- #1
acedeno
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Homework Statement
The force acting on a particle of mass m is given by
F=kvx
in which k is a positive constant. The particle passes through the origin with the speed v naught at time t=0. Find x as a function of (t)
Homework Equations
F=ma
a=(dx/dt)(dv/dx)
The Attempt at a Solution
F=kvx
ma=kvx
a=kvx/m
(dx/dt)(dv/dx)=kvx/m
v(dv/dx)=kvx/m
dv/dx=kx/m
dv=(kx/m)dx
integral of both sides left in terms of dv and right in terms of dx
V-Vnaught=kx^2/2m
I'm not sure where to go from here. Help would be very much appreciated!