An Object with Mass M Is Dropped from Rest and We

question 50

Essay

An object with mass m is dropped from rest and we assume that the air resistance is proportional to the speed of the object. If is the distance dropped after t seconds, then the speed is and the acceleration is . If g is the acceleration due to gravity, then the downward force on the object is , where c is a positive constant, and Newton's Second Law gives .
Find the limiting velocity.

---

Definitions:

Anal Stage

A phase in Freud's psychosexual development theory, occurring from ages 18 months to three years, when a child's focus is on controlling bladder and bowel movements.

Obstinate

Showing stubbornness and refusal to change one's opinion or chosen course of action, despite attempts to persuade one to do so.

Stingy

Describing a person or behavior characterized by an unwillingness to spend money or use resources; being miserly or parsimonious.

Personal Unconscious

According to Carl Jung, the layer of the unconscious that houses material which is not within one's conscious awareness but is personal to the individual.