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Asked Sep 28, 2019
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TRIGONOMETRIC 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
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TRIGONOMETRIC 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

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Expert Answer

Step 1

Given,

           Amplitude = 12 in.

           Period = 1 seconds.

           Since, d at t = 0 is 0 in.

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Let the displacement be d a sin (wt + ) So, a amplitude = -12 in. (it moves downward) angular velocity 2T Period 2m 2π Tad/sec . 1

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Step 2

Now, at t = 0,...

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So, sin(p) 0 So, putting the value of a, p and w,we get . d 12 sin(2nt 0) 12 sin(27nt)

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