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A mass is hanging from the ceiling on a spring and oscillating (forever, and without friction). At its highest point, the mass is 12 cm

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A mass is hanging from the ceiling on a spring and oscillating (forever, and without friction). At its highest point, the mass is 12 cm from the oor, and at its lowest point, the mass is 6 cm from the oor. At t = O, the mass is at its equilibrium and moving downwards, and a single period takes 0.5 seconds. HINT: Graph your y(t) to check your answers. (a) Find a formula for y(t), the position of the mass from the oor as a function of time. (b) What is the position, velocity, and acceleration of the object at t = 2'? (c) In its rst period, during what time interval(s) is the speed, |v|, of the mass less than 1 cm/s

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