a stone is thrown horizonttaly from a cliff of a hill with an initial velocity of 30m/s it hits the ground at a horizontal distance of 80m from the foot of the hill how long does a stone travel? what is the height of the hill? (please show the process)​

Answers

Answer 1

Answer:

a) Time = 2.67 s

b) Height = 35.0 m

Explanation:

a) The time of flight can be found using the following equation:

[tex] x_{f} = x_{0} + v_{0_{x}}t + \frac{1}{2}at^{2} [/tex]   (1)

Where:

[tex] x_{f}[/tex]: is the final position in the horizontal direction = 80 m

[tex] x_{0}[/tex]: is the initial position in the horizontal direction = 0

[tex]v_{0_{x}}[/tex]: is the initial velocity in the horizontal direction = 30 m/s

a: is the acceleration in the horizontal direction = 0 (the stone is only accelerated by gravity)

t: is the time =?  

By entering the above values into equation (1) and solving for "t", we can find the time of flight of the stone:  

[tex] t = \frac{x_{f}}{v_{0}} = \frac{80 m}{30 m/s} = 2.67 s [/tex]

b) The height of the hill is given by:

[tex] y_{f} = y_{0} + v_{0_{y}}t - \frac{1}{2}gt^{2} [/tex]

Where:

[tex] y_{f}[/tex]: is the final position in the vertical direction = 0

[tex] y_{0}[/tex]: is the initial position in the vertical direction =?

[tex]v_{0_{y}}[/tex]: is the initial velocity in the vertical direction =0 (the stone is thrown horizontally)            

g: is the acceleration due to gravity = 9.81 m/s²

Hence, the height of the hill is:

[tex] y_{0} = \frac{1}{2}gt^{2} = \frac{1}{2}9.81 m/s^{2}*(2.67 s)^{2} = 35.0 m [/tex]  

I hope it helps you!


Related Questions

help meeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

Just like a chemical reaction.

Which indicates that light travels in straight lines?
A. Color
B. Pigments
C. Shadows
D. Waves

Answers

Answer:

A

Explanation:

Answer:

C

Explanation:

Light travels in straight lines

Shadows are evidence of light travelling in straight lines. An object blocks light so that it can't reach the surface where we see the shadow.

Calculate the momentum of a 6 kg rock that is rolling down a hill with a velocity of 4 m/s.

Answers

Answer:

24kgm/s

Explanation:

momentum(p)=mass×velocity

=6×4

=24 kgm/s

In which of the following situations is the Doppler effect absent?

Answers

The source and the observer are moving towards each other. The observer is moving toward the source. The source is moving away from the observer

You look down at your phone GPS and it tells you the local park is 2 miles away. This is not a straight path and you will need to make a few turns to get there. The path you take to the park describes your ________ from the park

Answers

Answer:

Distance.

[tex] \infty \infty [/tex]

Answer:

Distance

Explanation:

Because each path you take will have a different distance. Each path will be different, leading to a different distance. Hope this helped :D

help meeeeeeeeeeee
what is the rheostat and what its ruleeee??​

Answers

Answer:

Rheostat:

=> Rheostat is an electric device used as a variable resistance, like the regulator of the fan. It is used to change the electric resistance in the electric circuit.

Principle / Rule:

=> Rheostat works on the principle of Ohm’s law. Ohm’s law states that current in a circuit is inversely proportional to the resistance at the given temperature.

[tex] \infty \infty \infty [/tex]


1. Jen is stepping out of a boat on to a dock. She has one foot on the dock and one foot in
the boat. No one holds on to the boat. It begins to move away from the dock. Jen's legs
split wider and wider. Which law applies?

Answers

you tend to push off with the foot still on the boat.

Newtons 3rd law of motion hold that every action has an equal and opposite reaction.

So, the amount of force you use on your back foot to push yourself onto the dock, has an equal end opposite amount of force going the other way from your sole of your foot, which pushes the boat the other way.

The same principle applies when you fire a cannon - in the pirate films, you see the body of the cannon forced back as it is fired.

Take it one step further, Henry VIII flagship, “Mary Rose fired all its cannons together one day in a broad side, the opposite force rolled the ship over and sank it.

Which of the following is a result of a limiting factor in an ecosystem?


a. A pond has only produced a small amount of algae, so the fish population is also small.

b. The weather was extra humid last summer and there were more mosquitos than ever before.

c. A farmer planted new grass and months later his animals looked healthier than they’ve looked in years.

d. This year, ticks are supposed to be worse than in previous years, with a huge number of them carrying Lyme Disease.

Answers

Answer:A - a pond has only produced a small amount of algae, so the fish population is also small. i’m pretty sure that’s correct.

Explanation: The amount of alage determines the size,or carrying capasity of the fish population,so it is a limiting factor.

Hope I could help!Brainlist?plz

Pierce conducts an experiment in which waves collide in a way that the energy increases. What has occurred? refraction reflection constructive interference destructive interference

Answers

Answer:

constructive interference.

Explanation:

Electromagnetic waves is a propagating medium used in all communications device to transmit data (messages) from the device of the sender to the device of the receiver.

Generally, the most commonly used electromagnetic wave technology in telecommunications is radio waves.

Radio waves can be defined as an electromagnetic wave that has its frequency ranging from 30 GHz to 300 GHz and its wavelength between 1mm and 3000m.

In this scenario, an experiment is conducted by Pierce in which waves collide in a way that the energy increases. Thus, this is an example of constructive interference i.e constructive interference has occurred.

An interference occurs when two pair of waves such as sound and light waves pass through each other i.e crossing each other's path while traveling through the same medium or space.

Answer:

constructive interference.

Explanation:

List five objects in your daily life that produce sounds with a high pitch and five that produce sounds with a low pitch.

Answers

Answer:

Explanation:

High pitch:

-birds chirping

-nails on a chalkboard

-flies buzzing

-children squealing

-whistle

Low pitch:

-thunder

-dogs barking

- earthquakes

-  bass drum,

-cannon shot,

5 example of high pitch sound

baby crying , whistle ,  school bell , fire alarm , chirping of birds

5 example of low pitch sound

thunder , drum , earthquake , generator , animal roar

What is a pitch ?

It is the effect or sensation produce in brain due to sound of some particular frequency

5 example of high pitch sound

baby crying , whistle ,  school bell , fire alarm , chirping of birds

5 example of low pitch sound

thunder , drum , earthquake , generator , animal roar

learn more about pitch :

https://brainly.com/question/20382587?referrer=searchResults

#SPJ2

Part F
How could you add more energy to the car?

Answers

Answer:

with fuel

Explanation:

Answer:

you can add more energy to the car by launching it again.

Explanation:

Order these sounds from loudest (1) to softest (4). airplane: whisper: crowd at sporting event: rainfall:

Answers

Answer:

The arrangement of the following from loudest to softest include:

crowd at sporting event

airplane

rainfall

whisper

Explanation:

When it comes to the arrangements, the pitch of the noise which emerge is what was considered. For example, crowd at sporting event has the highest pitch especially during football matches followed by the airplane sounds during its take-off and landing in the airports. As for whisper, it happens to be the one with softest sound.

Answer:

Airplane. 1

Whisper. 4

Crowd at sporting event. 2

Rainfall. 3

Explanation:

hope this helps

A 30 kg child is sitting on a swing. Their weight is exerting a downward force on the swing. The ropes are exerting an upward force on the swing. The swing is not moving. What is the net force on the swing?

A.294 N down
B.294 N up
C.0 N
D.30 kg

Answers

B.294 N up is the answers
Djgidodlckf dkdngrfndkckgdkckv

List and discuss 5 importances
of land-​

Answers

1. Farming
2. Water
3. Supports wild life
4. Helps perform all economic activities
5. Gives shelter

Hope this helps if so mark me the brainiest!!

ASAPPPPP NO LINKS PLSSSS *FOR TEST TOMORROW*
Meanings for:
- Automation
- Fulcrum
- Consumerism

Answers

Automation:

1. The creation and application of technology to monitor and control the production and delivery of products and services.

2. The use of machines and technology to make processes run on their own without manpower.

Examples to make you understand better:

Automations are in Meetings, Hiring Process, Employee Analytics.

Quote:

"In manufacturing, a system or method in which many or all of the processes of production, movement, and inspection of parts and materials are automatically performed or controlled by self-operating machinery, electronic devices, etc."

Fulcrum:

Picture Included.

1. The support about which a lever turns

2.The support or point of support on which a lever turns in raising or moving something

Consumerism:

Quote:

"Consumerism has a good and bad side. Although consumerism drives economic growth and boosts innovation, it comes with a fair share of problems ranging from environmental and moral degradation to higher debt levels and mental health problems."

Definition:

1. "The growth of consumerism has led to many organizations improving their service to the customer"

2. Spending money and consuming goods is good for the economy.

3. The protection or promotion of the interests of consumers.

I hope this helped!+*♡

electrons that move away from their atoms cause?

Answers

Explanation:

when a positive charged object is placed near a conductor electrons are attracted the object when electric voltage is applied an electric field within the metal triggers the movement of the elections making them shift from one end to another end of the conductor electrons will move toward the positive side

This a solving question

Please please help

Answers

Answer:

Part A

The sound intensity at the location 150 from the firework = 4.3[tex]\overline 5[/tex] W/m²

Part B

The power the firework is emitting is approximately 1,231.5 kW

Explanation:

Part A

The data of the firework sound heard by the two friends are;

Let 'A' represent the location of the friend at a point 150 m from the fireworks and let 'B' represent the location of the friend watching from a distance of 700 m from the firework

The distance of 'A' from the sound, r₁ = 150 m

The distance of 'B' from the sound, r₂ = 700 m

The intensity at which 'B' hears the sound, I₂ = 0.2 W/m²

The relationship between sound intensity and distance is given as follows;

[tex]\dfrac{I_2}{I_1} = \left (\dfrac{r_1}{r_2} \right )^2[/tex]

[tex]\therefore {I_1} = \dfrac{I_2}{ \left (\dfrac{r_1}{r_2} \right )^2} = I_2 \times \left (\dfrac{r_2}{r_1} \right )^2[/tex]

Plugging in the values gives;

[tex]\therefore {I_1} = 0.2 \times \left (\dfrac{700}{150} \right )^2 = \dfrac{196}{45} = 4.3\overline 5[/tex]

The sound intensity at location 'A', I₁ = 4.3[tex]\overline 5[/tex] W/m²

Part B

The relationship between power, 'P', and intensity, 'I', is presented as follows;

[tex]I = \dfrac{P}{4 \cdot \pi \cdot r^2}[/tex]

P = I·4·π·r² = 4·I·π·r²

Therefore, at point 'A', where the distance, r₁ = 150 m, and the intensity, I₁ = 4.3[tex]\overline 5[/tex] W/m², we have;

P = 4 × 4.3[tex]\overline 5[/tex] W/m² × π × (150 m)² = 1231504.32021 W

The power the firework is emitting, P ≈ 1,231.5 kW.

A lens with f=15.0 cm is held 29.0 cm from an object. Where does the image form

Answers

Answer:

Magnification, m = 3

Explanation:

It is given that,

Focal length of the lens, f = 15 cm

Object distance, u = -10 cm

Lens formula :

v is image distance

Magnification,

So, the magnification of the lens is 3.

Answer:

31.1

Explanation:

Trust brother

Smaller the surface area greater the gravitational force and vice–versa yes or no? justify the statement. ​

Answers

Answer:

It is true that Smaller the surface area greater the gravitational force and vice versa

Explanation:

The gravitational force depends on the distance between the two objects

F=GMm/r2

where G = gravitational constant

M = mass of one object

m = mass of second object

r is the distance between the two objects

Gravitational force is inversely proportional to the square of the distance between two objects. Hence, it can be said the Gravitational force is inversely proportional to the area and hence as the area increases gravitational force will decrease or vice versa

Ali mixes 20g of Sodium Chloride in 100g of water at 15 Degree °C. Calculate the mass of the solution

Answers

Answer:

The mass of the solution is 120 g.

Explanation:

The mass of the solution is given by:

[tex] m_{sol} = m_{1} + m_{2} [/tex]

Where:

[tex]m_{sol}[/tex]: is the mass of the solution

[tex]m_{1}[/tex]: is the mass of the solvent

[tex]m_{2}[/tex]: is the mass of the solute

In the solution, the solvent is the majority compound (in mass) and the solute is the minority (in mass), so the solvent is the water and the solute is sodium chloride.          

Hence, the mass of the solution is:

[tex] m_{sol} = m_{1} + m_{2} = 100 g + 20 g = 120 g [/tex]  

I hope it helps you!                  

The metric unit that is most often used to describe weight is the _________​

Answers

Answer:

mass

Explanation:

mass is used in measuring weight. for example kg, tonnes

mass like kg :))))))))))))))

A Cathode of initial mass 10.00g weigh to 10.05g
after a Current of SA passes through the voltmeter of 10 minutes - Calculate the E.C.E of the metal deposed

Answers

Answer:

i'm sorry i'm not a physics student

Eye at the lowest radiated power of 1,2 x10 x (- 17) W. Determine how many photons of light with a wavelength of 500nm fall on the retina of the eye every second

Answers

Answer:

[tex]\frac{n}{t} = 30\ photons/s[/tex]

Explanation:

The radiated power can be given in terms of the wavelength as follows:

[tex]Rasiated\ Power = \frac{nE}{t} = \frac{nhc}{\lambda t}[/tex]

where,

Radiated Power = 1.2 x 10⁻¹⁷ W

n = no. of photons = ?

h = plank's constant = 6.625 x 10⁻³⁴ J.s

c = speed of light = 3 x 10⁸ m/s

λ = wavelength = 500 nm = 5 x 10⁻⁷ m

t = time

Therefore,

[tex]1.2\ x\ 10^{-17}\ W = \frac{n(6.625\ x\ 10^{-34}\ J.s)(3\ x\ 10^8\ m/s)}{(5\ x\ 10^{-7}\ m)(t) }\\\\\frac{n}{t} = \frac{1.2\ x\ 10^{-17}\ W}{3.975\ x\ 10^{-19}\ J}\\\\\frac{n}{t} = 30\ photons/s[/tex]

A(n) _________ is an object that is thrown.​

Answers

Answer:

projectile

Explanation:

Answer:

the answer is projectile

Explanation:

this is because like take a nerf gun for example when u fire it PROJECTS the dart from the gun. may i be marked brainliest?

Three resistors of 100, 40.0, and
10.0 Ohms are in series with a
24.0 V power supply. What is the
current in the circuit?

Answers

Answer:

0.16 A

Explanation:

V = IRtotal

24V = I(100 + 40 + 10)

I = 0.16 A

Answer: 0.16 is correct

Explanation:

Which product forms from the synthesis reaction between calcium (Ca) and
chlorine (CI)?
A. CaCl2
B. CaCl
C. Ca2Cl2
O D. Caci
SUBMIT

Answers

Answer:

CaCl2

Explanation:

Answer:

its a! the answer is a

Explanation:

A cannon and a supply of cannonballs are in a sealed system railroad car. The car has a length of 20 meters, and a mass of 2000kg. The cannon fires to the right, the car recoils to the left. Fired cannonballs remain in the car after hitting the wall and land on the floor at the end of the car. The cannonballs have a mass of 15 kg each, and there are ten of them. (neglect mass of cannon) How far will the car move after all ten have been fired

Answers

Answer:

The distance the car moves after all ten cannonballs have been fired is 1.5 meters  

Explanation:

The parameters given in the question are;

The length of the car = 20 meters

The mass of the of the cannon ball, m₁ = 2,000 kg

The direction the cannon fires = The right

The direction the car recoils = The left

The mass of each cannonball, m₂ = 15 kg

The number of cannonballs = 10

Let v₁ represent the speed of the car and let v₂ represent the speed of the cannonball, where momentum is conserved, we have;

m₁·v₁ = m₂·v₂

2000 × v₁ = 15 × v₂

400·v₁ = 3·v₂

Therefore, when the cannon ball travels 400 meters, the railroad car travels 3 meters

Similarly, when the cannon ball travels 400/20 = 20 meters, the distance the railroad car travels, d = 3/20 meters

We not that the railroad car and the car are brought to a stop each time the cannonball hits the watt

Therefore, the total distance moved by the car after all ten have been fired, [tex]d_{total}[/tex], is given as follows;

[tex]d_{total}[/tex] = d × The number of balls fired

∴ [tex]d_{total}[/tex] = 3/20 meters per ball × 10 balls = 3/2 meters = 1.5 meters

The total distance moved by the car, [tex]d_{total}[/tex] = How far the car moves after all ten have been fired = 1.5 meters.

pls help with science!!!!!​

Answers

Answer:

Your answer is C~

Explanation:

Which type of reaction is this?
CH3COOH + H20 2 H+ + CH3C00

Answers

Answer:

dissociation of acetic acid (like vinegar) in water

Explanation:

CH3COOH is basically vinegar (aka acetic acid)

dissociation of acetic acid in water

so when you put vinegar in water it makes 2 hydrogen ions (H+) and acetate ( CH3C00 ) a chemical that used in making film

Studying this brochure from nasa, which explains more detail the instruments carried by the Juno spacecraft which scientific activities will jump conduct on its trip to Jupiter? Check all that apply

Answers

Answer:

Juno scientific payload includes:

A gravity/radio science system (Gravity Science) A six-wavelength microwave radiometer for atmospheric sounding and composition (MWR) A vector magnetometer (MAG) Plasma and energetic particle detectors (JADE and JEDI) A radio/plasma wave experiment (Waves) An ultraviolet imager/spectrometer (UVS) An infrared imager/spectrometer (JIRAM)

Explanation:

Each mission of NASA has a specific set of instruments that it uses to perform scientific experiments on the desired heavenly body. In case of Juno, the mission for Jupiter has a series of instruments that would study domains of gravitational forces, magnetic effect, particle detection, radiation detection, UV/IR imaging, and plasma experiments.

Other Questions
Analysis of observations:O Should be left to supervisors.O Should be left to parentsOls objectiveO is subjectiveO is unnecessary Which of these best describes a news blog?A. A Web site that shows the coverage of various news outlets on asingle issueB. A government news bulletinC. A news program that combines information and entertainmentD. A Web page with a person's thoughts about news issuesSUBMIT What is physic?............ may someone please help me? Im having trouble finding G and H. It would be okay if you only found G for me. I will give the first answer a brainliest if it is reasonable or correct! Thanks you Which is an implied power of Congress? The data below are the ages and systolic blood pressures (measured in millimeters of mercury) of 9 randomly selected adults. Age 38 41 45 48 51 53 57 61 65 Pressure 116 120 123 131 142 145 148 150 152 What is the best predicted value for blood pressure of an individual who is 64 years old Please help ;( question and answer options in photozoom in if needed Thank You :D Can anyone help me with this?Thank you HelpSee the picture in your own opinion, why is it communication is central to effective advocacy?i'm not interested in people sending links.thankss. The human body organ known as the pancreas secretes the hormones insulin and glucagon. These hormones regulate the levelof glucose in the bloodstream. If the level of glucose is too low, the pancreas secretes glucagon which causes the glucose levelto increase; if the glucose level is too high, the hormone insulin will lower the glucose level.What name is given to this type of regulatory system?A)endocytosisB)homeostasismeiosisD)symbiosis 20 points!!!!in2. Round to the nearest wholeThe area of the figure below isnumber what is the slope of this graph Suppose {an) is an arithmetic sequence with a16=12 and a7=30. Find a9. If i already have the area of a circle which is: 197.2. how do i find the radius, diameter, and the circumference? please help me Sandy is getting ready for the day. She can wear either a balck or white shirt and then either pants, shorts, or a skirt. Create a tree diagram or label all the combinations she can make. How many are there total? 19. Find x: (17x-7)*G19HELP W ALL 3 !! Help plz is 1-8 right??!!! 7x+2y=475x-4y=1use elimination method Find the value of x need help fast