What is the maximum displacement of the simple harmonic motion?

Answer

The maximum displacement of the simple harmonic motion is called the amplitude. At this maximum displacement, the potential energy is highest and the kinetic energy is equal to zero.
Q&A Related to "What is the maximum displacement of the simple..."
Amplitude. Source(s) my brain (Prof TBT)
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Option 3 is correct. The velocity must me zero, otherwise it would keep moving and it would not really be at maximum displacement! The magnitude of the force depends on the displacement
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UPDATE: to add velocity correction. Motion will be of form y=Acoswt. w^2=k/m=25/0.5=50. w=7.071 rad/s. A=10cm. y(1)10cos(7.071*1)7.05 cm. velocity=dy/dt=Awsinwt. v(1)dy/dt(1)10*7.071
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The position of an object in SHM is given by [see Source 1] (1) x(t) = A * cos (ωt) and the velocity is (by differentiating) (2) v(t) = -A * ω * sin (ωt) where:
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