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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Answer:
Step-by-step explanation:
According to the Alternate Interior angles theorem, the bottom left angle and the upper right angle have the same measure. Because they were formed from a pair of parallel lines crossed by a transversal one.
So, algebraically:
Answer:
the initial height from which the shot was thrown
Step-by-step explanation:
just took the test
Hey there!
To start, first let's assign a variable to each person:
A to represent the miles biked by Albert
B to represent the miles biked by Bob
Now, let's set up a system of equations:
A=3B
A + B = 72
Next, use substitution (plug 3B in for A in the second equation since A is equal to 3B):
3B + B = 72
Then, simplify and solve:
3B + B = 72
(combine like terms)
4B = 72
(divide both sides by 4)
B=18
Now that you know the amount that Bob biked, you can plug his miles into the equation for Albert: A=3B
B=18
A=3(18)
A= 54
Your final answer would be that Albert biked 54 miles.
Hope this helps!
