# A cyclist moving on a level road

## Homework Statement

a cyclist is moving on a level road at 4m/s stops pedaling and lets the wheels comes to rest the retardation of cycle has 2 components a constant 0.08m/s^2 due to friction in working parts and resistance of 0.02v^2/m where v is speed in m/s and distance tranversed by the cycle before it comes to rest.(log 5=1.6)

2. Homework Equations

uart

## Homework Statement

a cyclist is moving on a level road at 4m/s stops pedaling and lets the wheels comes to rest the retardation of cycle has 2 components a constant 0.08m/s^2 due to friction in working parts and resistance of 0.02v^2/m where v is speed in m/s and distance tranversed by the cycle before it comes to rest.(log 5=1.6)

You understand that this is a differential equation right. You need to write an equation in the form:

$$\frac{dv}{dt} = -f(v)$$
Are you able to write this equation? This is your starting point.

BTW. f(v) here is the total retardation as a function of velocity.

yes after that i do not know what to do

uart
yes after that i do not know what to do

Rewrite it as:

$$\frac{dt}{dv} = \frac{-1}{f(v)}$$

and integrate.

Ray Vickson
Homework Helper
Dearly Missed
yes after that i do not know what to do

Are you saying you do not know how to solve a differential equation?

RGV

vela
Staff Emeritus
Homework Helper

## Homework Statement

a cyclist is moving on a level road at 4m/s stops pedaling and lets the wheels comes to rest the retardation of cycle has 2 components a constant 0.08m/s^2 due to friction in working parts and resistance of 0.02v^2/m where v is speed in m/s and distance tranversed by the cycle before it comes to rest.(log 5=1.6)

2. Homework Equations

## The Attempt at a Solution

yes after that i do not know what to do