There are no English Scrabble words that meet the criteria. Here are 5-letter words that contain the letter Q, but none of them begin with V.
5-letter words
aquae, aquas, equal, equip, faqir, fique, maqui, pique, qaids, qanat, qophs, quack, quads, quaff, quags, quail, quais, quake, quaky, quale, qualm, quant, quare, quark, quart, quash, quasi, quass, quate, quays, quean, queen, queer, quell, quern, query, quest, queue, queys, quick, quids, quiet, quiff, quill, quilt, quins, quint, quips, quipu, quire, quirk, quirt, quite, quits, quods, quoin, quoit, quota, quote, quoth, qursh, roque, squab, squad, squat, squeg, squib, squid, toque, tranq, tuque, umiaq, usque
Cash is a 4 letter word that starts with c and ends with h.
Aura
Viva.
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Czar is a 4 letter word. It begins with C and ends with R.
Pyro
mump
crew
game
sand
xyst
Katy