For Exercises 15-22, suppose that an object is attached to a horizontal spring subject to the given conditions. Find a model for the displacement d as a function of the time t . (See Example 1) Initial Displacement d at t = 0 Amplitude Period or Frequency 4.1 cm 4.1 cm 2 sec
For Exercises 15-22, suppose that an object is attached to a horizontal spring subject to the given conditions. Find a model for the displacement d as a function of the time t . (See Example 1) Initial Displacement d at t = 0 Amplitude Period or Frequency 4.1 cm 4.1 cm 2 sec
Solution Summary: The author explains the model for the displacement d as a function of the time t, for an object that is attached to the horizontal spring.
For Exercises 15-22, suppose that an object is attached to a horizontal spring subject to the given conditions. Find a model for the displacement
d
as a function of the time
t
. (See Example 1)
Initial Displacement
d
at
t
=
0
Amplitude
Period or Frequency
4.1
cm
4.1
cm
2
sec
A buoy floating in the ocean is bobbing in simple harmonic motion with period 6 seconds and amplitude 3 ft. Its
displacement d from sea level at time t = 0 seconds is 0 ft, 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.
Osino Ocos O
During a 12.8-hour period, the water level at Bay of Fundy, Nova Scotia, started at mean sea level (h=0), rose to 23.8 ft above sea level, dropped to 23.8 ft below mean sea level, and then returned to mean sea
level. Which of the following model describes the height of the tide in ft as a function of time in hours, h(t) ?
23.8 sin (12.8 t)
23.8 sin(12.8 t)
47.6 sin(0.15625 t)
47.6 sin(12.8 t)
23.8 sin(0.15625 t)
47.6 sin (12.8t)
University Calculus: Early Transcendentals (4th Edition)
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