Acquired characteristics aren't a real thing, they were a biological misconception - the belief that you could pass down body features acquired during a lifetime (e.g. if you exercise and become muscular, your child would be more muscular as a result). We now know that only genetic material is passed down to offspring, making this obsolete.
Adaptations are inherited traits that increase fitness. An adaptation isn't acquired during the course of one's lifetime, it's genetically selected for. They are essentially genetically favorable traits.