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The cart is moving by simple harmonic motion, and its position at time t is described by
where
A is the amplitude of the oscillation
is the angular frequency
The amplitude of the oscillation corresponds to the maximum displacement of the spring, which corresponds to the initial position where the spring was released:
A=0.250 m
The period of the motion is T=5.67 s, and the angular frequency is related to the period by
Therefore now we can calculate the position of the system at the time t=29.6 s:
where
A is the amplitude of the oscillation
The amplitude of the oscillation corresponds to the maximum displacement of the spring, which corresponds to the initial position where the spring was released:
A=0.250 m
The period of the motion is T=5.67 s, and the angular frequency is related to the period by
Therefore now we can calculate the position of the system at the time t=29.6 s: