Hi Jennifer, nouvel is used for the masculine form only when it's followed by a vowel or mute h.
More info here:https://kwiziq.learnfrenchwithalexa.com/revision/grammar/beau-nouveau-vieux-fou-mou-two-masculine-and-one-feminine-form
As Gruff said, "nouvel" is used for the male form when it starts with a vowel or silent h. When you talk about the two forms of "new" you probably mean nouveau/nouvelle vs. neuf/neuve.
"Ma nouvelle voiture" is a car that is new to you but not newly made.
"Ma voiture neuve" is a car hot off the assembly line.
-- Chris (not a native speaker).
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