The ball as launched horizontally off a 200m cliff. The initial velocity is 40m/s.
Find the time it takes to hit the ground.
Find the RANGE, distance traveled horizontally.
Find the final vertical velocity.

Answers

Answer 1

Answer:

a. 6.39 s b. 255.6 m c. 62.6 m/s

Explanation:

a. Find the time it takes to hit the ground.

Using y = ut + 1/2gt² where y = height of cliff = 200 m, u = initial vertical velocity of ball = 0 m/s, g = acceleration due to gravity = 9.8 m/s² and t = time taken for ball to hit the ground.

So, substituting the values of the variables into the equation, we have

200 m = 0 m/s × t + 1/2 × 9.8 m/s² × t²

200 m = 0 + (4.9 m/s²)t²

200 m = (4.9 m/s²)t²

dividing both sides by 4.9 m/s², we have

t² = 200 m ÷ 4.9 m/s²

t² = 40.82 s²

taking square root of both sides, we have

t = √(40.82 s²)

t = 6.39 s

b. Find the RANGE, distance traveled horizontally.

The range is the horizontal distance traveled by the ball, R = vt where v = horizontal velocity of ball = 40 m/s and t = time taken for ball to hit the ground = 6.39 s

So, R = vt

= 40 m/s × 6.39 s

= 255.6 m

c. Find the final vertical velocity.

Using v = u - gt where u = initial vertical velocity of ball = 0 m/s, v = final velocity of ball, g = g = acceleration due to gravity = 9.8 m/s² and t = time taken for ball to hit the ground = 6.39 s.

So, substituting the values into the equation, we have

v = 0 m/s - 9.8 m/s² × 6.39 s

v = -62.62 m/s

v ≅ -62.6 m/s


Related Questions

A bicyclist initially at rest, begins pedaling and gained speed steadily for 4.80s during which she covers 37.0m What was her final speed?

Answers

Answer:

The final speed of the bicyclist is 15.44 m/s.

Explanation:

Given;

initial velocity, u = 0

time of motion, t = 4.8 s

distance covered, d = 37.0 m

The acceleration of the bicyclist is calculated as;

d = ut + ¹/₂at²

37 = 0 + ¹/₂(4.8)²a

37 = 11.52a

a = 37 / 11.5

a = 3.22 m/s²

The final speed of the bicyclist is given as;

v² = u² + 2ad

v² = 0 + 2(3.22)(37)

v² = 238.28

v = √238.28

v = 15.44 m/s

Therefore, the final speed of the bicyclist is 15.44 m/s.

A car is traveling at an average speed of 120km/h.how long will it take to travel between two station 525km apart?​

Answers

Answer:

Time taken 4 hrs. 38 minutes

Explanation:

As speed = distance/time interval

So time taken = 4.38

speed=distance/time

we know the speed and we know the distance so we can calculate the time

120km/h=525km/time

time=525km/120km/h=4.375hours or 4 hours and 22 minutes and 30 seconds

is anti-nodes and amplitude same

Answers

Explanation:

Antinodes are not the same thing as the amplitude , but they are very closely related. The amplitude is the distance from the rest position of the wave to the antinode . The antinode is just a point along the wave that has the greatest maximum velocity in the y-direction.

The amplitude of a standing wave doesn't remain the same throughout the wave. It keeps on changing as it is a function of x.

Where the amplitude is minimum is called?

The locations at which the absolute value of the amplitude is minimum are called nodes, and the locations where the absolute value of the amplitude is maximum are called antinodes.

Explanation:

Antinodes are not the same thing as the amplitude , but they are very closely related. The amplitude is the distance from the rest position of the wave to the antinode . The antinode is just a point along the wave that has the greatest maximum velocity in the y-direction .

intro urself please

Le manque de sommeil peut réduire la production d'insuline par le pancréas. L'insuline est responsable de métaboliser le sucre dans le sang. De quel ordre peut être la réduction d'insuline?Lecteur immersif

Answers

Answer:

Very big.

Explanation:

Very big reduction occurs in insulin production when a person did not sleep in 24 hours. Due to lack of sleep, reduction occurs in the production of insulin by the pancreas. Insulin is a hormone that is responsible for metabolizing sugar in the blood and if insulin is not secreted by the pancreas in normal concentration so the person get diabetes disease due to increasing amount of glucose in the blood.

I got a new kitten and I dont know how to train them to use a leash. Can anyone help?

Answers

Put the leash on and have like treats with u and they will follow u that’s how I trained my cat lol

1. The coin remains at rest in the figure shown. This is due to
(a) inertia of rest
(b) two forces act on the coin which balance each other
(c) no unbalanced force acts on it
(d) all of these​

Answers

D would be correct.

Have a merry Christmas!
D I hope it helps have a good day

How are water scarcity and water pollution related?
Water pollution contributes to water scarcity.
Water pollution is a solution to water scarcity.
Water scarcity is a solution to water pollution.
Water scarcity contributes to water pollution.

Answers

Answer:

A. Water pollution contributes to water scarcity.

Explanation:

Water pollution occurs when materials are disposed in water body, thus making it unfit for use. A polluted water can not be used for various purposes that water can be used for. Examples include: recreation, drinking, washing etc.

Water scarcity is the situation when available water is not sufficient for the use of organisms in a community. This majorly occurs in arid area.

Thus, since a polluted water renders water to be useless, therefore water pollution contributes  to water scarcity.

Answer:

Water contributes to water scarcity

Explanation:

pls nobody has ever given me brainiest pls give me brainliest


Which example best
describes Newton's 3rd Law?
A. Paddling a canoe to make the boat move
B. A large truck takes longer to
slow down than a car
C. Falling forward in a train that is slowing down quickly

Answers

Answer:

A

Explanation:

paddling a canoe to make the boat move

What voltage is required to move 6A through 20?

Answers

Answer:

120V

Explanation:

Given parameters:

Current  = 6A

Resistance  = 20Ω

Unknown:

Voltage = ?

Solution:

According to ohms law;

           V = IR

Where V is the voltage

            I is the current

            R is the resistance

Now, insert the parameters and solve;

    V  = 6 x 20  = 120V

Which of the four spheres is this pictures/scene?

A) hydrosphere
B) biosphere
C) geosphere
D) atmosphere

Answers

Answer:

I Believe the answer is

[tex]D. \: \: atmosphere[/tex]

Explanation:

I hope how this helps!

what do you know about atom

Answers

Answer:

The smallest part of the elements which contains matters in them are atoms :)

An airplane flies at 40 m/s at an altitude of 50 meters. The pilot drops a heavy package which falls to the ground. Where, approximately, does the package land relative to the plane's new position

Answers

Answer:

128 m

Explanation:

From the question given above, the following data were obtained:

Horizontal velocity (u) = 40 m/s

Height (h) = 50 m

Acceleration due to gravity (g) = 9.8 m/s²

Horizontal distance (s) =?

Next, we shall determine the time taken for the package to get to the ground.

This can be obtained as follow:

Height (h) = 50 m

Acceleration due to gravity (g) = 9.8 m/s²

Time (t) =?

h = ½gt²

50 = ½ × 9.8 × t²

50 = 4.9 × t²

Divide both side by 4.9

t² = 50 / 4.9

t² = 10.2

Take the square root of both side

t = √10.2

t = 3.2 s

Finally, we shall determine where the package lands by calculating the horizontal distance travelled by the package after being dropped from the plane. This can be obtained as follow:

Horizontal velocity (u) = 40 m/s

Time (t) = 3.2 s

Horizontal distance (s) =?

s = ut

s = 40 × 3.2

s = 128 m

Therefore, the package will land at 128 m relative to the plane

the rubber covering over a wire acts as a / an ?​

Answers

Answer:

Most electrical wire is covered in a rubber or plastic coating called insulation. The purpose of insulation covering the metal part of an electrical wire is to prevent accidental contact with other conductors of electricity, which might result in an unintentional electric current through those other conductors.

Explanation:

SHOW ME YOUR SMARTS FOR BRAINLIEST
Why is the value of a substance’s specific gravity always the same numerically as its density?

Because it is always the substance’s density divided by the density of water which is 1 g/cm 3
Because it is always the substance’s density multiplied by the density of water which is 1 g/cm 3
Because specific gravity is the inverse of density
Because these represent the same measurement

Answers

Answer:

Because it is always the substance’s density divided by the density of water which is 1 g/cm 3

Explanation:

The density of water is 1g/cm³;

  Specific gravity = [tex]\frac{density of substance}{density of water}[/tex]

Since specific gravity is a relative comparison of a substance density with that of water, the values always the same.

Density of water is 1 and it will have no effect on the density of the substance.

The only difference is in the units. The density of a substance will have a unit but that of the specific gravity will have no unit.

Numerically, dividing by 1 has no implication.

Answer:  the answer is C

Explanation:Specific gravity is the density of a substance divided by the density of water. Since (at standard temperature and pressure) water has a density of 1 gram/cm3, and since all of the units cancel, specific gravity is usually very close to the same value as density

What is a joule? Pls only answer if you know the answer.

Answers

Answer:

the SI unit of work or energy, equal to the work done by a force of one newton when its point of application moves one meter in the direction of action of the force, equivalent to one 3600th of a watt-hour.

Explanation:

Joule, unit of work or energy in the International System of Units (SI); it is equal to the work done by a force of one newton acting through one metre. Named in honour of the English physicist James Prescott Joule, it equals 107 ergs, or approximately 0.7377 foot-pounds.

what do you notice about gravity in space?

Answers

Answer:

gravity is everywhere in space and objects in space are always falling: towards the earth, towards the sun, and towards the galactic center

Explanation:

A driver in a car traveling at a speed of 78 kilometers/h sees a cat 101 m away on the road . How long will it take for the car to accelerate uniformly to a stop in exactly 99 m?

Answers

Answer:

0.353 secs

Explanation:

Using the formula;

ΔS = ut + 1/2at²

ΔS is the change in distance = 101 - 99 = 2m

u is the speed = 78km/hr = 7800/3600 m/s

Speed = 2.17m/s

a is the acceleration = 9.8m/s262

t is the time

Substitute into the equation and get t

2 = 2.17t + 1/2(9.8)t²

2 = 2.17t + 4.9t²

2.17t + 4.9t²- 2 = 0

Factorize

t = -4.9±√4.9²-4(2.17)(-2)/2(2.17)

t = -4.9±√24.01+17.36/4.34

t = -4.9±6.43/4.34

t = -4.9+6.43/4.34

t =1.53/4.34

t = 0.353secs

Hence it will take the car 0.353 secs

which eletromagnetic waves have the lowest frequency radio waves micro waves x rays or gamma rays

Answers

Answer:         Radio waves have the lowest energies, longest wavelengths, and lowest frequencies of any type of EM radiation. In order from highest to lowest energy, the sections of the EM spectrum are named: gamma rays, X-rays, ultraviolet radiation, visible light, infrared radiation, and radio waves.

Explanation:

Radio waves have the lowest frequency

The Kentucky Derby is one of the most exciting horse races run every year. In 1973, the horse Secretariat set a record that still stands. This 500-kg horse ran the 2000-m track in 120 s. What was Secretariat's average kinetic energy? (1 kJ = 1000 J)

Answers

Answer:

69.44kJ

Explanation:

Kinetic energy is expressed as;

KE = 1/2mv^2

m is the mass = 500kg

v is the velocity

Get the velocity;

v = displacement/time

velocity = 2000/120

velcoity = 16.7m/s

Gt the kinetic energy

KE = 1/2 * 500 * 16.7²

KE = 250*277.78

KE = 69,444.4Joules

Since 1000J = 1kJ

69,444.4Joules = 69,444.4/1000

69,444.4Joules = 69.44kJ

Hence the Secretariat's average kinetic energy is  69.44kJ

Answer:C 69.0kJ

Explanation:

Which statement best describes an electric current?
A Energy transfers inside of an electric device.

B Charged particles move
through a conductor.

C Type of conductor or insulator.

D The measurement of the electric potential energy in a circuit.

Answers

Answer:

its B

Explanation:

the movement of charged particles in a conductor

Charged particles move through a conductor best describes an Electric current.

What is Electric current?

A stream of charged particles, such as electrons or ions, traveling through an electrical conductor or a vacuum is known as an electric current.

Charge carriers, which can be any of a number of particle kinds depending on the conductor, are the moving particles. Electrons flowing over a wire are frequently used as charge carriers in electric circuits.

They can be electrons or holes in semiconductors. Ions are the charge carriers in an electrolyte, whereas ions and electrons are the charge carriers in plasma, an ionized gas.

Therefore, Charged particles move through a conductor best describes an Electric current.

To learn more about electric current, refer to the link:

https://brainly.com/question/2264542

#SPJ2

What is the energy transformation of these street lights with solar panels?

Answers

Solar LED street lights rely on the photovoltaic effect, which allows the solar cell to convert sunlight into usable electrical energy.

How does variation impact natural selection?

Answers

The answer to this is D!

What is S.I units? ​

Answers

Answer:

Explanation:

he SI rests on a foundation of seven (7) defining constants: the cesium hyperfine splitting frequency, the speed of light in vacuum, the Planck constant, the elementary charge (i.e. the charge on a proton), the Boltzmann constant, the Avogadro constant, and the luminous efficacy of a specified monochromatic source. Definitions of all seven (7) SI base units are expressed using an explicit-constant formulation and experimentally realized using a specific mises en pratique (practical technique).

The seven SI base units, which are comprised of:

Length - meter (m)

Time - second (s)

Amount of substance - mole (mole)

Electric current - ampere (A)

Temperature - kelvin (K)

Luminous intensity - candela (cd)

Mass - kilogram (kg)

The International System of Units (SI), commonly known as the metric system, is the international standard for measurement. The International Treaty of the Meter was signed in Paris on May 20, 1875 by seventeen countries, including the United States and is now celebrated around the globe as World Metrology Day. NIST provides official U.S. representation in the various international bodies established by the Meter Convention: CGPM - General Conference on Weights and Measures; CIPM - International Committee for Weights and Measures; and BIPM - The International Bureau of Weights and Measures.

The SI is made up of 7 base units that define the 22 derived units with special names and symbols. The SI plays an essential role in international commerce and is commonly used in scientific and technological research and development. Learn more about the SI in NIST SP 330 and SP 811.

Resources for Students and Teachers

Redefining the SI – In November 2018, the world’s measurement experts voted and unanimously approved a revision of the SI that establishes a measurement system entirely based on physical constants of nature. The changes became effective on World Metrology Day, May 20, 2019. (NIST)

Learn more about the Road to the Revised SI. Learn more about the SI Redefinition.(NIST)

The Last Artifact documentary and companion Grade 5 to 12 educational resources, which document the work that went on behind the scenes to modernize the International System of Units (SI). (Montana PBS)

NIST SP 1247 SI Base Units Relationships Poster – a colorful poster illustrating the relationships of the International System of Units (SI) derived units with special names and symbols and the seven traditional base units. (NIST)

Metric Trivia Quiz – How much do you know about the metric system (SI)? Try the NIST Metric Trivia Quiz online or use the Alexa skill to test your knowledge and be on your way to thinking metric! (NIST)

SI Education and Training – Explore NIST metric system education resources that build SI measurement system familiarity and fluency. (NIST)

Kids Education Resources. (NIST)

Busting Myths about the Metric System. (NIST Taking Measure Blog)

Resources

Becoming Familiar with SI

Everyday Estimation

Metrication FAQs

Prefixes

SI Publications

Understanding Metric

Writing with Metric Units

Answer:

International System of Units??

HELP ASAP!! WILL TRY TO GIVE BRAINLIEST

How are ribosomes different from other complex animal cell organelles?

Answers

Explanation:

Ribosomes are not quite the same as different organelles since they have no layer around them that isolates them from different organelles, they comprise of two subunits, and when they are creating sure proteins they can become film bound to the endoplasmic reticulum, however they can likewise be free drifting while at the same time performing

In object moving with a speed of 21M/S and has a kinetic energy of 140j, what is thr mass of the object

Answers

The answer should be 0.63 and then whatever unit the question asks for like kg or g.

Uncle Harry weighs 750 N. What is his mass in kg?

Answers

Answer:

W = MG

750 = M * 10

M = 750/10

M = 75 kg

Answer:

76.479 Kilograms Force (kgf)

Explanation:

How much power does it take to do 1000 J of work in 8 seconds?

Answers

Power = work/time
1000/8 = 125
Answer: 125 watts

Two equal forces act at the same time on the same motionless object, but in opposite directions. Which statement best describes the object’s resulting motion?


A. The object will accelerate.

B. The object will move at a constant speed.

C. The object will remain motionless.

D. The object will change direction.

Answers

I think the answer is C

What is the distance between a 2000 kg truck and a 3000 kg truck if the gravitational force between them is 0.00006 N?
A 258
B. 567 m
C 981
D. 15

Answers

Answer:

A. 2.58m

Explanation:

Using the formula;

F = GMm/r²

M and  m are the masses

G is the gravitational constant

r is the distance between the masses

Substitute

0.00006 = 6.67*10^-11(2000)(3000)/r²

0.00006r² = 6.67*10^-11*6000000

0.00006r² = 40.02*10^-5

0.00006r² = 0.0004

r² =  0.0004/0.00006

r² = 6.66

r = 2.58m

Hence the distance between them is 2.58m

If a small motor does 520 J of work to move a toy car 260 m in 3.0 seconds, how much power is being applied by the motor?

Answers

Answer:

P = 173.33 [W]

Explanation:

Power is defined as the amount of work done over a given time.

W = work = 520 [J]

t = time = 3 [s]

P = power [w]

Therefore by working relationship over time we can calculate the power.

[tex]P =W/t\\P = 520/3\\P=173.33[W][/tex]

Other Questions
Please help me circles..... Which sentence is in the subjunctive mood?If I were braver, I would learn to walk a tightrope.Lets go to clown town tomorrow.clowns are dangerous animals.Do you like the clowns? Leisure Time Corp. follows the practice of paying all employees for vacation. The vacation pay is not vested, but it carries over for one year if unused. The obligation for earned but unused vacation should be Who was Toussaint L'Ouverture? (1 point) aThe captain of the ship El Cazador bThe French mayor of New Orleans cA plantation owner in Santo Domingo dA former slave who led the Haitian rebellion Find the zeros of the function.Enter the solutions from least to greatest.f(x) = 5x^2 20 Are you study of a population of 1200 frogs you feel that sold out of every 180 frogs in the population has spots on the back based on the results of the other study how many frogs in the population do not have spots in the back PLEASE ANSWER MY LAST QUESTIONNNN!!!!!!I NEED TO TURN IT IN VERY SOON!! The molecules in a solid do not move.TrueFalse Please answer this question ASAP 16. What is the purpose of a works cited page?a. to prevent others from copying your workb. to qualify your paper as an official piece of researchc. to provide credit for the work of othersd. to make the paper writing process even more painful The product of a number and negative three is twenty-seven. Which of the following could represent this statement? Which of these situations might lead to a lawsuit for negligence? Question 1 options: A worker is killed after his employer fails to repair a piece of equipment A professional football player quits the team a year before his contract expires Divorcing parents argue over custody of their children. Neighbors disagree over the boundary between their land Plzz help!!!!! I am not good at science!!! Somebody Please solve this question without using L Hospital rule.Evaluate if: python for data Science and al Use a model to divide. 1/4 divided by 3.Possible answers are,3/691/121/6 Ezra was a scribe who guided the writing of thea.Koran.c.Gospels.b.Book of the Dead.d.Torah. Earth's continents are drifting slowly to this day.A) TrueB) False, they are fixed in place.C) False, they are moving very quickly.D) False, unless you change continents to oceans. What is a million times 0000000000000000000 the answer is 0 What does Effie mean when she says, ...If you put enough pressure oncoal, it turns into pearls!"? This is from hunger games.