- #1

- 11

- 0

## Homework Statement

A particle of mass m is thrown upward with velocity v and there is retarding air resistance proportional to the square of the velocity with proportionality constant k. if the particle attains a maximum height after time t, and g is the gravitational acceleration, what is the velocity v?

## Homework Equations

## The Attempt at a Solution

if i take D=kv

^{2 and now two forces act on the particle F=mg and the retarding force but the options here are a) √(k/g)tan[√(g/k)t] b)√(gk) tan [√(g/k)t] c) √(g/k) tan[√(gk)t] d) √(gk) tan[√(gk)t] so i m having problem in figuring out how this tan factor come in ....... Homework Statement Homework Equations The Attempt at a Solution}