The difference between Go ballistic and Lose one's temper

When used as verbs, go ballistic means to become very angry and irrational, whereas lose one's temper means to become angry or annoyed.

check bellow for the other definitions of Go ballistic and Lose one's temper

Go ballistic as a verb (idiomatic):

To become very angry and irrational.

Examples:

"The guy went ballistic when I tried to tell him he couldn't return the socks if the package had been opened."
Go ballistic as a verb (aerospace):

for a usually rocket powered, predominantly non-glide projectile or aerial vehicle, such as a ballistic missile, to travel to its target partly via unpowered ballistic or quasi-ballistic flight, usually following burnout of its rocket motor
Go ballistic as a verb (military, slang):

for a powered, usually guided missile or other aerial vehicle to travel on an unguided or ballistic trajectory, having lost power, control or guidance

Lose one's temper as a verb (intransitive, idiomatic):

To become angry or annoyed.

Examples:

"When my dad found out I had failed the exams, he completely lost his temper."