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equation of motion of pendulam is x = Asinwt (for small displacements)
A = amplitude of motion ...
x = Asinwt .............1
v(velocity) = dx/dt = Awcoswt
a(accleration) = dv/dt = -Aw2sinwt ..............2
now accleration is maximum when sinwt = 1 or -1 ..
sinwt = + or - 1
now , position when sinwt = + or -1 is
x = A or -A (from eq 1)
so maximum accleration is at extream positions
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