Motion of a particle is determined by the equation
d x dx x t
dt dt
2
-
4 8 20cos2
The particle starts from rest at x = 0. Find x(t).
Answer
The postion dependent on time is given by
x(t)=∫vdtx(t) =\int v dtx(t)=∫vdt
It means the integration of velocity gives the position.
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