Express Y in terms of u,m,b,g where g is gravity, m is mass, b is a constant. I'm not exactly sure what u is but its formed during the integration I believe. Y is a vertical component of a ball. bY is the air resisiatance mg is weight of a ball. The answer should approach terminal velocity as t goes into infinity.
This is what I've done
mg=bY
g=bY/m
du/dt=by/m Here i presume du is change in speed and dt is change in time allowing us to represent g as it is an acceleration.
du=bYdt/m
Integrate
u= bYt/m
Make Y the subject.
Y=um/bt
This is the answer I came up with but I believe it's wrong as if t does go into infinity its, the Y value becomes very small.
This is what I've done
mg=bY
g=bY/m
du/dt=by/m Here i presume du is change in speed and dt is change in time allowing us to represent g as it is an acceleration.
du=bYdt/m
Integrate
u= bYt/m
Make Y the subject.
Y=um/bt
This is the answer I came up with but I believe it's wrong as if t does go into infinity its, the Y value becomes very small.