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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5th grade math. Correct answer will be marked brainliest.
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Answer:
Leslie's answer shows 10 hundredths, which is the same as the 1 tenths in Paul's answer. So both answers are correct.
Step-by-step explanation:
A zero at the end of a decimal number is redundant, it makes no different to the value. It's kind of like how 010 is equal to 10. There is no point in the extra zero at the front. I hope this helps!
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Answer:larger=48, smaller=12
Source:trust me bro
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Answer:
C = 7π
Step-by-step explanation:
Diameter: 7 feet
Formula: C = πd (Circumstance = π × Diameter)
C = 7π
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Answer:
theres no picture availible
Step-by-step explanation:
Which polynomial function could be represented by the graph below?
On a coordinate plane, a parabola opens up. It goes through (negative 2, 0), has a vertex at (negative 0.5, negative 4.5), and goes through (1, 0).
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Answers
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B! just took it!
Step-by-step explanation:
Answer:
B. f(x) = 2x2 + 2x – 4
Step-by-step explanation:
it's lit!!!
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I think.
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Answers
So your answer is.
-5
I hope this helps!!
Answer:
(0,-5)
Step-by-step explanation:
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Answers
Answer: 2x(x - 8)
6x² - 4x² - 16x
= 2x² - 16x
= 2x(x - 8)
Step-by-step explanation:
Answer:
2x(x-8)
Step-by-step explanation:
Evaluate.
6x²-4x²-16x = 2x²-16x
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One degree of longitude at the equator is approximately 111 km. As we move north or south the size of a degree changes. How many kilometers would 1° of longitude measure in kilometers at 45° latitude north? A. 55.5 kilometers B.222 kilometers C. 444 kilometers D. 0 kilometers
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.
Given, At the equator, one degree of longitude is around 111 kilometers. The size of a degree fluctuates as we go north or south. since the equator is perpendicular to the pole. which is 90 degrees hence it's asking distance of 45 therefore from the proportionality concept in a right angle triangle. the distance at 1 is at 45 latitudes is 111/2 or 55.5.
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Learn more about longitude and latitude here:
https://brainly.com/question/13492273
#SPJ2
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Answers
Answer:
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Step-by-step explanation:
I think first once is correct ...
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Answers
Given:
There exist a proportional relationship between x and y.
To find:
The equation which represents a proportional relationship between x and y.
Solution:
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, .
In option B, .
In option C, .
In option D,
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Step-by-step explanation:
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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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Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
if im wrong im sorry
Answer:
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Step-by-step explanation:
Edge
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Answers
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Step-by-step explanation:
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:
Step-by-step on how to solve it is in the image below.
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Answers
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Step-by-step explanation:
Answer:10r-54
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Answers
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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
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If we combine those two, we have:
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Answers
...........
TRANSPORTATION The cost of riding in a cab is $3.00 plus $0.75 per mile. The equation that represents this relation is y=0.75x+3, where x is the number of miles traveled and y is the cost of the trip. Find and interpret f(17).
Answers
Answer:
f(17) = $15.75
The amount it takes for a trip of 17 miles is $15.75
Step-by-step explanation:
Here, we want to calculate f(17)
The equation is given as;
y = 0.75x + 3
For f(17), substitute x for 17
y = 0.75(17) + 3
y = 12.75 + 3
y = $15.75
What f(17) means is that the ride was for 17 miles
$15.75 is for a trip of 17 miles
43+9=10+42 and 10+42=52, then 43+9