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Effect of Frequency in a Sinusoidal Model

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The motion of a pendulum is modeled by the function y(t)=sin⁡(t)+0.5sin⁡(3t)y(t) = \sin(t) + 0.5\sin(3t). What would be the effect on the modeled motion if the frequency in the second term were doubled to 6t6t?

A

The resulting function would include higher frequency oscillations, making the overall motion more erratic.

B

The amplitude of the oscillations would decrease, resulting in a smaller overall motion.

C

The resulting waveform would become constant due to perfect cancellation of the oscillatory components.

D

The function would simplify to a single sine function with an average frequency of the two original terms.

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