Word for "suddenly stand up"?

Solution 1:

To spring may convey the idea of a sudden and quick motion:

• To move upward or forward in a single quick motion or a series of such motions.

• he sprang up and rushed...

Solution 2:

The most obvious choice would be jump up:

He jumped up and rushed out of the living room.

This most commonly implies that he stood up from his seat very quickly because of nervousness, some external influence (a doorbell ringing, realising he’d just sat on the cat, etc.), or at the very least that the narrator was not expecting him to suddenly stand up.

Solution 3:

Bolt

He bolted upright and rushed out the living room.