# (Sine)ing

Calculus Level 2

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

Details and assumptions:

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