Question: A mass (m = 2.12kg) is connected to a spring (k = 291.6N/m) on the surface of a horizontal, frictionless table and constrained to

A mass (m = 2.12kg) is connected to a spring (k =

A mass (m = 2.12kg) is connected to a spring (k = 291.6N/m) on the surface of a horizontal, frictionless table and constrained to move in the direction (gravity is pointed in the direction). When displaced from equilibrium, the mass enters into simple harmonic motion. Take the equilibrium location of the mass to be the origin. At time t = Os, the mass is observed to be displaced from equilibrium to 7 = 0.48m3 and traveling with a velocity 7 = 2.25m/sj. (The following questions will be marked correct only if your answer is within 1% of the correct value.) What is the smallest time t > Os at which the mass will be traveling at its maximum speed? (Direction is not relevant to speed.) S

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