(Sine)ing

Calculus Level 2

A particle is executing 1D motion. Its acceleration as a function of time is given by a=Aw2sin(wt)a=-Aw^{2}\sin(wt). At time tt, the magnitude of displacement from the mean position, velocity, acceleration are equal. Then find the value of tt.

Details and assumptions:

  • At maximum acceleration(magnitude), velocity is 0
  • At maximum velocity, displacement is zero
  • ww is angular frequency
  • 'A' a is constant of appropriate dimensions
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