It's a dark night on the mountain, barely illuminated by the light of the starting synodic month moon. You swing merrily over an ideal rocking chair, performing a periodic motion and oscillating with a constant amplitude of 2m.
The equation for said movement is as follows:
x(t) = Acos(ωt+ϕ) (1.0)
Where each symbols is your:
A = 2m: Amplitude
ω = 2πF: Angular Frequency (where F is the frequency)
ϕ = 0: Phase Angle
The instant velocity, that is dx(t)/dt is as follows:
v(t) = -Aωsin(ωt+ϕ) (1.1)
You consider the available variables at your hands. You ponder about it deeply. You have a mission. Today is the day your dreams come true. As you gaze over at the stars in the sky, burning at thousand of light years away, you realize that they're cheering for you as they collapse their own nuclei with their overwhelming mass and weight. You swear upon those compressed atoms that their efforts won't go to waste. Thus you clench your teeth once again. You regret not having a good math education. The problem you have to solve isn't easy, but it isn't hard either considering the standard levels of college.
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