Answer:
Step-by-step explanation:
or
Step-by-step explanation:
has:
1) amplitude=|a|
2) phase shift=b
3) period=2pi/c
d) vertical shift=d
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You are given the amplitude is 2. This means a could either be 2 or -2.
You are given phase shift is -1/8. This means b is -1/8.
You are given the period is pi. So we need to solve pi=2pi/c.
pi=2pi/c
Dividing both sides by pi gives:
1=2/c
Multiply both sides by c gives:
c=2
The vertical shift is -2 so d=-2.
The equation could either be:
y=2cos(2(x-(-1/8)))-2
or
y=-2cos(2(x-(-1/8)))-2
Simplifying a little gives:
y=2cos(2x+1/4)-2
y=-2cos(2x+1/4)-2
Calculate out how many times the denominator goes into the numerator. To do that, divide 234 by 8 and keep only what is to the left of the decimal point:
5 x 3/4 = 15/4
15/4 = 3 3/4
Answer:
732.21 m
Step-by-step explanation:
Given the time taken by cadet to cross an obstacle and swing back to where he started = 5.5 seconds
The formula for a complete oscillation(to and fro) period is
<h2>T = 2π * √(L/g)</h2>
where:
<em>T is the period of oscillations</em><em> - time that it takes for the pendulum to complete one full back-and-forth movement.</em>
<em />
<em>L is the length of the pendulum </em>
<em />
<em>g is the acceleration of gravity, which</em><em> is equal to 9.81 m/s^2 </em>
5.5 = 2 π √(L / 9.81)
5.5/2π = √(L / 9.81)
8.64 = √L / 9.81
8.64 ² = L / 9.81
74.64 = L / 9.81
L = 74.64 * 9.81
L = 732.21 m
