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fysiikka111
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Homework Statement
A package of mass m is released from an aircraft flying horizontally with a velocity v0. In addition to gravity, a drag force acts on the package given by F=-[tex]\lambda[/tex]v. Find the i and j components of the velocity as a function of the time (t) from when the package was released.
Homework Equations
F=ma
The Attempt at a Solution
Acceleration in x-direction:
F=ma(x)
-[tex]\lambda[/tex]v(x)=ma(x)
a(x)=-[tex]\lambda[/tex]v(x)/m
dv(x)/dt = -[tex]\lambda[/tex]v(x)/m
The solution method then integrates, and gets:
v(x) = v0exp(-[tex]\lambda[/tex]t/m)
I don't know how to do the integration.
Thanks.