A 1 2 -kg mass is attached to a spring having a spring constant of 8 Newtons/m. The mass is set in motion by displacing it 10 cm above its equilibrium position with an initial velocity of 2 m/sec in the upward direction. a. Find the subsequent motion of the mass if the constant representing air resistance is 2 Newtons.

A 1 2 -kg mass is attached to a spring having a spring constant of 8 Newtons/m. The mass is set in motion by displacing it 10 cm above its equilibrium position with an initial velocity of 2 m/sec in the upward direction. a. Find the subsequent motion of the mass if the constant representing air resistance is 2 Newtons.

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Question

. A 1
2 -kg mass is attached to a spring having a spring constant of 8 Newtons/m. The mass is set in
motion by displacing it 10 cm above its equilibrium position with an initial velocity of 2 m/sec in
the upward direction.
a. Find the subsequent motion of the mass if the constant representing air resistance is 2 Newtons.
b. Graph the function x(t) found in part (a) for 0 ≤ t ≤ 3, 2 ≤ t ≤ 3, and 3 ≤ t ≤ 4. Describe the
motion of the mass in your own words.
c. Estimate the greatest distance of the mass above its equilibrium position

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