# Riding against the wind- complicated bicycle problem

1. The problem statement, all variables and given/known data

A wind is blowing against a bicycle rider at a velocity of v0 = 10m/s. The rider is driving with the same power as in the windless weather, but he requires twice as much time to pass the straight part of the road as in the windless weather. With what velocity is he riding? With how much power should he ride if he if he wanted to ride with the same speed as in the windless weather? Assume that the cyclist is only overcomes the force of air resistance.

2. Relevant equations

P= W/t
P(t)= F(t) v(t)
PE= mgh
KE= mv²/2

3. The attempt at a solution

First part: With what velocity is he riding?

KE(wind)=KE(biker)
mv(wind)²/2= mv(biker)²/2
v(wind)= v(biker)
v(biker)= 10 m/s

Is my attempt correct?
And I don’t know how to continue. What about the second part?
?

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"Riding against the wind- complicated bicycle problem"

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