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## Homework Statement

Two particles oscillate in simple harmonic motion along a common straight-line segment of length 1.5 m. Each particle has a period of 1.5 s, but they differ in phase by π/5 rad.

**(a)**How far apart are they 0.46 s after the lagging particle leaves one end of the path?

**(b)**Are they then moving in the same direction, toward each other, or away from each other?

## Homework Equations

x=a*cos(wt+ø)

T=2π/w

## The Attempt at a Solution

the amplitude is given by a=1.5m

and T=1.5s

then we have w=2π/T=4.18879..

the two particles are identical except they differ in phase by π/5

my attempt in finding the distance between them after t=0.46s is

d=1.5cos(wt)-1.5cos(wt+π/5)=0.28647

which does not match the correct solution

can someone point out where I went wrong