Need help with this differential question please :)

PhantomProspect said:
Hi

I was hoping if someone could help me with this question please
http://i.gyazo.com/9a3e19acff1e3305f10dfde3fa76f56a.png


I don't really know how to start ? I know F=ma, and that acceleration is dv/dt but from here I dont really understand how to continue or what to do. Any help is greatly appreciated :) Thanks

I tried that F = 2000 x 40v, and as acceleration is dv/dt, I uses a=f/m, giving me 2000x40v/1000. To which when I take a factor of 40 from the numerator I get 40(50 - v)/1000 ?
Click to expand...

The force F is equal to 2000N minus 40v [NOT 2000 x 40v]. The mass m is 1000 kg. Given F=ma, what does that say the acceleration a is? Since a is the derivative of the velocity v, what formula do you have for dv/dt?
 
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