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]
Related Questions
Find the distance between 5 + 4i and 9 + 3i.
Answers
Answer:
Distance = √17
Step-by-step explanation:
We are looking for the distance between 5 + 4i and 9 + 3i.
This is as equal to saying we have two points in the plane, whose coordinates are; (5, 4) and (9, 3)
Distance between the 2 points will be;
D = √[(5 - 9)² + (4 - 3)²]
D = √(16 + 1)
D = √17
terms and like terms in the expression 4a−9+3a.
Answers
Examples to help:
2a + 4 (Unlike terms cannot be simplified)
4a + 3b (Unlike terms cannot be simplified)
6a – 3a = 3a
8b – 8b = 0
5a – 3 (Unlike terms cannot be simplified)
6a – 4b (Unlike terms cannot be simplified)
These are not the awnsers they are just examples
Adams High School is going to select a committee. The committee will have a faculty member, a male student, a female student, a parent, and a school board member. Here are the positions and the people interested in each. Position People interested Faculty member Mr. Jackson, Mrs. Washington Male student Tom, Omar, Keith, Justin Female student Donna, Charmaine, Rita, Keiko Parent Dr. Ward, Ms. Allen, Mrs. Flores, Mrs. Smith School board member Dr. Davis, Ms. Young, Mrs. King, Mr. Adams Based on this list, how many ways are there to fill the five committee positions?
Answers
Answer:
512 ways
Step-by-step explanation:
Given
Selection
Faculty Member = 1
Male Student = 1
Female Student = 1
Parent = 1
School Board Member = 1
Select from:
Faculty Member = 2
Male Student = 4
Female Student = 4
Parent = 4
School Board Member = 4
Required
Determine how many ways they can be selected
There are 2 faculty members of which 1 will be selected from.
Any of these two members may be selected.
So, Selection = 2
There are 4 male students of which 1 will be selected from.
Any of these four students may be selected.
So, Selection = 4
There are 4 female students of which 1 will be selected from.
Any of these four students may be selected.
So, Selection = 4
There are 4 parents of which 1 will be selected from.
Any of these four parents may be selected.
So, Selection = 4
There are 4 school board members of which 1 will be selected from.
Any of these four members may be selected.
So, Selection = 4
Total number of selection is then calculated as thus:
[tex]Selection = 2 * 4 * 4 * 4 * 4[/tex]
[tex]Selection = 512[/tex]
Hence, there are 512 ways
Does anyone know the answer to this ? I need help!
Answers
“Yes i do know the answer”
Im jp
Its
9h+12
What value of x is in the solution set of 2x. 3 > 11 - 5x?
a. -3
b. 0
c. 2
d. 4
Answers
Answer:
i think option d
Answer:
The answer is D : 4.
Step-by-step explanation:
=2x-3>11-5x
=2x-3+5x>11
=7x-3>11
=7x>11+3
=7x>14
=7x/7>14/7
=x>2
By simplifying the problem, you can see that "x" must be greater than 2. Therefore, eliminating all other possible answers that are shown, but 4.
I answered the same questions with the same exact wording and explanation so please don't report any answers that are the same as this one, they are all mine and written by me.
A hollow shaft has an outside diameter of 6.0cm and an inside
diameter of 4.0cm. The cross-sectional area of the shaft is:
Select one:
O a. 1571 mm sa
O b. 6283 mm sa
O c. 628 mm sa
O d. 1257 mm sa
Next page
Jump to...
.
Answers
The cross-sectional area of the shaft is 314 mm²
The outside diameter (d₂) = 6 cm = 60 mm
The inside diameter (d₁) = 4 cm = 40 mm
The cross sectional area of the shaft (A) is given by:
A = π(d₂ - d₁)²/4
Substituting values:
A = π(60 - 40)²/4
Simplifying the equation:
A = 314 mm²
The cross-sectional area of the shaft is 314 mm²
Find out more at: https://brainly.com/question/23745017
HELP ME AS SOON AS POSSIBLE!!! HURRY BEFORE SOMEBODY ELSE ANSWERS!
Sam is playing with his slingshot and launches a rock straight up in the air with an initial upward velocity of 120 ft/sec. Gravity slows the rock’s upward velocity and it eventually changes directions and falls back down to the ground. The height of the rock is defined using the function h(t) = -16t2 + 120t. What is a reasonable value of the domain, t?
a.) 5 seconds
b.) 1 seconds
c.) 90 seconds
d.) -4 seconds
Plz help ASAP!
Answers
9514 1404 393
Answer:
a) 5 seconds
Step-by-step explanation:
Usually in such scenarios, we're interested in position and time where h(t) ≥ 0. For the given equation, that is 0 ≤ t ≤ 7.5. Values of t that are negative, and values of t that give h(t) a negative value are generally not of interest.
Then, the choice between a domain of [0, 1] and one of [0, 5] will depend on the reason for using the equation. We expect that the longer of these two domains is likely to be more reasonable:
5 seconds
Answer:
a.) 5 seconds
Step-by-step explanation:
can someone help plz
Answers
Answer:
I think it B
Step-by-step explanation:
I think it is B
mary is 5 feet and 7 inches tall how tall is mary in inches?
Answers
Hey guys! I have some math questions I need help with! If your interested to help me please comment! Pls help me ASAP I don’t have time. You can put you snap or instagram user so I can DM you.
Answers
Answer: what is your question
Step-by-step explanation: Also for what subject
4 Sheila buys 200 shares of stock at $18.25 per share and sells them at $32.50 per
share.
Her total profit is
Answers
Answer:
Step-by-step explanation:
If Sheila buys
200 shares for 18.25
200*18.25==3650
she sells them for
200*32.50=6500
her profit is
6500-3650=2850.00
another way to solve this would be
32.50-18.25=14.25
14.25*200=2850
Anna and Elsa are helping set up for the Christmas celebration at Magic Kingdom. They have to install 7 million lights for the annual display. It takes Elsa 14 days to set up the 7 million lights by herself and it takes Anna 11 days to set up the 7 million lights by herself. How long will it take them to do it together?
Answers
Answer:
If they work together, they will take 6.16 days.
Step-by-step explanation:
Elsa takes 14 days to complete the work.
So, 1 day work by Elsa is [tex]\frac{1}{14}[/tex]
Anna takes 11 days to complete the work.
So, 1 day work by Anna is [tex]\frac{1}{11}[/tex].
So, Let if they work together, it would take x number of days.
So, we can set up equation as
[tex]\frac{1}{14} +\frac{1}{11}=\frac{1}{x}[/tex]
Find LCD, which is 154.
[tex]\frac{11}{154} +\frac{14}{154} =\frac{1}{x}[/tex]
Simplify
[tex]\frac{25}{154} =\frac{1}{x}[/tex]
Cross multiply,
25x=154
Divide both sides by 25
x=6.16 days
If they work together, they will take 6.16 days.
Select the correct answer.
Over which interval of the domain is function m negative?
Answers
Answer:
The interval of the domain over which the function m is negative
will be: (6, ∞)
Step-by-step explanation:
We have to determine the interval of the domain over which the function m is negative.
The x-intercept of the graph is:
at y = 0, x = 6
(0, 6) is the x-intercept.
From the graph, it is clear that at the x-intercept x=6, the graph tends to continue downward towards infinity i.e. (6, ∞) where the graph would be negative as it is heading downwards.
Thus, the interval of the domain over which the function m is negative will be: (6, ∞)
Answer: (6,00)
Step-by-step explanation:
Captain Marvel — is sighted at an altitude of 300 feet and is descending
(down) at a rate of 10 feet
per
second.
Answers
Answer:
She will touch ground in 30 seconds
Step-by-step explanation:
Answer:
So I Don't Know What The Question Is? But Captain Marvel Will Hit The Ground In 30 Seconds
Step-by-step explanation:
300 Divided By 10 Is 30 :)
Write the translation notation for 2 units left and 3 units up
Answers
Answer:
(-2,3)
Step-by-step explanation:
The left and down is negative and right and up is positive
Brenda took her dog to the veterinarian for an exam. The doctor told Brenda her dog needed to lose weight. Her dog weighed 55 pounds during this visit. The doctor suggested that her dog 45 pounds by their next visit. What is this weight decrease represented as a percent?
Answers
Answer:
18%Step-by-step explanation:
Step one;
given
initial weight = 55 pounds
final weight= 45 pounds
Step two:
Required
the % weight decrease
% decrease= initial-final/initial *100
% decrease= 55-45/55 *100
% decrease= 10/55 *100
% decrease= 0.18 *100
% decrease= 18%
Write the word sentence as an equation. Then solve. A number divided by -9 is -16.
Answers
Answer:
X÷-9=-16 x=144
Junior's brother is 1\dfrac121 2 1 1, start fraction, 1, divided by, 2, end fraction meters tall. Junior is 1\dfrac151 5 1 1, start fraction, 1, divided by, 5, end fraction of his brother's height.
Answers
Answer:
1 4/5 meters
Step-by-step explanation:
Juniors brother = 1 1/2 meters tall
Junior is 1 1/5 of his brother height
Junior = 1 1/5 of 1 1/2
= 6/5 × 3/2
= 6 * 3 / 5 * 2
= 18/10
= 1 8/10
= 1 4/5 meters
Junior is 1 4/5 meters tall
Answer:
1 4/5
Step-by-step explanation:
its on khan (: trust me
PLEASE HELP!!!
Segments DE, EF, and DF are midsegments of AABC. Find the length of the indicated
segment.
Answers
Answer:
6
Step-by-step explanation:
You know DF = 6 and EB = 6 too. Since E is the mid-point of AEB, EB and AB are equal.
DF = EB
= AB
= 6
Solve the equation by finding the common multiple.
three fourths minus two sixths plus seven twenty fourths equals blank
Help!
Answers
1253/9997 or 0.12534
My explanation~3/4 - 2/6 + 7/24
convert into decimals3/4 = 0.75
2/6 = 0.333
7/24 = 0.29166
then use PEMDAS add first0.333 + 0.29166 =
0.62466
then subtract0.75 - 0.62466 =
0.12534
then convert back or leave as is1253/9997
what you would get when converting back to a fractionhope i helped :P---------------------------------------------------------------Answer: 11/6 that is it!
Pls. Help me!!!!!!!!!!!!!!!!!!
Answers
Answer:
d i think
Step-by-step explanation:
Answer: C
Step-by-step explanation:
our points are
(0, 64) and (17, 30)
slope = 30-64/17-0 = -34/17 = -2
y=-2x+64 aka C
What is the appropriate sequence of events for protein synthesis?
A. Amino acids link to form polypeptides, which fold into proteins
B. Polypeptides link to form amino acids, which fold into proteins
C. Proteins link to form amino acids, which fold into polypeptides
D. Amino acids link to form proteins which fold into polypeptides
Answers
The correct sequence of events in protein synthesis is transcription, then translation.
Graph the ordered pairs for y=4x+2 using x={-2, 1, 2}
Answers
PLEASE HELP DON’T ANSWER IF YOU DON’T KNOW!! Mr. Sanchez drives 120 miles in 3 hours. At the same rate, how far will he drive
in 5 hours?
Answers
Answer:
200 miles
Step-by-step explanation:
First have to find how many miles he drives in 1 hour. So, we divide 120 miles by 3 hours, since we assume that he managed to drive an equal amount in each hour.
120/3=40
This shows that Mr. Sanchez drove at a rate of 40 mph.
But, this isn't the answer. 40 miles is the distance for one hour of driving. To find the distance for 5 hours, we have to multiply the distance by 5 as well.
40 times 5=200
O 200 miles
Explination~first you start by dividing 120 by 3 to find out how many miles he drives in one hour120 ÷ 3
=
40
Then you would time 40 by 5 to get how many miles he can drive in 5 hours40 × 5
=
200
------------------------------------------------------------------------Hope I helped!!
What is 6/7 x 8-/9 hi ok pls help
Answers
Answer:
48/63
Step-by-step explanation:
16/21 in fraction form
Answer:
-16/21
Step-by-step explanation:
Multiply the numerators together then the denominators. (-48/63)
Reduce Divide each side by 3 (-16/21)
Anyone know how to do identify the features?
Answers
Does anyone know the answer to this please
I’m stuck on it .
Answers
Answer:
a=1/4
b=1/8
c=1/81
Source:trust me bro
2 The point C ( − 3 , − 1 ) C(−3, −1) is rotated 18 0 ∘ 180 ∘ clockwise about the origin. What are the coordinates of the resulting point, C ′ C ′ ? A (3, 1)(3, 1) B (−3, 1)(−3, 1) C (3, −1)(3, −1) D (−1, −3)(−1, −3)
Answers
Answer:
A (3, 1)Step-by-step explanation:
If we have the coordinate (x,y), if this coordinate is rotated by 180 degrees clockwise, the resulting coordinate will be expressed as (-x, -y) i.e the original coordinate axis are both negated.
Given the coordinate C(-3, -1), if this coordinate is rotated clockwise about the origin, the coordinate of the resulting point will be at C' (-(-3), -(-1))
C' (-(-3), -(-1))
C' = (3, 1)
Hence option A is correct
The four members of the "Fantastic Four" made 40 cookies each for the bake sale. They know that 35% of their cookies are chocolate chip.
How many chocolate chip cookies were made?
Answers
Answer:
54% I think and if im wrong im so sorry.
Step-by-step explanation:
Please answer the following question below
Answers
Answer:
65°
Step-by-step explanation:
The tangent is perpendicular to the diameter BD therefore m‹CBR=90°-25°=65°
