Answer:
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Step-by-step explanation:
1.
2. <em>factoring 96</em>
<em>since </em>
3.
<em>using exponent rule - </em>
<em> </em>
4.
<em>doing some simple simplification and and 6=2*3</em>
5.
<em>collecting the roots on one side and applying exponent rule</em>
6.
<em>Applying exponents rule on all and
</em>
<em>7. </em>
<em>combining all powers of 2</em>
8.
<em>Simplifying</em>
9.
10.
11.
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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