Simple Harmonic Motion - Velocity and Acceleration Equation Derivations

The video tutorial covers the derivation of equations for position, velocity, and acceleration in simple harmonic motion (SHM). It begins with a review of the position equation and introduces the concept of angular frequency. The tutorial then incorporates the phase constant into the position equation, followed by deriving the velocity and acceleration equations using calculus. The video concludes with a summary of maximum values for position, velocity, and acceleration, and a reminder to use radian mode for calculations.

What is the equation for the position of an object in simple harmonic motion?

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How is angular frequency related to frequency?

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What is the relationship between position and velocity in simple harmonic motion?

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Explain how to derive the velocity equation from the position equation.

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What is the maximum value of velocity in simple harmonic motion?

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How do you derive the acceleration equation from the velocity equation?

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What must be true about the angles used in the equations for simple harmonic motion?

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