Answer:
The projectile will reach a height of 96 feet after about 0.84 seconds as well as after about 7.16 seconds.
Step-by-step explanation:
The height of a projectile fired upward is given by the formula:
Where <em>s</em> is the height in feet, <em>v</em>₀ is the initial velocity, and <em>t</em> is the time in seconds.
Given a projectile with an initial velocity of 128 ft/s, we want to determine how long it will take the projectile to reach a height of 96 feet.
In other words, given that <em>v</em>₀ = 128, find <em>t</em> such that <em>s</em> = 96.
Substitute:
This is a quadratic. First, we can divide both sides by -16:
Isolate the equation:
The equation isn't factorable, so we can consider using the quadratic formula:
In this case, <em>a</em> = 1, <em>b</em> = -8, and <em>c</em> = 6. Substitute:
Simplify:
Hence, our two solutions are:
So, the projectile will reach a height of 96 feet after about 0.84 seconds as well as after about 7.16 seconds.
I would say 8:00 between 6:00 and 10:00 cause it seems to be progressing in increments of 2 hours
Answer:
3/9
.......the answer is 3/9...........
Answer:
y = cos(3/2x)
Step-by-step explanation:
A general sine or cosine function will have parameters of amplitude, vertical and horizontal offset, and period. The values of these parameters can be determined from the given graph.
y = A·cos(2π(x -B)/P) +C
where A is the amplitude, B and C are the horizontal and vertical offsets, and P is the period.
<h3>Amplitude</h3>
For sine and cosine functions, the amplitude of the function is half the difference between the maximum and minimum:
A = (3 -1)/2 = 1
<h3>Horizontal offset</h3>
A sine function has its first rising zero-crossing at x=0. A cosine has its first peak at x=0. The given graph has its first peak at x=0, so it is a cosine function with no horizontal offset.
B = 0
<h3>Vertical offset</h3>
For sine and cosine functions, the vertical offset is the average of the maximum and minimum values:
C = (3 +1)/2 = 2
<h3>Period</h3>
The period is the difference in x-values between points where the function starts to repeat itself. Here, we can use the peaks to identify the period as 4π/3.
P = 4π/3
<h3>Function equation</h3>
Using the parameter values we determined, the function can be written as ...
y = cos(3/2x) +2
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<em>Additional comment</em>
The argument of the cosine function is ...