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 − 12 m 12 m 4 Hz
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 − 12 m 12 m 4 Hz
Solution Summary: The author explains the model for the displacement of an object as a function of the time t.
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
−
12
m
12
m
4
Hz
7.
The number of visible sun spots varies rhythmically from 10
to 110 per year over a period of eleven years. The 110 max last
occurred in the year 2014.
a.)
b.)
Write a sinusoidal function N (t) to model that number of sun
spots per year, where t is in years past the year 2014.
What number of sun spots does your function predict for the
year 2018?
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
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Area Between The Curve Problem No 1 - Applications Of Definite Integration - Diploma Maths II; Author: Ekeeda;https://www.youtube.com/watch?v=q3ZU0GnGaxA;License: Standard YouTube License, CC-BY