Question:
The maximum speed and acceleration of a particle executing simple harmonic motion are $10 \mathrm{~cm} / \mathrm{s}$ and $50^{\mathrm{cm}} / \mathrm{s}^{2}$. Find the position(s) of the particle when the speed is $8 \mathrm{~cm} / \mathrm{s}$.
Solution:
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