The maximum displacement of a mass attached to a spring is 0.122 m, while its highest acceleration is 0.953 m/s². What is its maximum speed? A)0.358 m/s B)0.108 m/s C)0.831 m/s D)0.341 m/s E)0.538 m/s

Question

Quizplus · Accepted Answer

The maximum speed (v_max) in simple harmonic motion is given by v_max = ωA, where ω is the angular frequency and A is the amplitude. The angular frequency can be found using the formula ω = sqrt(a_max/A), where a_max is the maximum acceleration. Substituting the given values, ω = sqrt(0.953/0.122), and then v_max = ω * 0.122, which calculates to approximately 0.341 m/s.

The Maximum Displacement of a Mass Attached to a Spring