Sudden acceleration bringing a rush of blood? (5)

I believe the answer is:

spurt

I'm a little stuck... Click here to teach me more about this clue!

'sudden acceleration' is the definition.
'spurt' can be an answer for 'acceleration' (thesaurus). I am unsure of the 'sudden' bit.

I don't understand the remainder of the clue.

Can you help me to learn more?

(Other definitions for spurt that I've seen before include "Jet, gush" , "Gush; sudden burst" , "Short spell of increased speed" , "Gush out suddenly" , "A short burst of activity" .)

I've seen this clue in the Evening Standard.

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