an arrow is launched 30 degrees above the horizontal with an intial speed of 20 m/s from the top of a watch tower after 3 seconds what is the arrows speed

Answers

Answer 1

The arrow's speed after 3 seconds is approximately 43.091 m/s.

The horizontal and vertical components of the velocity can be determined using trigonometry. The initial vertical velocity is given by v₀y = v₀ sin θ, and the horizontal velocity is given by v₀x = v₀ cos θ.


Given, θ = 30°, v₀ = 20 m/s, t = 3 s. The acceleration of gravity is g = 9.81 m/s².Let's now use the kinematic equation vf = v₀ + at. Since the arrow is launched at an angle above the horizontal, we need to calculate the horizontal and vertical components of the velocity.

The initial vertical velocity of the arrow is:

v₀y = v₀ sin θ= (20 m/s) sin 30°= 10 m/s

The horizontal velocity of the arrow is:

v₀x = v₀ cos θ= (20 m/s) cos 30°= 17.3205 m/s

Using the kinematic equation vf = v₀ + at, we can calculate the vertical velocity of the arrow after 3 seconds:

vfy = v₀y + gt

= (10 m/s) + (9.81 m/s²)(3 s)

= 39.43 m/s

The horizontal velocity doesn't change during the flight of the arrow, so vf = v₀x = 17.3205 m/s.

The final velocity of the arrow is given by the vector sum of the horizontal and vertical velocities:

v = √(vf² + v₀x²)

= √(39.43² + 17.3205²)

= 43.091 m/s

Learn more about the kinematic equations: https://brainly.com/question/14355103

#SPJ11


Related Questions

In a complete description of a force vector, which is usually not necessary?

Answers

Answer:

Position

Explanation:

A force vector has both magnitude and direction, which can be represented by a line with an arrow head. The length of the line describes magnitude, while the arrows points in the required direction.

generally, the position of a vector is unimportant when describing the vector. Thus, when a force vector is to be described, it is unnecessary to make reference to its original position. Majorly, its magnitude and direction is considered.

which part of the central nervous system controls reflexes?

a. cerebrum
b. cerebellum
c. brain
d. spinal cord ​

Answers

Answer:

spinal cord becuse it does all of the reflexes

Answer:

none of these

Explanation:

what actually controlls reflexes is the brain stem

PLEASE HELP ME WILL GIVE BRAINLIEST
The horizontal and vertical components of a projectile's velocity are......
A. always changing
B. independent of each other
C. dependent on each other
D. always equal

Answers

Answer:

A.always changing

Explanation:

Answer:

always equal

The horizontal and vertical components of a projectile's velocity is always equal. The horizontal and vertical have different charges.

if Sarah melts 10g of tin. What mass of melted tin would she have at the end of the experiment?​

Answers

Answer:

10g

Explanation:

As the Law of Conservation of Mass states that " Mass can neither be created nor be destroyed in a chemical reaction".

Though melting of tin isn't a chemical change, the same logic is applied here...

Hence,

The mass of tin will be 10 g itself...

Answer:

10g

Explanation:

The experiment is about melting of tin. When solid tin is melted, it retains the amount of substance it originally has and we expect it to still be 10g.

Mass is the quantity or amount of matter contained in a substance. For most chemical processes, the law of conservation of matter is always succinctly observed.

The law states that "matter is neither created nor destroyed in a chemical reaction or process". Although melting is a phase change, we can adapt this law to the process. Owning to no loss of matter in the melting procedure, the amount of substance remains the same.

Therefore, we are left with about the same mass of substance we started with which is 10g.

The point on the graph that lies on the y-axis (vertical axis) is called the y-intercept. What does the y-intercept tell you about the runner? ( look at photo)
the ending position of the runner

Choices:

the runners distance from the state

the starting position of the runner

the runners speed

Answers

Answer:

The starting position of the runner.

Explanation:

When you look at the graph, you can see that the first point on the graph is twenty on the y-axis.

The runner starts at twenty, and ends at thirty.

Therefore, the runner starts at twenty on the y-axis, so it's the starting position of the runner.

The y-intercept tell you about the starting position of the runner.

What is y-intercept of a function?

The intersection of the graph of the function with the y-axis gives y-intercept of that function. The y-intercept is the value of y on the y-axis at which the considered function intersects it.

Assume that we've got: y = f(x)

At y-axis, we've got x = 0, so putting it will give us the y-intercept.

Thus, y-intercept of y = f(x) is y = f(0)

When we look at the graph, we can see that the first point on the graph is twenty on the y-axis.

The runner starts at twenty and ends at thirty.

Thus, the runner starts at twenty on the y-axis, so it is the starting position of the runner.

The y-intercept tell you about the starting position of the runner.

Learn more about y-intercept here:

https://brainly.com/question/16540065

#SPJ2

The temperature of a sample of iron with a mass of 10.0 g changed
from 50.4°C to 25.0°C with the release of 114.3 J of heat. What is the
specific heat of iron

Answers

Answer:

Q  =  mc(θ₂-θ₁)

47 calories =  10 g *c*(50.4 - 25)

47cal = 10*c* 25.4

47 /(10*25.4) = c

0.185 = c

Specific heat of iron = 0.185 cal/g°C

Explanation:

Silvia rides her bike 2.7km to school. After school, she rides an additional 1.3 km to the mall in the opposite direction. What is her total distance traveled?

Answers

Answer:

4.0 km

Explanation:

Total distance traveled doesn't care about direction:

Total distance traveled = 2.7km + 1.3 km = 4.0 km


What is the momentum of a baseball with a mass of 4 kg being thrown at a velocity of 84 m/s towards the hitter

Answers

Answer:

The answer is 336 kgm/s

Explanation:

The momentum of an object can be found by using the formula

momentum = mass × velocity

From the question

mass = 4 kg

velocity = 84 m/s

We have

momentum = 4 × 84

We have the final answer as

336 kgm/s

Hope this helps you

a body at rest in one reference frame may be in motion in another reference frame what does it mean?​

Answers

Answer:

Explanation:

Suppose you are standing on a platform connected to a train station. You appear to be at rest to a third person looking at you from the parking lot.

But what happens if you are observed by someone in the dining car of the train that just passed you?

You appear to be moving. He can prove it because your relative size is getting smaller. How does he know that it is he that is moving and that you are standing still? If he has no idea what's going on with his motion, he also has no idea who is moving.

During an ,
experiment, a siginal from a spaceship
reached the ground station in five minutes. What was the
distance of
the spaceship from
the ground station? The
signal travels at the speed of light, that is 3x 109 ms‐1

Answers

Answer:

1.5*10^9

Explanation:

distance =V x T

=3x10^8x5

=1.5*10^9

what is the properties of polarization

Answers

Answer:

Explanation:

The polarization characteristics depend on the shape, size, and optical properties of the surface particles. Generally, the radiation is linearly polarized and is said to be negatively polarized if it lies in the scattering plane and positively polarized if it is perpendicular to the scattering plane.

Processes such as dissolving, melting, freezing, and evaporationg can affect the appearance of a substance, but the identity of the substance remains the same. These processes are called

A. physical properties
B. chemical change
C. chemical process
D. physical change

Answers

The answer to this question is D

which statement is an example of the law of conservation of energy

Answers

Answer:

The law of conservation of energy can be seen in these everyday examples of energy transference: Water can produce electricity. Water falls from the sky, converting potential energy to kinetic energy. This energy is then used to rotate the turbine of a generator to produce electricity.

Explanation:

Answer:

When a light bulb is turned on, electrical energy is converted to light and heat.

Explanation:

got it right :)

A handball is hit toward a wall with a velocity of 14.3 m/s in the forward direction. It returns with a velocity of 13.5 m/s in the backward direction. If the time interval during which the ball is accelerated is 0.011 s, what is the handball's average acceleration?

Answers

Answer:

Let's define t = 0 as the moment when the ball hits the wall.

in this moment, we have a given acceleration, but if we only want to calculate the average acceleration, then let's consider the acceleration constant.

a(t) = A.

To find the velocity equation we should integrate, and the constant of integration will be the initial velocity, in this case, is 14.3m/s.

v(t) = A*t + 14.3m/s

Now we know that at t = 0.011s, the velocity is -13.5m/s (the sign is negative because the ball is moving in the opposite direction as before).

Then we can solve the equation:

v(0.011s) = -13.5m/s = A*0.011s + 14.3m/s

Now we can solve it for A, the average acceleration:

-13.5m/s - 14.3m/s = A*0.011s

(-27.8m/s)/0.011s = A = -1313.5 m/s^2

difference between
Atmospheric pressure and Liquid pressure.​

Answers

Answer:

one is Atmospheric and one is a Liquid

Explanation:

please help me with this question asap

Answers

I can explain . Of an object is not moving then all the forces must be balanced. So the weight is balanced by a normal contact force.


12. A train is traveling away from you at a constant speed.
What would a distance-time graph look like for this train?

Answers

Answer:

b

Explanation:because think about it its going straight so you have to coiunt the miles the train is going and boom your answer is b

Answer:

It would be choice b

Explanation:

speed is constant so they value won't change, on the other hand time is always going.

A 100 kg steel beam is being lifted by a crane to the top of 15 meter building. How much Potential Energy is in the steel be a m when it reaches the top of the building.​

Answers

gravitational potential energy = mgh
gpe= 100 * 9.81 * 15 = 14715 Joules

Use the information below to solve this problem: A B note has a frequency of 493.88 Hz. Calculate its wavelength in meters. Question 2 options: 0.6945 m 0.7204 m 1.439 m 343 m

Answers

Answer:

Option (1). 0.6945 m

Explanation:

Frequency of a B note = 493.88 Hz

Speed of sound in the air = 343 meters per second

Since, formula to calculate the wavelength of a note is,

λ = [tex]\frac{v}{f}[/tex]

By substituting the given values in the formula,

λ = [tex]\frac{343}{493.88}[/tex]

λ = 0.6945 m

Therefore, wavelength of the music note is 0.6945 m.

Option (1) will be the answer.

HELPPPP!!!!!
The air we breathe is a(n) _____.

A. compound
B. mixture
C. element
D. alloy

Answers

Oxygen - element
carbon dioxide - compound

PLEASE HURRY AND HELP
What is the correct unit for acceleration?
A. m
B. m/s
C. m/s2

Answers

The answer is C. m/s^2

An object moves in a straight path. Its position x as a function of time t is presented by the equation x(t) = at – bt2+c, where a = 1.4 m/s, b = 0.06 m/s2 and c =50 m. a. Calculate the average velocity of the object for the time interval t = 0 to t = 5 s b. Calculate the average velocity of the object for the time interval t = 0 to t = 10 s c. Calculate the average velocity of the object for the time interval t = 10 to t = 15 s

Answers

Answer:

The answer is below

Explanation:

Given that:

x(t) = at – bt2+c

a) x(t) = at – bt2+c

Substituting a = 1.4 m/s, b = 0.06 m/s2 and c =50 m gives:

x(t) = 1.4t - 0.06t² + 50

At t = 5, x(5) = 1.4(5) - 0.06(5)² + 50 = 55.5 m

At t = 0, x(0) = 1.4(0) - 0.06(0)² + 50 = 50 m

The average velocity (v) is given as:

[tex]v=\frac{x(5)-x(0)}{5-0}\\ \\v=\frac{55.5-50}{5-0}=1.1\\ \\v=1.1\ m/s[/tex]

b) x(t) = 1.4t - 0.06t² + 50

At t = 10, x(10) = 1.4(10) - 0.06(10)² + 50 = 58 m

At t = 0, x(0) = 1.4(0) - 0.06(0)² + 50 = 50 m

The average velocity (v) is given as:

[tex]v=\frac{x(10)-x(0)}{10-0}\\ \\v=\frac{58-50}{10-0}=0.8\\ \\v=0.8\ m/s[/tex]

c) x(t) = 1.4t - 0.06t² + 50

At t = 15, x(5) = 1.4(15) - 0.06(15)² + 50 = 57.5 m

At t = 10, x(10) = 1.4(10) - 0.06(10)² + 50 = 58 m

The average velocity (v) is given as:

[tex]v=\frac{x(15)-x(10)}{15-10}\\ \\v=\frac{57.5-58}{15-10}=0.1\\ \\v=0.1\ m/s[/tex]

What is the force that causes you t land on the floor when you fall out of bed?

Answers

Answer: gravity.

Explanation:

Answer:gravity

Explanation:

as a car skids to a stop, friction transforms kinetic energy to

Answers

Answer:

potential energy

Explanation:

please help!!
There are more electrons in the orbitals of an atom that there are protons in the nucleus of the atom true or false

Answers

Answer:

An element is a pure substance that contains only one type of atom. TRUE. 2. ... FALSE, they are all carbon atoms. 7. The smallest unit of matter is an atom. TRUE. 8. When an ... TRUE. 10. Most of the mass of an atom is found in the electron layers. FALSE. 11. The nucleus of an atom contains protons and neutrons. TRUE ...

Explanation:

PLEASE HELP!!!!! 30 POINTS!!!!! I HAVE NO IDEA HOW TO DO THIS!!
Match these items and the phrases with which they are associated.

1. upward force of a liquid on an object
2. H 2 O
3. basic unit of matter
4. amount of matter in an object
5. n = 1
6. l × w × h
7. drew first picture of atom
8. mass/volume


mass,
atom,
water,
buoyancy,
inner shell,
volume,
density,
Neils Bohr,
concrete

Answers

1.) buoyancy
2.) water
3.) atoms
4.)mass
5.) inner shell
6.)volume
7.)neils bohr
8.) density

State Newton’s first law of motion in your own words.

Answers

Answer:

An object in motion will stay in motion until an outside force is acted upon it.An object at rest will stay at rest until an outside force acts upon it.

Explanation:

Answer:

An object in motion will stay in motion until an outside force is acted upon it. An object at rest will stay at rest until an outside force acts upon it.

Explanation:

I really need help with this question, I can't wrap my brain around this.

Answers

region 4: warm, low pressure air

region 1: higher pressure air fills vacancy from low pressure air

region 3; cool high pressure air

region 2: warm air cools and increases in pressure.

Two swimmers relax close together on air mattresses in a pool. One swimmer’s mass is 48 kg, and the other’s mass is 55 kg. If the swimmers push away from each other,

A. their total momentum triples.

B. their momentums are equal but opposite.

C. their total momentum doubles.

D. their total momentum decreases.

Answers

B . their momentums are equal but opposite .

In the case when the swimmer push away so the momentum should be equal but it should be opposite.

What is momentum?

Momentum means the product of the mass of a particle and its velocity. It is a vector quantity, it applied to both magnitude and direction. Since the swimmers are push away so here the momentum should be equal but it should be an inverse direction, not the direct direction.

learn more about momentum here: https://brainly.com/question/24717686

x = 20
v = 3.5 m/s
t = ?

Answers

Answer:

16.5 I think

Explanation:

Other Questions
Are these correct. Im not really sure Which of the following is a non-price determinant of supply?A) the number of consumers B) consumers' incomes C) the price of related goods consumers may buy D) technological advances in production Discuss the effect of PRE and CLR in JK flip-flop. HELP ASAP WILL GIVE BRAINLEST ALSO THIS IS DUE TODAYYYY Part 1. Calculate Total Consumable Forage: Sarah owns and operates a ranch in Central Wyoming that is a High Plains Southeast ecological site. It is a clayey site with 10-14" rain/year. The total size of the ranch is 11,845 acres (1,845 acres is privately owned the other 10,000.is.a.set.of BLM allotments where Sarah is the permitee). Of the total 11,845 acres 61% is in the rhizomatous wheat/green needlegrass plant community producing 1000 Ibs/acre. 29% is in the Big Sagebrush plant.community producing 500 lbs/acre. Finally, 10% is in the blue grama sod plant community producing 600 lbs/acre. What is the total annual production on Sarah's ranch? (3 pts) Why can Sarah not use all of the plant biomass produced (see class notes)?(2 pts) Sarah wants to know how much of the biomass is available as forage as part of a sustainable management plan. Sarah consults with Wyoming Extension Service who recommends that she remove only 35-45% of her total plant biomass in order to maintain good range condition (lower in the sage areas, potentially higher in the grass areas if they are in good condition). If Sarah decides to use 38% of her total biomass produced, what is the amount of usable forage? (2 pts) Explain different kinds of Blockchain with their real-lifeapplications and their advantages and disadvantages. (10 marks) Can someone please help me From your study and personal experience, describe the use ofthese ratios in determining a company's financial health. Define and give examples of each terms:Community capacityEmpowermentGrassroots participationMacro practiceParticipation and relevanceSocial capital Task 4) You buy a 9% coupon, 17-year maturity bond, which was issued in 2018. The yield to maturity is 10%. a) Is this a discount or a premium bond? Explain your answer! b) What is the price of the bo Desiree pays $100 to buy her coworkers souvenirs onher trip to Ethiopia. how has GDP changed if at all, and provide abrief explanation of your answer. Read the passage and then answer the question that follows:Microscopic organisms such as the amoeba can pose threats to humans.In the passage above, the transition such as is used to The accounting records of Carr Incorporated show the following data for 2020. Carr uses the accrual method of accounting for financial statements. 3. 1. Life insurance expense on officers was $30,000. 2. Carr's controller died in an airline crash. Carr received $500,000 proceeds from al life insurance policy carried on the controller. 3. Carr uses the straight-line method to calculate depreciation for financial statements and an accelerated method to calculate depreciation for taxes. Straight-line depreciation is 140,000 and the accelerated depreciation is $200,000. 4. Interest revenue on State of New York bonds totaled $30,000. 5. Expenses incurred in obtaining State of New York bond income were $2,000. 6. Product warranties were estimated to be $120,000 in 2020. Actual repair and labor costs related to the warranties in 2020 were $30,000. The remainder is estimated to be paid evenly over the next two years. 7. Fines incurred for pollution violations were $100,000. 8. On November 1, 2020, Carr paid $36,000 for three years' offsite document storage. 9. Pretax financial income was $3,400,000. The enacted tax rate is 20% for 2020 and 22% for all future years. Instructions: a. Compute taxable income and income taxes payable for 2020. b. Prepare the journal entry to record income tax expense, deferred income taxes, and income taxes payable for 2020. Brower, Inc. is an MNC located in the U.S. The firm would like to estimate its weighted average cost of capital (WACC). On average, bonds issued by Blues yield 6 percent. Currently, Treasury security rates are 3 percent. Furthermore, Brower's stock has a beta of -0.5, and the return on the Wilshire 5000 stock index is expected to be 8 percent. Brower's target capital structure is 45 percent debt and 55 percent equity. If Brower, Inc. is in the 35 percent tax bracket, what is its weighted average cost of capital? O a. 0.0391 O b. 0.0203 O c. 0.0278 O d. 0.0526 O e. 0.0514 Which of the following statements correctly describe the value of 8 x V82. 8 x 182 is an irrational number8 x 182 is neither a rational nor irrational number 8 x 182 is a rational number 8 x 182 is a real numberPLS HELP ME Each prompt below presents a scenario lifted from the Amazon case study materials. For each of the scenarios, specify how the choices or possibilities were or would be presented as an either/or question that would lead to a suboptimal decision for each of the stakeholders indicated below the prompt. The optimal decision is indicated in the unbiased framing provided.A 16 points] As of 2017, there are 15 Amazon websites around the world. Of these websites, Amazon Prime has yet to be launched only in Australia, Brazil, India, Mexico, the Netherlands, and Singapore. Plans are also underway to add two more websites-Turkey and the United Arab Emirates. With past websites, the length of time to launch Amazon Prime varied from one to five years. Gopal Acharya, a second-generation Indian-American who began his career at the Amazon Fulfillment Center in 2000 and rose through the ranks to manage several of Amazon's new businesses, was handpicked by Jeff Bezos to head the Amazon Prime Global Division. One of the Division's main projects, Prime-in-Five, was to roll out Amazon Prime in the locations shown below within five years from the time the store opens [the year in brackets refers to the year the store opened):Brazil [December 2012]India [June 2013]Mexico (August 2013]Singapore [July 2017]The Netherlands [November 2014] Australia [November 2017]Upon appointing Acharya, Jeff Bezos also renames the project Prime-in-Three, reflecting the new target that Amazon Prime be launched on every website within three years from the time the store opens. There were five employees working on the project when Acharya began his new role. Of these five, only one, an Australian who came to the US to study at Fairfield University, has lived overseas, namely the US. The rest have never lived abroad and none can speak any language other than English. After two months, Acharya felt that the team, having gotten themselves entangled in problems with foreign suppliers in Brazil, India, and Mexico, was not making as much progress as he would like.Unbiased framing: The Prime-in-Three employees can begin working on the Netherlands, Singapore, and Australia within the next 12 months given that Brazil, India, and Mexico are already behind the new three-year target and would therefore not even figure into future discussions and evaluations. There is little justification to replace everyone on the team given that the next three websites the team will be working on are in English-speaking countries.Either/or Framing1. What either/or decision might be presented to Gopal Acharya? Answer:2. What either/or decision might be presented to the Prime-in-Three employees? Answer: What was the message of Thomas Paine's pamphlet The Crisis? Why was it significant in changing the moral ofWashington's men?I need to know ASAP Which of the following statements about the supply contracts is TRUE? O Perishable goods with no salvage value are not suitable for buy-back contract. O Buy-back contract is more risky for the retailers than revenue-sharing contract. O Products under a supply contract usually receive more attention in sales promo O Revenue-sharing contract in general works better than buy-back contract. What declarations, inputs, processing, and outputs are needed to calculate the area of a rectangle? Crane's Miniature Golf and Driving Range inc was opened on March 1 by Bob Dean. These selected events and transactions occurred during March. Mar. 1 Stockholders invested $61.000 cash in the business in exchange for commonstock of the corporation. 3 Purchased Snead's Golf Land for $46,400 cish. The price consists of land $23,300, building $8,090, and equipment. $15.010. (Record this in a single entry.) 5 Advertised the opening of the driving range and miniature golf course, paying advertising expenses of $2,370 cash. 6 Paid cash $3,700 for a 1 year insurance policy. 10 Purchased golf clubs and other equipment for $5.250 from Tahoe Cornpany, payable in 30 days. 18 Received golf fees of $1,750 in cash from customers for golf services performed. 19 Sold 150 coupon books for $30 each in cash. Each book contains 10 coupons that enable the holder to play one round of miniature golf or to hit one bucket of golf balls. (Hint: The revenue should not be recognized until the customers use the coupons.) 25 Paid a $480 cashdividend. 30 Paid salaries of $860. 30 Paid Tahoe Company in full for equipment purchased on March 10. 31 Received $800 in cash from customers for golf services performed. Journalize the March transactions. Crane's records golf fees as service revenue.