Hey guys ^^, basically there's this problem I've come across and I am somewhat curious of your opinions on it.(adsbygoogle = window.adsbygoogle || []).push({});

There's a bike that was previously on an incline that begins to run on a level surface. Assuming that the only resistive forces acting on the bike are due to aerodynamic drag I want to find the time taken for the bike to decelerate from speed A to a lower speed B.

Using the Standard equation for Drag Fd=1/2*Cd*ρ*U^2*A

I can clearly see that the force acting upon this bike is variable, and thus the acceleration is non linear, I've assumed the Drag coefficient is constant for the speeds used (there's not that significant a difference) and given we know the initial and final speed, along with the initial force... how would one go about finding the time taken to decelerate to a given speed? I'm thinking the integral approach but I'm not quite sure how to go about doing it...

Thanks for your help in advance guys ^^, the reason I haven't given values is because I would only like an approach rather than a worked solution, prefer to use my own noodles if I have any say in things haha.

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# Calculating the time taken for variable declaration

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