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    Simple harmonic motion: Position velocity and period

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    A raft is bobbing up and down in a lake. Its vertical position x above the flat surface of the water is given by x=0.60sin(3.0t+4.2), where distances are in metres and time t is in seconds.

    1. What is the boat's position at t=0? At t=2.8s?

    2. What is the period of the raft's oscillation?

    3. What is the boat's maximum speed during this oscillation?

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    https://brainmass.com/physics/velocity/simple-harmonic-motion-position-velocity-period-161838

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    A raft is bobbing up and down in a lake. Its vertical position x above the flat surface of the water is given by x=0.60sin(3.0t+4.2), where distances are in metres and time t is in seconds.

    The raft is simply moving up and down and not rotating hence may be considered as a particle in motion.

    As the displacement of the raft is a sine function of time its motion is Simple harmonic motion.

    The equation of motion of a particle executing simple harmonic motion is given by

    x (t) = A sin (t + )

    where

    A is ...

    Solution Summary

    The equation of motion of the boat in vertical plane is given and the initial position, period and maximum velocity is calculated.

    $2.49

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