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A ball of mass 2.0 kg is suspended vertically at the end of a massless spring....

A ball of mass 2.0 kg is suspended vertically at the end of a massless spring.

When the sping is stretched 6.0cm long from its natural length, the ball reaches its equilibrium position.

1) Calculate the spring constant k.

2) Calculate the ball's angular frequency ω.

3) Determine the two coefficients in the general solution if the call has initial velocity 6.5m/s up with initial position down at 2.5cm.

4) Calculate position, x(t=2.0s).

5) Calculate velocity, vx(t=2.0s).

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