- #1

Ashley1nOnly

- 132

- 3

## Homework Statement

I'm trying to integrate this equation so that I can find my position using my initial drag force and initial velocity.

V/(-g-kv) dv

## Homework Equations

## The Attempt at a Solution

U substitution won't work

Integration by parts won't work

Partial fractions won't work.

It doesn't match any trigonometric equations

I'm not sure how to integrate it.

Basically a potato is being shot up in the air with air resistance and gravity affecting it.

This is what I started with

F=ma

F=-mg-kmv

M(dv/dt)= -mg-kmv

dv/dt=-g-kv

dv/(-g-kv)=dt

well v=dx/dt so dt=dx/v

dv/(-g-kv)=dx/v

Separation of variable from D.E

Vdv/(-g-kv)=dx

Now I want to integrate the left side which I don't know how to do.Thanks for any help

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