# TRIGONOMETRIC FUNCTIONSМаxWord problem involving a sine or cosine function: Problem type 1EspañolA buoy floating in the sea is bobbing in simple harmonic motion with period 1 second and amplitude 12 in. Its displacement d from sea level at time t0seconds is 0 in, and initially it moves downward. (Note that downward is the negative direction.)Give the equation modeling the displacement d as a function of time tcossin?AaALEKS Max Stephens - LearnX

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See attachment help_outlineImage TranscriptioncloseTRIGONOMETRIC FUNCTIONS Маx Word problem involving a sine or cosine function: Problem type 1 Español A buoy floating in the sea is bobbing in simple harmonic motion with period 1 second and amplitude 12 in. Its displacement d from sea level at time t0 seconds is 0 in, and initially it moves downward. (Note that downward is the negative direction.) Give the equation modeling the displacement d as a function of time t cos sin ? Aa ALEKS Max Stephens - Learn X fullscreen
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Step 1

Given,

Amplitude = 12 in.

Period = 1 seconds.

Since, d at t = 0 is 0 in. help_outlineImage TranscriptioncloseLet the displacement be d a sin (wt + ) So, a amplitude = -12 in. (it moves downward) angular velocity 2T Period 2m 2π Tad/sec . 1 fullscreen
Step 2

Now, at t = 0,... help_outlineImage TranscriptioncloseSo, sin(p) 0 So, putting the value of a, p and w,we get . d 12 sin(2nt 0) 12 sin(27nt) fullscreen

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