.

A: It is the same as “you grabbed me.” Grasp and grab are essentially the same.

A: They are very similar. They both mean to hold onto something.

"Grip" can imply that you are holding something already, and squeezing it tighter.
"Grasp" can imply that you are reaching out and then holding onto something.

Examples:
I gripped my pen because I was nervous.
I grasped my child's hand as we crossed the road.

They are almost interchangeable.