- #1
S[e^x]=f(u)^n
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Homework Statement
An object dragged through an unknown fluid experiences a force opposite to that of its initial velocity (Vi) that is equal to -k(v^1/2). find the equation that models its instantaneous velocity
Fn = Force Net
Ff = Frictional force
Vi = Initial Velocity
V = instantaneous velocity
Homework Equations
Fn=ma
Ff=-k(v^1/2)
The Attempt at a Solution
Fn=Ff
ma=-k(v^1/2)
dv/dt=(-k/m)(v^1/2)
S[dv/(v^1/2)]=(-k/m)S[dt]
2(v^1/2)=-kt/m
v=(-kt/2m)^2 + Vi
which can't be right because that would mean velocity increased as time moves positively...
i'm lost. help lol
v=