A faulty model rocket moves in the xy-plane (the positive y-direction is vertically upward). The rocket's...

A faulty model rocket moves in the xy-plane (the positive y-direction is vertically upward). The rocket's acceleration has components ax(t)=αt2 and ay(t)=βγt, where α = 2.50 m/s4, β = 9.00 m/s2, and γ = 1.40 m/s3. At t=0 the rocket is at the origin and has velocity v⃗ 0=v0xi^+v0yj^ with v0x = 1.00 m/sand v0y = 7.00 m/s.

A)Calculate the velocity vector as a function of time.

Express your answer in terms of v0x, v0y, β, γ, and α. Write the vector v⃗ (t) in the form v(t)x, v(t)y, where the x and y components are separated by a comma.

B)Calculate the position vector as a function of time.

Express your answer in terms of v0x, v0y, β, γ, and α. Write the vector r(t)→ in the form r(t)x, r(t)ywhere the x and y components are separated by a comma.

C)What is the maximum height reached by the rocket?

D)Sketch the path of the rocket( x-axies presents x,m ;10000,20000,30000 , 40000)(y-axies presents y,m ; 100,200,300,400)<--- plz make the the point clear so I sketch it right

E)What is the horizontal displacement of the rocket when it returns to y=0?(in KM)

"clear answers plz"

In: Physics

A charged nonconducting rod, with a length of 3.68 m and a cross-sectional area of 2.79...

A charged nonconducting rod, with a length of 3.68 m and a cross-sectional area of 2.79 cm2, lies along the positive side of an x axis with one end at the origin. The volume charge density ρ is charge per unit volume in coulombs per cubic meter. How many excess electrons are on the rod if ρ is (a) uniform, with a value of -2.07 µC/m3, and (b) nonuniform, with a value given by ρ = bx2, where b = -2.89 µC/m5?

In: Physics

Please list your 3 most favorite brands and say why. 1. 2. 3. Please list your...

Please list your 3 most favorite brands and say why.

1.

2.

3.

Please list your 3 least favorite brands and say why.

1.

2.

3.

In: Operations Management

Six years from today you need $10,000. You plan to deposit $1,600 annually, with the first...

Six years from today you need $10,000. You plan to deposit $1,600 annually, with the first payment to be made a year from today, in an account that pays a 6% effective annual rate. Your last deposit, which will occur at the end of Year 6, will be for less than $1,600 if less is needed to reach $10,000. How large will your last payment be? Do not round intermediate calculations. Round your answer to the nearest cent.

$  

In: Finance

1. How did IBM become the dominant IT industry leader? 2. What changed that knocked IBM...

1. How did IBM become the dominant IT industry leader?

2. What changed that knocked IBM off its industry leader position?

3. What did the new outside CEO Lou Gerstner do that saved IBM?

In: Computer Science

Rental Shop A. Create an abstract class named SummerSportRental that is to be used with for...

Rental Shop
A. Create an abstract class named SummerSportRental that is to be used with for a summer sports rental
shop. The SummerSportRental class must have the properties of newModel which takes on the type
boolean, and rentalCost which takes on the type double, and rentalNumber which is an identification
number as an long integer.These member variables must all be private!
It also must include the following member functions:
1. equals() which returns true if two SummerSportRental objects have the same rentalNumber.
2. all of the appropriate get/set methods for each of the above member variables. Make sure to have
data validation done on the set methods to prevent invalid/illegal values from being passed into the
member variables. (Example: rentalCost should not be allowed to be negative).
3. include an abstract method named lateCharge, that will only be implemented in child classes that
inherit the SummerSportRental class.
B. Create three children classes that inherit the SummerSportRental class, named WaterSkiRental,
PaddleboardRental, and BeachCruiserBikeRental.
The WaterSkiRental class should have one private member variable named size as an integer that will be
used to store the size of the water ski in centimeters. Implement the get/set method for this member
variable. The abstract method in the SummerSportRental class, named lateCharge must be implemented to
charge a late charge of 10% of the rental cost. Be sure to include a method named toString to output the
data stored in the member variables for this class. No main method in the class allowed!
The PaddleboardRental class should have two private member variable named size as an integer that will
be used to store the size of the paddle board in centimeters, and another member variable named style as
an enumerated type with the values (SINGLE, DOUBLE to denote if the paddle board is a single person
board or a two person board). Implement the get/set methods for these member variables. The abstract
method in the SummerSportRental class, named lateCharge must be implemented to charge a late charge
of 20% of the rental cost. Be sure to include a method named toString to output the data stored in the
member variables for this class. No main method in the class allowed!
The BeachCruiserBikeRental class should have two private member variable named wheel_szie as an
integer that will be used for storing the wheel size in centimeters of the beach cruiser bike, and another
member variable named capacity as an enumerated type with the values (SINGLE, DOUBLE, TRIPLE
[which has a very stylin' side cart to it]) that stores the seating capacity of the beach cruiser bike. Implement
the get/set methods for these member variables. The abstract method in the SnowSportRental class, named
lateCharge must be implemented to charge a late charge of (20+capacity*5)% (late charge for single=25%,
double=30%, triple=35%) of the rental cost. Be sure to include a method named toString to output the data
stored in the member variables for this class. No main method in the class allowed!
C. Create separate test class source files with their respective main methods to test each implemented
method in the WaterSkiRental, PaddleboardRental, and BeachCruiserBikeRental classes. The list below is
the minimums for the test cases for each of the child classes:
WaterSkiRental:
1. equals() method
2. newModel ( test get and set )
3. rentalCost ( test get and set )
4. rentalNumber ( test get and set )
5. size ( test get and set )
6. lateCharge - make sure it adheres to the specifications above.
7. toString ( test toString method )
A total of 11 tests for WaterSkiRental class ( tests 1-4 are actually for the SummerSportRental class, and will
not need to be repeated for PaddleboardRental and BeachCruiserBikeRental class test )
PaddleboardRental:
1. size ( test get and set )
2. style ( test get and set )
3. lateCharge - make sure it adheres to the specifications above.
4. toString ( test toString method )
A total of four tests for PaddleboardRental class
BeachCruiserBikeRental:
1. wheel_size ( test get and set )
2. capacity ( test get and set )
3. lateCharge - make sure it adheres to the specifications above.
4. toString ( test toString method )
A total of four tests for BeachCruiserBikeRental class
You are to submit:
Zipfile of your Final Project with the following name format: LastName_FirstName_Final.zip
Programmer Documentation File
Note: make sure to thoroughly read through all of the requirements for this project. Specifications will be
very strictly enforced.

How do I do this in JAVA?

In: Computer Science

1-Suppose a Styrofoam cup that weighs 5 grams was used for this experiment in place of...

1-Suppose a Styrofoam cup that weighs 5 grams was used for this experiment in place of the aluminum calorimeter. What differences in the analysis and results might you expect? The specific heat of Styrofoam is 0.3 kcal/kg-°C (0.3 cal/g-°C) and its thermal conductivity is 0.00008 cal/sec-cm-°C.

2- What amount of heat per unit mass must be removed from water at 0°C to change it back to ice?

In: Physics

is the current, highly-political, method for selecting and seating justices on the United States Supreme Court...

is the current, highly-political, method for selecting and seating justices on the United States Supreme Court the most effective way to staff the federal judiciary? Or, on the other hand, should we (as a society) look for a less-political way to go about this process? If we selected another method, what would that look like? In other words, how do you think this process could work better?

In: Economics

Read the proposed theories for the origins of bipedalism presented below. Select one theory that you...

Read the proposed theories for the origins of bipedalism presented below. Select one theory that you find compelling and present two points of data in support of this theory. Select a second theory that you find improbable and present at least one point of data to counter this theory. Any information that you pull from a website you must cite (by including the web address next to the fact). Present your argument in essay format, using complete sentences. Do not simply copy and paste from other sources. Your total response should be no longer than 300 words in length.

ORIGINS OF BIPEDALISM

Why do we walk on two legs? If you asked a roomful of anthropologists, you'd likely not get the same answer from any two of them. Specialists cite everything from changing landscapes to needing to keep cool to heightening sexual attraction as probable causes of our upright stance, generally agreeing only on one point: everyone else's hypothesis is wrong. Think about the anatomical changes that accompanied bipedalism in light of the following theories. Do the theories hold up to inspection?

01 Hauling Food

As the African landscape shifted gradually from dense forests toward large patches of savannah, early hominids found their food supplies waning, leading them to descend from the trees and become ground-dwellers. Because these early human ancestors could no longer feed where they lived, they were forced to begin carrying large amounts of sustenance over long distances back to their home bases—a tricky task had they remained quadrupeds. While some anthropologists contend that early hominids gathered fruits and nuts, a few argue that they were scavengers, stealing predators' kills. An upright stance would have enabled our ancestors to lug carcasses to safer areas for consumption, while also allowing them to see other food sources or potential danger at greater distances.

02 A New World

Many anthropologists hypothesize that our ancestors developed an upright posture in order to carry food over long distances, but others believe they stood up merely to find it. As early hominids left the comfort of the forest to explore the savannah, they no longer needed a body structure suitable for climbing. Those who could walk upon two feet were better able to survive because they expended less energy and could travel longer distances than knuckle-walkers; they were also better able to see potential dangers lurking in the distance. Other anthropologists have suggested further environmental factors that might have helped urge our ancestors to stand upright, such as the cold and wet ground conditions that today lead chimpanzees to become temporary bipeds until they reach dry land.

03 Attracting Mates

Anthropologist C. Owen Lovejoy stirred controversy in 1981 when he attributed sex— specifically males' desire to get more of it—as a direct reason for why we walk upright. According to Lovejoy's behavioral model, males who could walk bipedally freed their arms to carry more food than their quadruped counterparts could hold, thus making the knucklewalkers seem far less appealing to females. In this model, the upright males were simply better breadwinners. Their ability to ration more food for females (who remained at the home base to care for the offspring) ensured that they were able to reproduce, thus leading to future generations of adept bipeds who in turn were able to pass on their own genes.

04 Grabbing a Bite

Some anthropologists argue that early hominids could not have become ground-dwellers and bipeds in a single evolutionary step, as many hypotheses imply. Instead, they contend, the ability to walk upright was in part a serendipitous by-product of new feeding habits. As our ancestors descended from the trees to forage on the ground for low-hanging fruits and berries, they began to feed from a squatting position. Over time, physiological changes occurred in their upper bodies, backbones, and pelvic areas, causing their weight and centers of balance to shift to a lower point in the body. This gave the hominids a steadier stance as well as the ability to stand upright with greater ease than their quadruped cousins. When our ancestors developed the need to reach higher and stand, these new physical traits came in handy—just as evolving a long neck proved favorable for the giraffe.

05 Keeping Cool

Walking on two feet did more than help early hominids conserve energy, as some hypotheses suggest—it also protected them from overheating. According to evolutionary biologist Peter Wheeler, early bipeds were generally exposed to less direct sunlight on the savannah than quadrupeds of the same size. In fact, when the sun shone directly overhead, the heat load upon a hominid on two feet would have been 60 percent less than that upon a knuckle-walker. Additionally, bipedalism raised hominids' bodies above the ground, enabling their skin to come in better contact with cooler and faster-moving breezes. This allowed for further heat dissipation through convection, and, says Wheeler, it meant that biped hominids needed to consume only about three pints of water per day, whereas quadrupeds needed five.

06 Aquatic Apes

Although most paleoanthropologists, despite their many differences, tend to agree that our ancestors became bipeds on dry land, a few suggest an alternate possibility. Aquatic Ape Theory, posed by marine biologist Alister Hardy in the 1930s, postulates that several human traits, from relatively minimal body hair to the ability to sweat moisture and salt, can be explained only through the idea that early hominids once lived in semi-aquatic environments. The hypothesis claims that our ancestors had to wade regularly through shallow lake- or riverside waters in order to reach shellfish, aquatic plants, and other potential food sources. With their heavy upper bodies, quadrupeds would have had a more difficult time adjusting to walking upright on the savannah than in buoyant water.

07 Weapons and Tools

Some of the oldest and most popular suggestions for why we developed into bipeds state that our upright posture relates directly to our need to use weapons and tools. While some researchers hypothesize that it was bipedalism that brought forth our ability to use these primitive devices, others believe the reverse—that the advent of tool and weapon use encouraged us to become bipedal. Charles Darwin, for one, felt that early hominids would have been "better able to defend themselves with stones or clubs, to attack their prey, or to otherwise obtain food" if they stood, walked, and ran erect, whereas quadrupeds of the same size would not have been able to exert the same force from a sitting or squatting position.

In: Other

Discuss, in your own words using 500 words or more, how virtualization may create it's own...


Discuss, in your own words using 500 words or more, how virtualization may create it's own security vulnerabilities.

In: Computer Science

Assume the Pacific Ocean has a surface area of 1.7 x 108 km2 and an average...

Assume the Pacific Ocean has a surface area of 1.7 x 108 km2 and an average depth of 3800 m.
Calculate the volume of water in the ocean in liters:

In: Chemistry

please explain and label the signals of ethylbenzene c6h14o proton nmr and IR. thank you..

please explain and label the signals of ethylbenzene c6h14o proton nmr and IR. thank you..

In: Chemistry

Q2) Answer with details : a - What are the four requirements engineering activities? b- What...

Q2) Answer with details :

a - What are the four requirements engineering activities?

b- What are the incremental delivery advantages?

In: Computer Science

Explain why the diffraction pattern of a human hair appears in the direction that it does.

Explain why the diffraction pattern of a human hair appears in the direction that it does.

In: Physics

1. Describe the role of the citric acid cycle as a central metabolic mechanism. Explain what...

1. Describe the role of the citric acid cycle as a central metabolic mechanism. Explain what happens to the cells' abilities to oxidize acetyl CoA when intermediates of the cycle are drained off for amino acid biosynthesis.

2. Describe the three steps in photosynthesis, detailing the interrelationships among them. (c.f. the discussion in the online classroom).

In: Chemistry