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?
The Attempt at a Solution
the amplitude is given by a=1.5m
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
which does not match the correct solution
can someone point out where I went wrong