Jeff is standing on top of a tree next to a mysterious monolith (a big rectangular box). At time t = 0, Jeff threw a coconut vertically upwards. It landed on the top of the monolith 3 seconds later. The height of the coconut above the ground after t seconds is
Answers
Answer:
[tex]h=\frac{h_{m}-h_{t}+44.145}{3}t-4.905t^{2}+h_{t}[/tex]
(if the heights are measured in meters)
Step-by-step explanation:
In order to solve this problem we will need to first draw a diagram of the situation (see attached picture) and then, make use of the following physics equation:
[tex]y_{f}=\frac{1}{2}at^{2}+v_{0}t+y_{0}[/tex]
where:
[tex]y_{f}[/tex]=height of the object at a given time t
a=acceleration due to gravity
t=time
[tex]v_{0}[/tex]=initial velocity of the object
[tex]y_{0}[/tex]=initial height of the object.
we know most of this data, except for the height of theh object at the given time t and the initial velocity of theh object. We can make use of the given time to write the velocity in terms of the height of thte tree and the height of the monolith.
So let's substitute the values we know so far:
[tex]h=\frac{1}{2}(-9.81)t^{2}+v_{0}t+h_{tree}[/tex]
the problem tells us that after 3 seconds, the object reaches the height of the monolith, so let's do the substitution:
[tex]h_{monolith}=\frac{1}{2}(-9.81)(3)^{2}+v_{0}(3)+h_{tree}[/tex]
we can now solve this equation for the initial velocity, so we get:
[tex]h_{monolith}-h_{tree}=-44.145+3v_{0}[/tex]
[tex]h_{monolith}-h_{tree}+44.145=3v_{0}[/tex]
so:
[tex]v_{0}=\frac{h_{monolith}-h_{tree}+44.145}{3}[/tex]
and now we can substitute this back into the original formula to get the equation that represents the height of the coconut above the ground after t seconds:
[tex]h=\frac{h_{m}-h_{t}+44.145}{3}t-4.905t^{2}+h_{t}[/tex]
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Step-by-step explanation:
radius
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would a triangle with the sides of 16 m, 30 m, and 34 m make a right triangle?
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Answer:
Yes, it would make a right triangle.
Step-by-step explanation:
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So your answer is.
-5
I hope this helps!!
Answer:
(0,-5)
Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
Answer:
2x(x-8)
Step-by-step explanation:
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Answer:
3 because 3 times 4 is 12 and 18 divided by 6 is 3
Step-by-step explanation:
Evaluate 11 1/2 +(−4 2/3)x for x=6.
A. −17 1/2
B. −16 1/2
C. 36 1/6
D. 39 1/2
Answers
Answer:
C
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
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Answer:
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Equation Form:
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Answer:
theres no picture availible
Step-by-step explanation:
what is 28r-9(2r+6) simplied?
Answers
Answer:
10r-54
Step-by-step explanation:
Answer:10r-54
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Answer:
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Step-by-step explanation:
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Answers
Answer:
f(17) = $15.75
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Step-by-step explanation:
Here, we want to calculate f(17)
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y = 0.75x + 3
For f(17), substitute x for 17
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y=4/5x+4
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answers
Answer: 300cal ≤ y ≤ 1200 cal
Step-by-step explanation:
Let's define x as the number of cookies that you eat, and y as the number of calories you consume in those cookies.
"if you eat no fewer than 2 cookies..."
This is written as:
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This means that x can be equal to 2, or larger than 2.
"...and no more than 8 cookies"
This is written as:
x ≤ 8
This means that x can be smaller than 8 or equal to 8.
If we combine those two, we have:
2 ≤ x ≤ 8
And we know that each cookie contains 150 calories, and rememer that these numbers represent number of cookies, then the numbers of calories will be:
2*150 cal ≤ y ≤ 8*150 cal
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Answers
Answer:
B.
Step-by-step explanation:
55.5 kilometers would be 1° of the longitude measure in kilometers at 45° latitude north.
What are longitude and latitude?Latitudes are horizontal lines that indicate how far away from the equator a location is. Longitudes are vertical lines that represent the east and west directions relative to Greenwich, England's meridian. Cartographers, geographers, and others can pinpoint points or locations on the globe by combining latitude and longitude.
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Answer:
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Step-by-step explanation:
Step-by-step on how to solve it is in the image below.
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Step-by-step explanation:
Answer:
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Answer:
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Step-by-step explanation:
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...........
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Given:
There exist a proportional relationship between x and y.
To find:
The equation which represents a proportional relationship between x and y.
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If there exist a proportional relationship between x and y, then
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We know that, proportional relationship passes through the origin because (0,0) satisfy .
For x=0, check which equation has y=0.
In option A, .
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation: