A cliff diver jumps off a 57m cliff and lands in the water 4.3 seconds later, a distance of 2.15m from the cliffs edge. What was the magnitude and direction of his starting velocity

Answers

Answer 1

The cliff diver jumps off with a velocity of 7.85m/s at an angle of 86° with respect to the ground.

The height of the cliff = 57m

The horizontal distance from the cliff = 2.15m

The time is taken = 4.3s

The acceleration due to gravity g = 9.81m/s²

Consider the vertical y-axis

d = 57mWe know the equation

                    d = ut +1/2gt²

                   57 = u (4.3) + 1/2 (9.81) (4.3)²

                   57 = 4.3u + 90.69

                    u = -7.836m/s

The y component of initial velocity is in the upwards direction

Consider the horizontal x-axis

d = 2.15 mWe know the equation, in case of no acceleration

                    d = ut

                    2.15 = u (4.3)

                    u = 0.5 m/s

The net velocity is the square root of the summation of the squares of the x and y components of velocity

Net velocity = 7.85m/s

For the direction, tan θ = y/x = 15.67

θ= 86°

So the cliff diver jumps off with a velocity of 7.85m/s at an angle of 86° with respect to the ground.

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Related Questions

Eclipses and Moon Phases Activity Student sample of a modeled eclipse. This lesson highlighted eclipses and lunar phases. If you had to teach another person about the difference between the two events, how would you explain it

Answers

An eclipse is an event in which the sun or moon is blocked from view due to the presence of another celestial body, whereas lunar phases are caused by the reflection of the sunlight.

What is an eclipse?

An eclipse is an astronomical phenomenon where one celestial body (e.g., sun, moon) cannot be observed because another is interposed between the Earth and the first one.

Eclipses can be divided into moon eclipses (we cannot see the moon) and sun eclipses (we cannot see the sun).

On the other hand, moon phases occur due to how sunlight reflects the near side of the Moon.  

Moon phases can be divided into:

New MoonFirst QuarterThird QuarterFull Moon

In conclusion, an eclipse is an event in which the sun or moon is blocked from view due to the presence of another celestial body, whereas lunar phases are caused by the reflection of the sunlight.

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Answer: the other person explained it all

Explanation:

Many medicines started out as natural products. Aspirin was originally made from _______________

A. The bark of the willow tree
B. Poppies
C. Mold
D. The foxglove flower.

Answers

The answer will most definitely be D

Answer:

A

Explanation:

ASA was found in the bark of willow trees.

a car accelerates from rest to 80 m/s in 20 s. what is the card acceleration?

Answers

Answer:

4 m/s²

Explanation:

v = v₀ + at

80 = 0 + 20a

80 = 20a

a = 4 m/s²

A 25-kg piece of equipment can be hung by steel wires of length 1.00 m, 2.00 m, or 3.00 m. If all the wires have the same diameter, which one will stretch the greatest distance

Answers

If all the wires have the same diameter, they will all stretch by the same percent. The elasticity does not depend upon the length.

What is the distance?

Distance is a numerical representation of the distance between two locations. The distance can refer to a physical length or an estimate based on other factors in physics or common use.

|AB| is a symbol for the distance between two points A and B.

A physiological method for identifying far-off or unseen items using sound waves that the objects reflect back to the source, such as a bat. Each one will enlarge by the same percentage.

Hence, they will all stretch by the same percentage.

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What do comets and asteroids have in common?

Answers

Answer:

Asteroids and comets have a few things in common. They are both celestial bodies orbiting our Sun, and they both can have unusual orbits, sometimes straying close to Earth or the other planets. They are both “leftovers” — made from materials from the formation of our Solar System 4.5 billion years ago. But there are a few notable differences between these two objects, as well. The biggest difference between comets and asteroids, however, is what they are made of.

While asteroids consist of metals and rocky material, comets are made up of ice, dust, rocky materials and organic compounds. When comets get closer to the Sun, they lose material with each orbit because some of their ice melts and vaporizes. Asteroids typically remain solid, even when near the Sun.

Right now, the majority of asteroids reside in the asteroid belt, a region between the orbits of Mars and Jupiter which may hold millions of space rocks of varying sizes. On the other hand, the majority of comets are in the farthest reaches of our Solar System: either 1. in the Kuiper Belt — a region just outside the orbit of the dwarf planet Pluto that may have millions of icy comets (as well as many icy dwarf planets like Pluto and Eris); or 2. the Oort Cloud, a region where trillions of comets may circle the Sun at huge distances of up to 20 trillion kilometers (13 trillion miles).

Answer:

they are both leftovers materials

Explanation:

think about how the solar system is made the comets and asteroids are both rocks and remains of the solar system

light hits ocean during ​

Answers

Answer:

no way to tell since the ocean surface is moving too violently it's not possible to determine the reflected angle

Because of wave refraction, erosion along an irregular coastline is:

Answers

Because of wave refraction, erosion along an irregular coastline is greatest in headlands.

What is Refraction?

This is referred to as the bending of light as it passes from one medium to another with its speed being changed.

Refraction causes erosion along an irregular coastline to be greatest in headlands which is the area of land projected out toward the sea.

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The ability for a muscle to work against a resistance for an extended period of time is.

Answers

Muscular Endurance refers to the ability for a muscle to work against a resistance for an extended period of time

Endurance :-

Perseverance is connected with the capacity to perform work over a drawn out timeframe. Youngsters, for instance, can play effectively for hours. Endurance can be impacted by a singular muscle, a muscle bunch, or the complete body. Muscle perseverance mirrors the capacity to support rehashed muscle compression and is connected with muscle strength.

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*picture choice question*

Which is a renewable
resource?

Answers

Answer:

B

Explanation:

That is solar energy and the sun will be releasing energy constantly for the rest of its life, meaning renewable

Is the solar energy

Two particles having charges q,=0.700nc and q=9.00nc are separated by a distance of 1.40m. at what point along the line connecting the two charges is the total electric field due to the two charges equal to zero?

Answers

The point along the line connecting the two charges is the total electric field due to the two charges equal to zero will be 0.3056.

What is electric field strength?

The electric field strength is defined as the ratio of electric force and charge. The field's direction is determined by the direction of the force acting on the positive charge.

The megnitude of the electric field for charge 1 is;

[tex]\rm E_1 = (9 \times 10^9 )\times \frac{0.700 \times 10^{-9}}{x^2}[/tex]

The megnitude of the electric field for charge 1 is;

[tex]\rm E_2 = 9.0 \times 10^9 \times \frac{9.00 \times 10^{-9}}{(1.80-x)^2}[/tex]

The net electric field at point p is;

[tex]\rm \frac{0.700}{x^2} = \frac{9.00}{(1.40-x)^2} \\\\( \frac{1.40-x}{x} )^2 = \frac{9.00}{0.700} \\\\\ \frac{1.40-x}{x}=3.58 \\\\ \frac{140}{x} -1=3.58\\\\\ \frac{140}{x}=3.58+1\\\\ x=0.3056 \ m[/tex]

Hence, the point along the line connecting the two charges is the total electric field due to the two charges equal to zero will be 0.3056.

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7.Name three values you could measure as scalars and three values you could measure as
vectors.

Answers

scalars: distance, speed, time

vectors: displacement, velocity, acceleration

a girl swims along the length of 80m in swimming pool and comes back in 1.5sec. find her distance and displacement​

Answers

the distance is the first 80m+the second 80m she came back. So the distance is 160m. but the displacement is 0, because she came back by the direction she went.

in permanent waving, the size of the curl is determined by the

Answers

In permanent waving, the size of the curl should be determined based on the size of the rod.

What is permanent waving?

Permanent waving can be defined as a hairstyle that is typically made by setting a person's hair in waves or curls while treating it with chemical solutions such as thio, so as to make it last for a long period of time.

In permanent waving, the size of the curl should be determined based on the size of the rod that would be used for the hairstyle.

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A downward force of magnitude 5 n is exerted on the book by the force of.

Answers

Answer:

Gravity    (perhaps)

Explanation:

Without a further description or a diagram, I would guess the downward force would be gravity.

Gravity exerts a downward pull on the book with a magnitude of 5 n. the correct answer would be option (A) gravity.

What is the force by gravity?

The attraction that the earth, moon, or other immensely big object has on another object is referred to as gravity. By definition, this is the object's weight. Gravity affects all items on Earth and is directed "downward" towards the earth's center. On Earth, gravity gives physical objects weight, while the Moon's gravity causes sublunar tides in the seas (the corresponding antipodal tide is caused by the inertia of the Earth and Moon orbiting one another).

Gravity also plays a significant role in biology, such as regulating plant development through gravitropism and controlling fluid circulation in multicellular animals.

According to research into the consequences of weightlessness, gravity may have a role in immune system function and cell differentiation inside the human body.

Thus, Gravity exerts a downward pull on the book with a magnitude of 5 n.

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The complete question would be as:

A downward force of magnitude 5 n is exerted on the book by the force of downward force of magnitude 5 n is exerted on the book by the force of the table.

A. gravity

B. inertia

C. momentum

D. acceleration

where does the potential energy of rocket goes when it escape from the influence of the earth

Answers

The potential energy of a rocket increases when its escapes from the influence of the earth. It increases when it escapes the earth's boundary.

What is escape speed?

Escape velocity or escape speed is the minimum speed required for a free, non-propelled object to escape from the gravitational pull of the main body and reach an infinite distance from it in celestial physics.

It is commonly expressed as an ideal speed, neglecting atmospheric friction.

If a spacecraft is launched from the moon at the escape speed of the earth then the value of escape speed will be the difference in both the velocities.

An object's height above the zero position directly relates to its gravitational potential energy.

The kinetic energy of motion is converted into gravitational potential power as your rocket ascends.

The rocket possesses gravitational potential energy as it climbs because it is becoming farther away from the Earth's surface, much as a positive and negative charge moving apart.

The potential energy of a rocket increases when its escapes from the influence of the earth. It increases when it escapes the earth's boundary.

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In a Laundromat, during the spin-dry cycle of a washer, the rotating tub goes from rest to its maximum angular speed of 8.70 rev/s in 6.80 s. You lift the lid of the washer the instant the angular speed reaches the maximum value, and notice that the tub decelerates and comes to a stop in 19.0 s. Assuming that the tub rotates with constant angular acceleration while it is starting and stopping, determine the total number of revolutions undergone by the tub during this entire time interval.

Answers

Since we assume the accelerations are constant, the instantaneous acceleration is the same as the average acceleration, so in the first 6.80 seconds we have

[tex]\alpha_1 = \alpha_{\rm ave} = \dfrac{\Delta \omega}{\Delta t} = \dfrac{8.70\frac{\rm rev}{\rm s}}{6.80\,\rm s} \approx 1.28 \dfrac{\rm rev}{\mathrm s^2}[/tex]

In this time, the tub undergoes an angular displacement of

[tex]\theta_1 = \dfrac12 \alpha_1 (6.80\,\mathrm s)^2 \approx 29.6\,\mathrm{rev}[/tex]

In the next 19.0 seconds the tub has acceleration

[tex]\alpha_2 = \dfrac{-8.70\frac{\rm rev}{\rm s}}{19.0\,\rm s} \approx -0.458 \dfrac{\rm rev}{\mathrm s^2}[/tex]

and in this time, the tube undergoes an additional displacement of

[tex]\theta_2 = \left(8.70\dfrac{\rm m}{\rm s}\right)(19.0\,\mathrm s) + \dfrac12 \alpha_2 (19.0\,\mathrm s)^2 \approx 82.7\,\mathrm{rev}[/tex]

So the tub completes [tex]\theta_1+\theta_2 \approx \boxed{112\,\mathrm{rev}}[/tex].

An object of mass 5 kilograms is moving across a surface in a straight line with a speed of 3.5 meters/second. what amount of force would be
required to keep the object in motion if you ignore the surface friction?
a 0 newtons
b 175 newtons
c 35 newtons
d 5 newtons

Answers

Taking into account the Newton's second law, the amount of force required to keep the object in motion if you ignore the surface friction is 0 N.

Newton's second law

In first place, acceleration in a body occurs when a force acts on a body. There are two factors that influence the acceleration of an object: the net force acting on it and the mass of the body.

Newton's second law states that this force will change the speed of an object because the speed and / or direction will change. These changes in velocity are called acceleration.

So, Newton's second law defines the relationship between force and acceleration mathematically. This law says that the acceleration of an object is directly proportional to the sum of all the forces acting on it and inversely proportional to the mass of the object.

Mathematically, Newton's second law is expressed as:

F= m×a

where:

F = Force [N]m = Mass [kg]a = Acceleration [m/s²]

Force required to keep the object in motion

In this case, you know:

F= ?m= 5 kga= 0 [tex]\frac{m}{s^{2} }[/tex]. Acceleration is a magnitude that measures the change in velocity in a given period. That is to say that if the object changes speed, that change is measured with acceleration. So if an object is moving at a constant speed, there is no change in speed and its acceleration is zero.

Replacing in Newton's second law:

F= 5 kg× 0 m/s²

Solving:

F= 0 N

Finally, the amount of force required to keep the object in motion if you ignore the surface friction is 0 N.

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Create a ray diagram for eyeglasses that contain a diverging lens. Assume you are looking at a 2 cm tall object that is 4 cm from the lens. The focal length is 3 cm.

Answers

The ray diagram for the given object consists of 2 cm height of object, 4 cm object distance and 3 cm focal length.

Image formed by a diverging lens

Diverging lens is called a concave lens. The working of the lens is dependent on the refraction of the light rays as they pass through the lens.

Image formed by a diverging lens is always virtual, erect and diminished; smaller than the object and is located on the same side of the lens as the object.

The ray diagram for the given object is presented in the image in the diagram.

Object height = 2 cmFocal length = 3 cmObject distance = 4 cm

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A 500. gram cart with a speed of 0.360 m/s hits a barrier and bounces back with a return velocity of -0.240 m/s. what is its change in momentum?
a. 60.0 kg*m/s
b. 0.300 kg*m/s
c. -0.300 kg*m/s
d. .0600 kg*m/s
e. -.0600 kg*m/s

Answers

The change in the momentum of the cart,given the data is 0.06 Kgm/s (Option D)

What is momentum?

Momentum is defined as the product of mass and velocity. It is expressed as

Momentum = mass × velocity

Change in momentum = mass (final velocity - initial velocity)

How top determine the change in the momentum

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

Mass (m) = 500 g = 500 / 1000 = 0.5 KgInitial velocity (u) = 0.360 m/sFinal velocity (v) = -0.240 m/s.Change in momentum =?

Change in momentum = m(v + u) (renounce)

Change in momentum = 0.5 (-0.24 + 0.36)

Change in momentum = 0.5 × 0.12

Change in momentum = 0.06 Kgm/s

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Home heating systems usually work in the following way: When the furnace warms a house above the set temperature of the thermostat, the thermostat is triggered and shuts off the furnace. When the temperature in the house drops below the set temperature, the furnace comes back on. True or false: Home heating systems work through negative feedback.

Answers

Home heating systems work through negative feedback by regulating the temperature through thermostat.

How home heating systems work through negative feedback?

In thermostat, when the temperature of the room environment increases by the negative feedback system the furnace gets turn off, allowing the room to get to its normal temperature and when the temperature lower down it turns on again and maintain the temperature in equilibrium state.

So we can conclude that home heating systems work through negative feedback by regulating the temperature through thermostat.

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A rocket weighing 300,000 N is taking off from Earth with a total thrust of
460,000 N at an angle of 20 degrees, as shown in the image below. What is
the approximate vertical component of the net force that is moving the rocket
away from Earth?

Answers

Explanation:

vertical force = 460,000 * sin(70) - 300,000

Fv = 187,717.75N

Which statement is TRUE about forces?
A. Forces do not have a specific direction.
B. Forces do not have specific strength.
C. Forces always act in pairs, a push and a pull.

Answers

Answer:

Forces do not have a specific direction.

Gyroscopic wander can be divided in to two categories, one is DRIFT, what is the other?

Answers

Gyroscopic wander can be divided into two categories and these are:

DriftTopple

What is gyroscopic wander?

Gyroscopic wander can be defined as a movement of the spin axis (axis of rotation) away from a specific fixed direction.

Based on scientific information and records, there are two main types of gyroscopic wander and these include the following:

DriftTopple

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help!! this makes no sense to me

Answers

3 meters i’m pretty sure

Answer:

3 meters

Explanation:

Velocity = displacement/time

Displacement=velocity×time

As, time from 7 to 8 is 1 sec. And velocity increases from 0 to 3 m/s

So, Displacement = 3×1

=3m

Please give me brainlist.

What type of facility has a frequency of 108.15 MHz?

Answers

ILS is a type of facility that has a frequency of 108.15 Megahertz.

What is an ILS?

ILS is an acronym for instrument landing system and it can be defined as a precision radio navigation system that is designed and developed to provide an aircraft (airplane) with short-range guidance, so as to enable it approach a runway during bad weather or at night.

Generally, ILS uses two main directional radio signals and these include:

The localizer: it uses a frequency of 108 to 112 MHz for horizontal guidance.The glideslope: it uses a frequency of 329.15 to 335 MHz for vertical guidance.

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A point located on the second hand of a large clock has a radial acceleration of 0. 1cm/s2. How far is the point from the axis of rotation of the second hand?

Answers

The distance of the point from the axis of rotation of the second hand is 9.1 m.

Radius of the clock

The point from the axis of rotation of the second hand is the radius of the rotation of the clock.

a = v²/r

v² = ar

v = √ar

V = 2πr/T

√ar = 2πr/T

ar = 4π²r²/T²

a = 4π²r/T²

r = aT²/4π²

r = (0.1 x 60²)/(4π²)

r = 9.1 m

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What motion is expected of the scapula during arm elevation?

Answers

During arm elevation, the motion of the scapula moves is an upward rotation motion.

What is the scapula?

The scapula otherwise known as the shoulder blade is a bone found in the upper limb and forms part of the shoulder and the back.

They are triangular in shape.

The scapula enables movement of the shoulder and the arm in about six ways.

During arm elevation, the motion of the scapula moves is an upward rotation motion: protraction, retraction, elevation, depression, upward rotation, and downward rotation.

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Question 8 of 10
Calculate the electric potential energy in a capacitor that stores 1.0 x 10-10 C
of charge at 100.0 V. Use PE =
2

Answers

The electric potential energy in a capacitor will be 5 × 10 ⁻⁹ J.

What is a capacitor?

A capacitor is a device that can store electrical energy. It is a two-conductor configuration separated by an insulating medium that carries charges of equal size and opposite sign.

An electric insulator or vacuum, such as glass, paper, air, or a semiconductor termed a dielectric, can be used as the non-conductive zone.

The  electric potential energy in a capacitor is found as;

[tex]\rm E = \frac{1}{2} QV[/tex]

[tex]\rm E = \frac{1}{2}\times 1.0 \times 10^{-10} \ C \times 100 \ V \\\\ E= 5 \times 10^{-9} \ J[/tex]

Hence the electric potential energy in a capacitor will be 5 × 10 ⁻⁹ J.

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The farther you bring charged objects​

Answers

Answer:

Weaker, stronger

Explanation:

hope this helped!

Answer:

[tex]\fbox {weaker, stronger}[/tex]

Explanation:

The farther you bring charged objects from each other, the weaker the electrical force between them, and the bigger the charges on the objects, the stronger the electrical force between them.

Proving

Here we need the formula for Coulomb's Law, which is :

[tex]\boxed {F = \frac{1}{4\pi\epsilon_{0}}\times\frac{q_{1}q_{2}}{r^{2}}}[/tex]

As we can see, when the distance increases, the overall force will decrease as they are inversely proportional.

Similarly, as the product of charges is directly proportional to the electrical force produced, as the charges increase, the force increases.

5. In the image below, the focus lines are shown. What can be done to bring the apple into focus?
A. Make the lens rounder.
B. Make the lens flatter.
C. Move the apple farther from the eye.
D. Nothing should be done because the apple is already in focus.

Answers

In the image below, the focus lines are shown. The step can be done to bring the apple into focus is make the lens rounder. The correct option is A.

What is lens?

The lens is in spherical shape may be diverging or converging.

As light enters the eye, it is focused on the retina. Changing the pupil diameter, regulates the amount of light entering the eye. Changing lens shape will focus the light.

The changes in lens shape needed to maintain focus as the object distance changes.

Thus, the correct option is A.

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During each session in the study, vibration pads were placed on the pain site indicated by the patient. Pain reduction was measured through self-reporting after each session.Another study is being designed to examine whether low-intensity vibration therapy also reduces pain in patients suffering from ruptured disks in the lumbar region of the back. Three hundred male patients are subjects in the new study.Part A: What is an appropriate design for the new study? Include treatments used, method of treatment assignment, and variables that should be measured. (4 points)Part B: If the study consisted of 150 male and 150 female patients instead of 300 male patients, would you change the study design? If so, how would you modify your design ? If not, why not? (4 points)Part C: Could your design be double-blind? Explain. (2 points) pls help whats the answer? Understand equivalent ratios in the real worldAni thinks the perfect milkshake has 5 scoops of ice cream for every 3 spoonfuls of caramel. Freeze Zone makes"batches of milkshakes with 10 scoops of ice cream and 7 spoonfuls of caramel.What will Ani think about the amount of caramel in Freeze Zone's milkshakes?Choose 1 answer:Freeze Zone's milkshakes have too much caramel.Freeze Zone's milkshakes have too little caramel.Freeze Zone's milkshakes are just right. Use the given sample data to find Q3.49 52 52 52 74 67 55 55 If a point on a topographic map is located between the 60 and 80 meter contour lines, what is the range of possible elevations from lowest to highest? (Remember to includeunits for full credit) Select the correct answer from each drop-down menu.Complete the paragraph describing the purpose and benefits of informational interviews by selecting the missing words.1When you set up an informational interview, you need to think about your objectives. For one thing, you want to gainfrom the person that you're interviewing to help you learn about the career field. The questions that youchoose to ask will help you learn the information that interests you most. You can alsowhich will help you have a better chance of receiving a job offer in the future. Youcan follow up with this individual and learn about positions that become available. I need help with my geometry proof homework from 2-3 What is the slope of the line that passes through the points (6, 2) and (4, 10)? 4 14 14 4 Hongwu was so afraid of someone taking his power that he Hongwu was so afraid of someone taking his power that he_____.A. Had no advisers or prime ministers B. Banned foreigners from China C. had all of the upperclass individuals killed On Monday, a packaging company put together 450x packages of 45 cashews. On Tuesday, the company put together 175 less packages with 15x more cashews in each bag. Which of the following equations could be used to determine how many cashews were packaged on Tuesday?