An old man standing at the edge of a seaside cliff kicks a stone over the edge with a speed of 14 m/s. The cliff is 63.5 m above the water's surface.

a. How long does it take the stone to fall to the water?
b. With what speed does the stone strike the water?

Answers

Answer 1

Answer:

a) t=3.6 sec

b) [tex]\mid v \mid =38\ m/s[/tex]

Explanation:

Horizontal Motion

When an object is thrown horizontally with a speed v from a height h, it describes a curved trajectory ruled by a constant speed in the horizontal direction and a variable speed in the vertical direction, where the acceleration of gravity makes the object fall to the ground.

If we know the height h from which the object was launched, the time it takes to hit the ground is:

[tex]\displaystyle t=\sqrt{\frac {2h}{g}}[/tex]

The horizontal speed is always constant:

vx=vo

But the vertical speed depends on the time and acceleration of gravity:

[tex]vy=g\cdot t[/tex]

The magnitude of the velocity or final speed of the object is given by:

[tex]\mid v \mid =\sqrt{vx^2+vy^2}[/tex]

a.

The stone was kicked over the cliff with a speed of v0=14 m/s, and the height it was thrown from is h=63.5 m, thus:

[tex]\displaystyle t=\sqrt{\frac {2\cdot 63.5}{9.8}}[/tex]

t=3.6 sec

b.

The vertical speed is:

[tex]vy=9.8\cdot 3.6[/tex]

vy=35.3 m/s

The final speed is calculated below:

[tex]\mid v \mid =\sqrt{14^2+35.3^2}[/tex]

[tex]\mid v \mid =\sqrt{1,442.09}[/tex]

[tex]\boxed{\mathbf{\mid v \mid =38\ m/s}}[/tex]


Related Questions

I need help asap. #3, 12points

Answers

Answer:

-10C= Solid

10C= Liquid

50C= Liquid

90C= Liquid

110C= Gas

120C= Gas

Explanation:

Below 0 degree C (Celsius), water is frozen means it is in the form of ice. After 0 degree, once we keep it in room temperature, the ice starts becoming liquid (water), and once we heat water, after 100 degree C (Celsius) water starts boiling and thus starts entering gaseous state.

A 450.0 kg boat experiences two simultaneous forces. The motor exerts a force of 100.0 N to accelerate the boat forward, while an unknown drag force pushes in the opposite direction. The boat accelerates forward at 0.1330 m/s2. Calculate the drag force acting on the boat.

Answers

Answer:

The  drag force is [tex]D = 40.15 \ N[/tex]

Explanation:

From the question we are told that

  The mass is  [tex]m = 450.0 \ kg[/tex]

  The acceleration [tex]a  = 0.133 m/s^2[/tex]

The force due to the motor is  [tex]F_m = 100 \ N[/tex]

Generally the net force acting on the boat is mathematically represented as

    [tex]F = m * a[/tex]

=>  [tex]F = 450.0 * 0.1330[/tex]

=>  [tex]F = 59.85 \ N[/tex]

Generally the drag force acting on the boat is mathematically represented as

     [tex]D = F_m -F[/tex]

=>  [tex]D = 100 - 59.85[/tex]

=>   [tex]D = 40.15 \ N[/tex]

 

Can someone help me, it will get 5 stars

Answers

Answer:

A. Increased self-esteem

Explanation:

I hope this helps :)

Can somebody google or pls if u know the correct answer help!!!
(5thgrade science)
(WILL MARK AS BRAINLIEST) promise :)

Answers

Answer:

Nutrients

Oxygen

Water

Stable body temperature

Atmospheric pressure

Explanation:

Answer:

The five basic survival needs are, oxygen, water, food , shelter, and self defense they're important because these things help keep us alive and functioning. These are the bare necessities to living.

Explanation

In order to survive, all living things need air, water, food, shelter, and slef-defense. Animals obtain their food from plants and other animals, which provides them with the energy they need to move and grow. ... Plants also need air, water, and food, but they don't have mouths to breathe, drink or eat.

If the angle of incidence is 30°, what is the value of the
angle of reflection?

Please help!!! Respond ASAP please

Answers

Answer:30 degrees....................

Which element has an atomic number of 9 and an atomic mass of 19?

A.boron
B.carbon
C.sulfur
D.fluorine

Answers

Answer:

fluorine

Explanation:

i honestly don’t know but i have to answer something just kidding it’s c

What two types of energy does a rock have as it rolls down a hill? (APEX)
A. Sound energy
B. Nuclear energy
C. Potential energy
D. Kinetic energy
E. Magnetic energy

Answers

Answer:

C. Potential energy

D. Kinetic energy

Explanation:

A progressive wave equation is represented by y=Asin 2π(0.15t-0.1x). find the period​

Answers

Answer:

y=Asin 2π(0.15t-0.1x)

At some time t and coordinate x let  (0.15t-0.1x) = n  where n is an integer.

y will be zero

At a later time and the same value of x

(0.15(t + P)-0.1x) = n +1   where P is the period ;  y again will be zero

(0.15(t + P)-0.1x) = n +1

(0.15t-0.1x) = n

.015 P = 1        subtracting equations

P = 1 / .15 = 6.67 sec

in the game of croquet, a player moves a ball around a course by striking the ball with a mallet all the players take turns striking there own balls the photo shows some kind of result of one kind of play.


what most likely causes the motion of the purple ball in the photo.

Answers

Answer:Kinetic energy from the mallet is transformed first to the orange ball and then to the purple ball.

Explanation:

Which of the following graphs best shows the velocity v of the clay ball from when it is dropped until it hits the ground?

Answers

Answer:

The correct option is;

C

Explanation:

The given information is that a clay ball is dropped from a certain height.

Therefore, the clay ball has an initial potential energy and zero kinetic energy

Which gives that the initial velocity of the clay ball = 0

As the potential energy is converted into kinetic energy, the velocity of the clay ball increases

However, if the direction of measurement of the velocity is opposite to the direction in which the clay ball is falling, the velocity of the ball progressively increases negatively as shown in option C

MARKING BRAINLIEST AND I NEED WORK SHOWN ! i’m a junior in high school


Free Fall Practice Problems

1. A baseball is popped straight up in the air at a velocity of 42.0 m/s.

What time does it spend in the air before reaching the same

elevation from which it was popped up?

2. A golf ball is dropped from a cliff and strikes the ground with a

downward velocity of 34.0 m/s. How high is the cliff?

3. An air rocket is launched straight upwards at 27.0 m/s. What is its

velocity at time t=4.80 s?

4. A giant lizard jumps straight upwards from the ground at 4.30 m/s.

To what height does the lizard rise before going back down again?

5. A person falls from a bridge that is 18.0 m above the water. What

is the velocity of impact with the water?

Answers

Answer:

(1) t = 4.29 s

(2) h = 58.98 m

(3) v = 20.04 m/s (downward)

(4) h = 0.94 m

(5) v = 18.78 m/s

Explanation:

Assumption:

during downward motion, acceleration due to gravity, g is positive. (+g)during upward motion, acceleration due to gravity, g is negative. (-g)

(1)

initial velocity of the baseball, u = 42.0 m/s

final velocity of the ball, v = 0

time of flight is given by;

v = u -gt

gt = u

t = u / g

t = 42 /9.8

t = 4.29 s

(2)

Given;

initial velocity of the golf, u = 0

final velocity of the golf, v = 34 m/s

the height of the cliff is given by;

v² = u² + 2gh

v² = 0 + 2gh

h = v²/2g

h = (34)²/(2x9.8)

h = 58.98 m

(3)

Given;

initial velocity of the rocket, u = 27 m/s

time of motion, t = 4.8s

final velocity, v = ?

v = u + gt

v = 27 + (-9.8 x 4.8)

v = 27 - 47.04

v = -20.04 m/s (the negative sign indicates downward motion of the rocket after 4.8 s)

(4)

Given;

initial velocity of the lizard, u = 4.3 m/s

final velocity of the lizard at maximum height, v = 0

the height rose by the lizard is given by;

v² = u² + 2(-g)h

0 = u² - 2gh

2gh = u²

h = u² / 2g

h = (4.3)²/(2 x 9.8)

h = 0.94 m

(5)

Given;

initial velocity of the person on the bridge, u = 0

height of the bridge, h = 18 m

final velocity of the person is the velocity at impact, v = ?

v² = u² + 2gh

v² = 0 + 2gh

v² = 2gh

v = √2gh

v = √(2 x 9.8 x 18)

v = 18.78 m/s

What words come to mind when you hear the word Philosophy?

Answers

Answer:

the love of wisdom

Explanation:

the love of wisdom is an activity of attempting to understand the world, in all its aspects

what is a crystalline solid?​

Answers

Answer:

A crystal or crystalline solid is a solid material whose constituents are arranged in a highly ordered microscopic structure, forming a crystal lattice that extends in all directions

Explanation:

your welcome

A machine converts 40% of electrical energy into mechanical energy and 60% into heat energy. What statement explains the law of conservation of energy?

a.Machines always convert only a part of electrical energy to another form of energy.

b.Electrical energy always produces heat energy.

c.The machine changes the form of the electrical energy but cannot create or destroy energy.

d.Electrical energy is always accompanied by mechanical energy.

Answers

Answer:

weg e

Explanation:

Play around with the moving man simulation. Then without using the simulation, sketch a predicted position
vs time graph of how it would look if the man walked to the tree, paused, and then ran to the house.

Answers

No idea man good luck though

We would like to make a 600-ohm resistor out of Nichrome wire with a cross-sectional area of 3.0 10-3 square centimeter. If the resistivity of Nichrome is 110 x 106 ohm-centimeter, how long should the wire be?​

Answers

l = AR/resistivity

l =[( 3 × 10^-3) × 600]/ 110 × 10^6

then find length of wire.

sorry i don't hv my calculator

How are both chemistry and physics related to geoscience?

Answers

Answer:

Earth science or geoscience includes all fields of natural science related to the planet Earth. This is a branch of science dealing with the physical and chemical constitution of the Earth and its atmosphere. Earth science can be considered to be a branch of planetary science, but with a much older history. Earth science encompasses four main branches of study, the lithosphere, the hydrosphere, the atmosphere, and the biosphere, each of which is further broken down into more specialized fields.

There are both reductionist and holistic approaches to Earth sciences. It is also the study of Earth and its neighbors in space. Some Earth scientists use their knowledge of the planet to locate and develop energy and mineral resources. Others study the impact of human activity on Earth's environment, and design methods to protect the planet. Some use their knowledge about earth processes such as volcanoes, earthquakes, and hurricanes to plan communities that will not expose people to these dangerous events.

The Earth sciences can include the study of geology, the lithosphere, and the large-scale structure of the Earth's interior, as well as the atmosphere, hydrosphere, and biosphere. Typically, Earth scientists use tools from geology, chronology, physics, chemistry, geography, biology, and mathematics to build a quantitative understanding of how the Earth works and evolves. Earth science affects our everyday lives. For example, meteorologists study the weather and watch for dangerous storms. Hydrologists study water and warn of floods. Seismologists study earthquakes and try to understand where they will strike. Geologists study rocks and help to locate useful minerals. Earth scientists often work in the field—perhaps climbing mountains, exploring the seabed, crawling through caves, or wading in swamps. They measure and collect samples (such as rocks or river water), then they record their findings on charts and maps.

Explanation:

Can someone help me please step by step

Answers

Answer:

12 1/2 cups

Explanation:

first, figure out how many times twelve goes into 60 (5 times)

then multiply 2.5 by 5 for the correct serving size

2.5×5=12.5

which law represents a balanced chemical equation ?

A. avogadro's hypothesis
B. ideal gas law
C. law of conservation of mass
D. newton's first law of motion
E. newton's second law of motion ​

Answers

Answer:

A balanced chemical equation represents law of conservation of mass.

I hope it'll help u

Answer:

law of conservation of mass

Explanation

Hope it helps!

If the mass of block B is 2kg, the gravitational force exerted on block B is most nearly which of the following?
0.2N
2N
20N

P.S The acceleration is 10m/s^2 but I have no idea how to get that, so could someone explain that to me.​

Answers

Answer:

20 N.

Explanation:

The following data were obtained from the question:

Mass of block B (m) = 2 Kg

Acceleration due to gravity (g) = 10 m/s²

Gravitational force (F) =..?

Force is simply defined as the product of mass and acceleration i.e

Force = mass (m) × acceleration (a)

F = ma

Thus, we can say that the gravitational force on block B will be the product of the mass of block B and acceleration due to gravity i.e

Gravitational force (F) = mass of block B (m) × acceleration due to gravity (g)

F = mg

Mass of block B (m) = 2 Kg

Acceleration due to gravity (g) = 10 m/s²

Gravitational force (F) =..?

F = mg

F = 2 × 10

F = 20 N

The, the gravitational force exerted on block B is 20 N

Gravitational force exerted on block B is 20 N

Given that;

Mass of block = 2 kg

Acceleration = 10 m/s²

Find:

Gravitational force exerted on block B

Computation:

Gravitational force = ma

Gravitational force exerted on block B = Mass of block × Acceleration

Gravitational force exerted on block B = 2 × 10

Gravitational force exerted on block B = 20 N

Learn more:

https://brainly.com/question/18183053?referrer=searchResults

How do electromagnetic and mechanical waves compare?

Answers

Transmit energy
Doesn’t transmit matter

Answer:

Transmit energy

Explanation:

Nancy is pushing her empty grocery cart at a rate of 1.8 m/s. 30 seconds later,
she is pushing the, now full cart, at a rate of 0.54 m/s. Calculate the acceleration
of the cart. *

Answers

3.Es tarde y mi taxi no llega. Estoy ____.
(5 Points)
preocupada
contenta

Which of the following reactions best illustrates the Law of Conservation of Mass?
A. H2O2 → H2O + O2
B. Na + CuS → Na2S + 2 Cu
C. K + AgCl → KCl + Ag
D. NaOH + 2 HCl → NaCl + H2O

Answers

Answer:

A

Explanation:

Mass does not change no matter what!!! In this instence it is all still there. hope it helps

In the reaction, K + AgCl → KCl + Ag, the masses are constant before and after the reaction. Hence, this illustrates the Law of Conservation of Mass. So, option (C) is correct.

The given problem is based on the chemical analysis for the law of conservation of mass. As per the law of conservation of mass, "In a chemical reaction, the mass of reactant can neither be created, nor be destroyed. But it can change its phase".

In the chemical reaction,

K + AgCl → KCl + Ag

Clearly in the potassium and silver chloride, the mass of reactant (potassium and silver chloride) remains same (or constant) while forming a product (potassium chloride and Silver). Which is not observed in other given chemical reactions.

Thus, we can conclude that in the reaction, K + AgCl → KCl + Ag, the masses are constant before and after the reaction. Hence, this illustrates the Law of Conservation of Mass. So, option (C) is correct.

Learn more about the Law of Conservation of Mass here:

https://brainly.com/question/14233500

Which technology is used to service space vehicles and other equipment?
space probe
space station
space satellite
space observatory

The answer isn’t probe. I believe it’s space station. Someone please answer

Answers

you’re correct hope this helps :)

Answer:

You're correct it is space station

Explanation:

Did the quiz

You jump off a cliff and accelerate at 9.8 m/s ^ 2 due to gravity. How far do you fall in 4.0 seconds?

Answers

Answer:

According to my calculations you will fall untill you are stopped by an equal force

Why do you think there are so few naturally occurring liquids

Answers

First, a great number of solids are ionic and metallic substances. Those show a really strong bonding mechanism between elementar particles.

And second, to get your theory to work, you have to take into account the size of molecules. To evaporate or melt anything, you have to break or at least disturb all the bonds each molecule has to its surroundings.

For something as small as H2O, not even hydrogen bonding is strong enough to make it solid. A large molecule like Polyethylene, on the other hand, is only held by weak London forces, but has melting points as high as 145°C, and cannot be evaporated

1] What is an alpha particle?

a) 2 charged particles and 2 neutral particles
b) 2 charged particles and 4 neutral particles
c) 4 charged particles and 2 neutral particles.
d) 4 charged particles and 4 neutral particles.​

Answers

I am pretty sure it is A. I learned about this is biology 2 years ago.

Answer:

An alpha particle is a helium nucleus emitted by some radioactive substances, originally regarded as a ray

laws of solid friction ​

Answers

Answer: When an object is moving, the friction is proportional and perpendicular to the normal force (N)

Friction is independent of the area of contact so long as there is an area of contact.

The coefficient of static friction is slightly greater than the coefficient of kinetic friction.

Within rather large limits, kinetic friction is independent of velocity.

Friction depends upon the nature of the surfaces in contact.

One-fourth of adults in the United States are not active at all.
Please select the best answer from the choices provided.
Тrue
False

Answers

Answer:

true

Explanation:

which of the following steps to solve a problem is completed last?

A analazyzing data
B recognizing and identifying the problem
C forming a hypothesis
D testing a hypothesis​

Answers

Answer:

that would be analyzing data I believe

The answer is A good luck!!!
Other Questions
Based on the information provided. In which domain would the organism be classified?ProtistaEukaryaBacteriaArchaea Question 31 ptsThe strategy devised by Charles Emerson Houston and the NAACP inattacking segregation in the schools was to:Oclaim that segregation was unconstitutionalNo answer text provided.force public schools to integrateo claim that the Plessy decision mandated that separate schools were truly equal 13. A discount retail store gives a 8% discountto senior citizens. If a customer who is a seniorcitizen wants to purchase an item that costs$34.50, what is the final cost after the discountis applied? 15=5k-13 whats the letter How to solve trigonometric functions such as sin 2x sin x + cos x= 0 of the 250 passengers onthe plane 155 checked there bags rather than carry on what percent of passengers checked their bag? The sum of any number and its ______equals 0. Write the absolute value and the opposite values of the numbers listed in the table. 15,-93,56,-87 which of the following is also known as profit and loss statement?net worth ledger liability statement income statements transaction ledger please help!!! picture attached, will give brainliest What are the four types of factor payments,according to economists? 4. Use appropriate punctuation marks and capital letters where necessary. 0.510=5do you know what punctuation marks are punctuation marks are symbols that indicate the structureand organization of written language, as well as intonation and pauses to be observed when readingaloud full stop comma semicolon question mark etc are punctuation marks Graph f(x) = -0.5.0 +3. A 2.50-mL sample of ammonia gas (NH3) is heated from 325 kelvin to 425 kelvin. What is the new volume of the sample? write a letter to your friend discussing the plans towards your mother birthday party Select the correct answer. Which of these lines is used as an aside? A. "Suddenly a chain reaction of gagging and screaming starts from the back of the line." B. "(in a falsely cheerful voice) We are now ready to board for Flight 5B." C. "I'm very sorry, sir, but you cannot get on the plane with those." D. "Someone needs to tell that to the little guy draped around her neck." How much hear must be obsorberd by 375.0 grams of water to raise its temperature from 10.0c to 35.0c? The specific heat capacity of water is 4.186 J/gC.HELP DUE TOMORROW!!! ASAP do you agree with mr.rodriguez that we focus too much on myths about race in this country? As chief chemist at Superior Analytical Products (SAP) you must design an experiment to determine the density of an unknown liquid to three (3) significant figures. The density is of the order of 1 g/cm3. You have approximately 7 mL of the liquid and only graduated cylinders and balances are available for your use. Which of the following combinations of equipment will allow you to meet but not exceed your goal?a. graduated cylinder with +0.1 mL uncertainty, balance with :0.1g.b. graduated cylinder with 001 mL uncertainty: balance with 101 g uncertainty.c. graduated cylinder with t0.01 mL uncertainty balance with t0 01 g uncertainty.d. graduated cylinder with 0 001 mL uncertainty, balance with 10001 g uncertainty. Fill in the blank with the appropriate form of avoir.___ faim quand j'ai vu le menu.A. Tu as euB. J'ai euC. J'avaisD. J'tais