In the equation model, the simple harmonic motion is d=6sin(πt/4)-6 if the object moves in simple harmonic motion with a period of 8 seconds and amplitude of 6 cm.
<h3>What is simple harmonic motion?</h3>
Simple Harmonic Motion is described as a motion in which the restoring force is proportionate to the body's displacement from its mean position.
We have:
Amplitude A = 6 cm
Time period = 8 seconds
T = 2π/w
8 = 2π/w
w = π/4
Its displacement d from rest is -6 cm, and initially, it moves in a positive direction.
d(0) = -6 cm at t = 0
The equation becomes:

Thus, in the equation model, the simple harmonic motion is d=6sin(πt/4)-6 if the object moves in simple harmonic motion with a period of 8 seconds and amplitude of 6 cm.
Learn more about the simple harmonic motion here:
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Keeping in mind that 120 days is not even a year, since there are 365 days in a year, exluding leap-years, then 120 days is really 120/365 year.
Answer:
Concept: Mathematical Analysis
- They go in opposite directions
- They start at the same point, let's define that as (0,0) on the ordinary differntiable x-y axis
- Hence Tom can ride 20 units left in one hour and Juanita can ride 20 units right in one hour.
- We want to know the distance they are at the end of 2 hours
- So we set up the equation y= 20(x)
- Let x be the hours and y be the distance
- So 20×2=40 miles
- At the end of 2 hours they will be 40 miles apart assuming constant rate of change and a starting point of (0,0)
Answer:
(30,784) and (58,0),(2,0)
Step-by-step explanation:
The vertex is (30,784)
The X-intercept is (58,0),(2,0)
The Y-intercept is (0,-116)