A Spring with a 3-Kg Mass Is Held Stretched 0 $$1$$

question 8

Multiple Choice

A spring with a 3-kg mass is held stretched 0.9 m beyond its natural length by a force of 30 N. If the spring begins at its equilibrium position but a push gives it an initial velocity of $$1$$ m/s, find the position x(t) of the mass after t seconds.

• A) \(x ( t ) = 1 \sin ( 7 t )\)
• B) \(x ( t ) = 0.3 \sin \left( \frac { 10 } { 3 } t \right) + 0.4 \cos \left( \frac { 10 } { 3 } t \right)\)
• C) \(x ( t ) = 0.3 \sin \left( \frac { 10 } { 3 } t \right)\)
• D) \(x ( t ) = 0.4 \cos \left( \frac { 10 } { 3 } t \right)\)
• E) \(x ( t ) = \frac { 10 } { 3 } \sin ( 7 t )\)

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