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

Doing science by inquiry always involves:​

Answers

B: asking questions

(Hope this helps)

A 1200 kg car accelerates from rest to 10.0 m/s in a time of 4.50 seconds. Calculate the force that the car’s tires exerted on the road.
please help me i need the answer in 10 mins

Answers

Answer:

the force that the car’s tires exerted on the road is 2,666.67 N.

Explanation:

Given;

mass of the car, m = 1,200 kg

initial velocity of the car, u = 0

final velocity of the car, v =  10.0 m/s

time of motion, t = 4.50 s

The force the car’s tires exerted on the road is calculated as follows;

[tex]F = ma= \frac{m(v-u)}{t} \\\\F = \frac{1200(10-0)}{4.5} \\\\F = 2,666.67 \ N[/tex]

Therefore, the force that the car’s tires exerted on the road is 2,666.67 N.

what causes a ball rolling across the floor to slow down low of motion​

Answers

Answer:

Friction is a force that slows down moving objects. If you roll a ball across a shaggy rug, you can see that there are lumps and bumps in the rug that make the ball slow down. The rubbing, or friction, between the ball and the rug is what makes the ball stop rolling.

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 ASAP i have already failed this test once i cant fail it again

Answers

Answer:

Petrochemicals are a set of chemical compounds that fuel a wide array of products across the globe. They are made of hydrocarbons that are separated and extracted from petroleum (crude oil) and natural gas and are at the core of multiple industries, including: Cosmetics. Electronics. Packaging.

Answer:

B. I think Gasoline, natural gas, and diesel fuel

I'm truly sorry if it's wrong :(

Explanation:

a uniform metre scale rests horizontally on a knife edge at the 60cm mark when a mass of 10 gram is suspended from one end . at which end this mass be suspended . what is the mass of meter scale?

Answers

Answer:

40 gram or 0.04 kilogram

Explanation:

From the diagram attached,

The mass must be suspended at end B.

Applying the principle of moment,

Sum of clockwise moment = sum of anti-clockwise moment.

From the diagram,

Taking the moment about the pivot,

X(60-50) = 0.1(100-60)

Where X = weigth of the meter rule

10X = 4

X = 4/10

X = 0.4 N

X = 0.4/10

X = 0.04 kg

X = 40 g

Hence the mass of the meter rule = 0.04 kg or 40 gram

An ecosystem is a group of organisms and the habitat in which they live together. All organisms in an ecosystem interact with each other and their environment.

Some organisms interact as part of a food chain or food web. A food web is a complicated set of interrelated food chains all found in one ecosystem. Matter and energy are transferred from one organism to another at each step. They go through the producers like plants, which make their own food, consumers like animals, which eat other living things, and decomposers like bacteria, which break down dead organisms and help cycle energy and nutrients back into the environment.

For example, in the hot African Savannah, a herd of antelope gets energy from the grass they eat. A pride of lions chases down and consumes an antelope, gaining energy from the flesh of their prey. One of the lions is very old, and soon dies. Scavengers gain energy as they pick over his dead body. This is just one example of a string of events that is the food chain.

In the food chain described above, what are the producers?


a. the antelope that eat the grass

b. the scavengers that eat the dead lion

c. the grasses the antelope eat

d. the lions that eat the antelope

Answers

Answer:

C

Explanation:

producers must be a green plant

Answer: C

Explanation:

Producers, also known as autotrophs, make their own food. They make up the first level of every food chain. Autotrophs are usually plants or one-celled organisms. Nearly all autotrophs use a process called photosynthesis to create “food” (a nutrient called glucose) from sunlight, carbon dioxide, and water.

Dr. Kirwan is preparing a slide show that he will present to the executive board at tonight's committee meeting. He places a 3.50-cm slide behind a lens of 20.0 cm focal length in the slide projector. A) How far from the lens should the slide be placed in order to shine on a screen 6.00 m away? B) How wide must the screen be to accommodate the projected image?​

Answers

Answer:

A) d_o = 20.7 cm

B) h_i = 1.014 m

Explanation:

A) To solve this, we will use the lens equation formula;

1/f = 1/d_o + 1/d_i

Where;

f is focal Length = 20 cm = 0.2

d_o is object distance

d_i is image distance = 6m

1/0.2 = 1/d_o + 1/6

1/d_o = 1/0.2 - 1/6

1/d_o = 4.8333

d_o = 1/4.8333

d_o = 0.207 m

d_o = 20.7 cm

B) to solve this, we will use the magnification equation;

M = h_i/h_o = d_i/d_o

Where;

h_o = 3.5 cm = 0.035 m

d_i = 6 m

d_o = 20.7 cm = 0.207 m

Thus;

h_i = (6/0.207) × 0.035

h_i = 1.014 m

help.....please science​

Answers

Answer:

please mark me brainliest

Explanation:

ohm

The SI-derived unit of electric resistance is the ohm, which is defined as a volt per ampere.

Answer:

I cant see that

Choose the correct statement below that accurately describes the shear and normal stresses in a beam. A. Shear stresses are maximum at the neutral axis and normal stresses are maximum furthest from the neutral axis. B. Normal stresses are maximum at the neutral axis and shear stresses are maximum furthest from the neutral axis. C. Shear stresses and normal stresses are maximum at the neutral axis. D. Shear stresses and normal stresses are maximum furthest from the neutral axis.

Answers

Answer:

A. Shear stresses are maximum at the neutral axis and normal stresses are maximum furthest from the neutral axis.

Explanation:

Normal stress :

Normal stress is defined as the stress or the restoring force that occurs on the plane when an external axial load is applied on it. For a beam the normal stress is maximum at the point furthest from the neutral axis and is zero at the neutral axis of the beam.

Shear stress :

Shear stress is a stress which occurs when the force acts on the surface of the member in a parallel direction. It changes the shape of the member.  For a beam, the shear stress is maximum at the neutral axis.

Describe in brief the importance of measurement in our daily life?

Answers

Measurement tools make our lives safer and better? And they increase the quality and quantity of life. Arguably, the ability to measure calculating

physical properties accurately have tremendous survival value that gives humans adaptive, evolutionary advantages sharpened through many years of natural selection.

You could take magnet and ____ it in half and all the pieces would have ____ and ____ ______ .

Answers

You could take a magnet and break it into pieces and all of the pieces would have north and south poles.

A car has wheels of radius of 0.380 m and they rotate once every 0.100 s. What is the linear velocity of the wheels? (Units = m/s)

Answers

Answer:

v = 23.87 m/s

Explanation:

Given that,

The radius of wheels, r = 0.380 m

The wheels rotate once every 0.1 s

We need to find the linear velocity of the wheels. The linear velocity of a wheel is given by :

[tex]v=\dfrac{2\pi r}{t}\\\\=\dfrac{2\pi \times 0.38}{0.1}\\\\=23.87\ m/s[/tex]

So, the required linear velocity of the wheel is equal to 23.87 m/s.

Complete the passage to describe wave interaction of diffracted waves.


Diffracted waves of light interact with other waves and interference occurs. When the interference is constructive, this is shown as a

band on the screen. When the interference is destructive, this is shown as a

band on the screen.

Answers

Answer: When the interference is constructive, this is shown as a bright band on the screen. When the interference is destructive, this is shown as a dark band on the screen.

Explanation: edge 2021

Answer:Bright and Dark

Explanation:

Which of the following describes a transfer of energy through work?
A student carries a heavy backpack one km
O A laboratory burner is used to heat 250 ml of water to boiling,
O A woman pushes a luggage cart in an airport over a distance of 100 m
O A man pushes on a large piece of furniture for 15 min, but it does not move.

Answers

C the answer is C this is the correct answer

Write your views on pyramid.
=> No copy Paste
=> Conspiracy theories are accepted​

Answers

Answer:

pyramid is a body or structure whose outer surfaces are triangular and converge to a first step at the the top which base may be in a shape of triangle ,rectangle,square and other any shape.

Explanation:

its volume is equal to product of area of base and height of it..

the lateral surface area of a regular pyramid is equal to the sum of the areas of its lateral faces.

the total surface area of a regular pyramid is equal to the sum of the lateral surface areas of pyramid and base.

Answer:

A pyramid is a polyhedron for which the base is a polygon and all lateral faces are triangles. A pyramid is described by the shape of its base . for example , a triangular pyramid has a triangular base , square pyramid has a square base .

hope it is helpful to you

U will be marked as brainlest if you solve this ex​

Answers

Answer:

.

Explanation:

name them all

then multiply

after it simplify

A go-cart and rider have a mass of 100 kg. If the cart accelerates at 5 m/s2 during a 25 m sprint, how much work did the cart do

Answers

Answer:20watts

Explanation:

Answer:

The solution is given below

Explanation:

The computation is shown below;

We know that

Work done = Fs cosθ

But before that we need to determine the force i.e.  

We know that

Force (F) = mass (m) × Acceleration (a)

= 100 × 5

= 500 N

Now,  work done by the go-cart is  

Work done (W) = Fs cosθ

= 500 × 25 × cos(0°)

=  500 × 25 × 1

= 12,500 J

The angle of incidence of another red ray is 65º. The refractive index of the glass of block
ABCD for red light is 1.62.
(i) Calculate the angle of refraction in the glass for this ray.

Answers

Answer:

34º

Explanation:

The computation of the angle of refraction in the glass for this ray is shown below:

Given that

the angle of incidence of another red ray is 65º

And, n_1 = 1

n_2 = 1.62

According to shell law

n_1 sin [tex]\theta[/tex]_1 = n_2 sin [tex]\theta[/tex]_r

sin [tex]\theta[/tex]_r = 1 sin 65÷ 1.62

= 0.559

[tex]\theta[/tex]_r  = sin^-1 (0.559)

= 34º

the pulley is a uniform disk with a mass of 0.75 kg and a radius of 6.5
on between the 5.8 kg mass and the horizontal surface is 0.25, and the
The system is released from rest. Use work-energy principles to deter
2.8 kg mass and (b) the pulley after the 5.8 kg mass has moved 2.2 m

Answers

Answer:

please find the answer in the attached images , in 2 parts, btw thanks for so many points. i hope my answers are correct.

What is the Deepest point of the ocean and where is it?

Answers

Answer:

marinas trench in Pacific Ocean

mark it as brainliest

Explanation:

Located in the western Pacific Ocean, the Marina Trench

Which way does the weight point in an FBD?
the answer would depend on the motion of the object
down
perpendicular to the surface
up

Answers

Answer:

the answer would depend on the motion if the surface

Which of the following is an example of an omnivore?
A
an herb like basil, which gets energy from the sun
B
a dog, which eats meat and vegetables
с
a dinosaur that only eats marsh grasses
D
a buzzard that only eats roadkill

Answers

Answer:

B a dog omnivor is like us we are hunter gatherers, plants and meat

Answer:

B

Explanation:

omnivores eat both crops and meat .The dog exhibited this trait.

John often sees squiggly lines when he looks at a bright sky or white paper. His doctor says that they are called eye floaters, which are small bits of protein in the fluid that fills the eyeball.
In what part of the eye are eye floaters found?
a) cornea
b) vitreous humor
c) retina
d) convex lens

Answers

Answer- It's B, i double checked it on a few websites

The vitreous humor is the eye is eye floaters.

What is vitreous humor?

The vitreous body (vitreous meaning "glass-like"; from Latin vitreus 'glassy', from vitrum 'glass', and -eus) is the clear gel that fills the space between the lens and the retina of the eyeball (the vitreous chamber) in humans and other vertebrates. It is often referred to as the vitreous humor (also spelled humour, from Latin meaning liquid) or simply "the vitreous". Vitreous fluid or "liquid vitreous" is the liquid component of the vitreous gel, found after a vitreous detachment. It is not to be confused with the aqueous humor, the other fluid in the eye that is found between the cornea and lens.

Structure

The vitreous humor is a transparent, colorless, gelatinous mass that fills the space in the eye between the lens and the retina. It is surrounded by a layer of collagen called the vitreous membrane (or hyaloid membrane or vitreous cortex) separating it from the rest of the eye. It makes up four-fifths of the volume of the eyeball.The vitreous humour is fluid-like near the centre, and gel-like near the edges.

Learn more about vitreous humor

https://brainly.com/question/14266481

#SPJ2

07. 1
Explain why the light refracts as it passes from air into glass. GCSE PHYSICS HIGHER​

Answers

Answer:

Light is faster in air than in glass so the speed of light decreases when it passes through glass.

A measure of an object's is a measure of the object's inertia.​

Answers

Answer: Mass is the quantity of matter in an object. More specifically, mass is a measure of the inertia, or “laziness,” that an object exhibits in response to any effort made to start it, stop it, or otherwise change its state of motion. Weight is the force of gravity on an object.

4) Explain which electric charges attract and which electric charges repel (push away)

Answers

Explanation:

According to the fundamental law of electrostatics, like charges which are ( only positive or only negative charges) repel while unlike charges which are ( positive and negative charges ) attract each other.

that is: ( +++++ ++++++) they repel

while ( +++++++ ———) they attract

A proton is 0.9 meters away from a 1.4 C charge. What is the magnitude of the electric force between the proton and the charge

Answers

Answer:

F = 2.49 x 10⁻⁹ N

Explanation:

The electrostatic force between two charged bodies is given by Colomb's Law:

[tex]F = \frac{kq_1q_2}{r^2}\\[/tex]

where,

F = Electrostatic Force = ?

k = colomb's constant = 9 x 10⁹ N.m²/C²

q₁ = charge on proton = 1.6 x 10⁻¹⁹ C

q₂ = second charge = 1.4 C

r = distace between charges = 0.9 m

Therefore,

[tex]F = \frac{(9\ x\ 10^9\ N.m^2/C^2)(1.6\ x\ 10^{-19}\ C)(1.4\ C)}{(0.9\ m)^2}[/tex]

F = 2.49 x 10⁻⁹ N

31.5N

I have confirmed it is the right answer.

What is the temperature increase of 4.0 kg of water when it is heated by an 8.0 ^102 W immersion heater for exactly 10.0 min? (cp = 4186 J/kg·°C)

Answers

Answer:

ΔT = 28.667°C is the answer.

Explanation:

Given,

Mass of water = 4.0 kg

Water is heated by = 8 × 10² W = 800 W

Time = 10 min = 10 × 60 = 600 s

Now,

using the equation of specific heat,

Q = mcΔT

where c is the specific heat capacity of water = 4186 J/kg°C

Q = Pt

Substituting,

Pt = mcΔT

800 × 600 = 4 × 4186 × ΔT

480000 = 16744 × ΔT

ΔT = 28.667

∴Temperature increased, ΔT = 28.667°C

An object on the moon feels lighter than the same object on earth. which statement explains this phenomenon?

A. The moon has less mass than earth.

B. The object has a greater gravitational attraction to the moon.

C. The object has less mass on the moon then on earth.

D. The moon is in orbit around earth.

Answers

Answer:

B

Explanation:

cause

Answer: A

Explanation:

The moon has less mass than Earth.

Just took the test.

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