The general kinematic equations of motion for vertical displacement can also be simplified significantly. Write the simplified
equation for y in this case. Explain how you have been able to simplify it from this general displacement equation:

Answers

Answer 1

Answer:

Δy = v₀t + (1/2)gt²

where g = 9.81 m/s if the body is moving downwards and g = -9.81 m/s if the body is moving upwards

Explanation:

The general kinematic equation for horizontal displacement is gives as:

Δx = v₀t + (1/2)at²

Where

Δx = change in the x direction

v₀ = initial velocity

t = time

a = acceleration

If the body is vertically instead of horizontally, Δx is changed to Δy

Δy = v₀t + (1/2)at²

For a vertical moving body, the acceleration it experiences is the gravitational accerelation of the earth 'g'

So the equation becomes:

Δy = v₀t + (1/2)gt²

where g = 9.81 m/s if the body is moving downwards and g = -9.81 m/s if the body is moving upwards

Answer 2

The general kinematic equations of motion for vertical displacement is written as [tex]h = v_0_yt - \frac{1}{2} gt^2[/tex].

The general kinematic equations of motion for vertical displacement is written as follows;

[tex]h = v_0_yt - \frac{1}{2} gt^2[/tex]

where;

h is the vertical displacement of the object[tex]v_0_y[/tex] is the initial vertical velocity of the objectg is the acceleration due to gravityt is the time of motion of the object

Thus, the general kinematic equations of motion for vertical displacement is written as [tex]h = v_0_yt - \frac{1}{2} gt^2[/tex].

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Related Questions

what are three reasons we should be concerned about the current rapid extinction rate

Answers

Answer:

1. Possibility of all life being wiped out

2. Ecosystem being imbalanced.

3. Loss of one species triggers the lost of others as the food chain will collapse.

Answer:

a

Explanation:

Place each description in the correct category.
represented by symbols
Elements
Compounds
made of one type of atom
represented by formulas
cannot be broken down
can be chemically broken down
made of two or more types of atoms

Answers

Answer:

answer in photo:

Explanation:

Elements:

They are represented by symbols.They are made of one type of atom.They cannot be broken down.

Compounds:

They are represented by formulas.They can be chemically broken down. They are made of two or more types of atoms.

A chemical element can be defined as a pure substance that is represented by a symbol and it comprises one type of atom that has the same atomic number (number of protons) in its nuclei.

Basically, a chemical element is a pure substance that can't be broken down, decomposed or transformed into simpler substances by chemical or physical means.

In Chemistry, some examples of a chemical element include the following:

Carbon (C). Oxygen (O). Hydrogen (H).

A chemical compound can be defined as a substance that is represented by a formula and it contains two or more types of atoms, which can be chemically broken down.

Some examples of a chemical compound are:

Carbon dioxide ([tex]C0_2[/tex]).Hydrogen sulfide ([tex]H_2S[/tex]).Sodium chloride (NaCl).

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beats are the resultant of

Answers

beats are the resultant of sound interference

Why does the pattern of colors repeat in a thin soap film? Please use 2 content related sentences. (ref: p.522-530)

Answers

Answer: The pattern of colors that repeat in a thin soap film is a result of the interference of light waves reflecting off the front and back surfaces of the film. The specific colors seen are determined by the thickness of the film, with different wavelengths of light being reflected or refracted at different angles, creating the characteristic rainbow pattern.

Generally, branch- circuit conductors shall have an ampacity sufficient for the loads served and shall be or large? A. 22AWG B. 4 AWG C. 24 AWG D. 14 AWG

Answers

Answer:

D. 14 AWG

Explanation:

Ampacity is defined as the maximum current carry by a conductor without increasing the temperature rating.

All branch circuit conductors shall have an ampacity of at least 14 AWG.

That is why 14 AWG electric wire is a stranded copper wire widely used in circuits.

Hence, the correct option is D. 14 AWG.

An airplane with a total mass of 850 kg has an engine malfunction, causing it
to provide a constant horizontal force of 4000 N. The pilot, who has a mass
of 80 kg, decides to eject from the airplane. With the reduced total mass,
what is the new approximate acceleration of the airplane?
A. 3.1 m/s2
B. 5.2 m/s2
C. 2.8 m/s2
D. 3.7 m/s2

Answers

Answer:

B

Explanation:

If  the pilot, who has a mass of 80 kg, decides to eject from the airplane. With the reduced total mass,then the new approximate acceleration of the airplane will be 5.2 m/s²

What is Newton's second law?

Newton's Second Law states that The resultant force acting on an object is proportional to the rate of change of momentum.

The mathematical expression for Newton's second law is as follows

F = m*a

where F represents the force applied

m is the mass of the object

a is the acceleration of the object

The initial acceleration of an airplane with a total mass of 850 kg has an engine malfunction, causing it to provide a constant horizontal force of 4000 N.

F =m*a

4000 N = 850×a

a= 4.7 m/s²

An acceleration of airplane when the pilot, who has a mass of 80 kg, decides to eject from the airplane. With the reduced total mass,

the horizontal force is the same 4000 N, now the total reduced mass the airplane is 770 kg

F =m*a

4000 =770×a

a = 5.2 m/s²

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Calculate the orbital radii for the first six principal quantum numbers

Answers

Answer:

Explanation:

Formula for calculating radius is

r=.529A x n^2 where A=10^-10m

So put n=1,2,3,4............

How many ohms of resistance must be present in a circuit that has 240 volts and a current of 15 amps?
ОА.
3,600 ohms
О В.
16 ohms
230 ohms
D. 0.063 ohms

Answers

Answer:

16 ohms

Explanation:

V= I ⋅ R

where,  V  is the net potential difference in the circuit,  I  is the current in the circuit and  R  is the net resistance of the circuit.  

In this case,  V = 240  volts,  I = 15  amperes.

240 = 15 ⋅ R  

⇒ R = 240/ 15 = 16  ohms

Answer:

b-16ohms

Explanation:

If you are using online learning/PLATO the answer is proven to be B-16 ohms

A person on a merry-go-round is constantly accelerating away from the center?
true or false ​

Answers

That statement is false. It's exactly the opposite direction.

In circular motion, the "centripetal" force ... and therefore the centripetal acceleration ... points TOWARD the center.

Answer:

False

Explanation:

Took The Quiz

What is the energy conversion in a hair dryer?

A. Heat energy to electric and mechanical energy
B. Potential energy to electric and kinetic energy
C. Electric energy to heat and kinetic energy
D. Light energy to mechanical and electric energy

Answers

Answer:

C.Electrical energy to heat and kinetic energy

What would happen to a satellite if its orbit speed doubled?

Answers

Answer:

The radius of orbit will decrease by 1/4, the satellite will come closer to Earth

Explanation:

The orbital speed of any body revolving in an orbit around another boyd is given by:

v (orbital) = √(G · M(central body)/R)

Where G is the gravitation constant.

If the body, e.g satellite is moving around the Earth, then the mass of central body M will also be a constant. Therefore, the only thing on which the orbital velocity will depend on will be Radius of the orbit R.

v ∝ 1/√R

√R ∝ 1/v

Take square:

R ∝ 1/v²

If the velocity of satellite will doubles, then:

R' ∝ 1/ (2v)²

R' ∝ 1/4v²

R' ∝ (1/4)(1/v²)

R' ∝ (1/4)(R)

The radius of orbit will decrease by 1/4, the satellite will come closer to Earth

"We the people of the United States, in order to form a more perfect union, establish justice, insure domestic tranquility, provide for the common defense, promote the general welfare, and secure the blessings of liberty to ourselves and our posterity, do ordain and establish this Constitution for the United States of America." - The United States Constitution According to the Preamble, which action would be allowed by The Constitution?"We the people of the United States, in order to form a more perfect union, establish justice, insure domestic tranquility, provide for the common defense, promote the general welfare, and secure the blessings of liberty to ourselves and our posterity, do ordain and establish this Constitution for the United States of America." - The United States Constitution According to the Preamble, which action would be allowed by The Constitution? A) helping businesses pay their workers less B) giving Congress the power to create courts C) granting government the power to seize people's property D) securing the rights of the wealthy over the rights of the poor

Answers

The correct answer is B) Giving Congress the power to create courts

Explanation:

One of the principles the Constitution mentions in the preamble is Justice, this is mentioned in "We the people of the United States, in order to form a more perfect union, establish justice..." According to this, a priority is to make the country have justice, which is possible through courts, laws, among others. In this context, the action that would be allowed is "Giving Congress the power to create courts" because this might ensure the justice principle is applied in the U.S.

A girl runs up the down escalator in the mall. If the escalator is moving with a
velocity of 24 m/min and the girl is running with a velocity of 30 m/min, how far up the escalator can she go in 4 minutes?

A. 10 m
B. 30 m
C. 48 m
D. 24 m

Answers

Answer:

D. 24 m

Explanation:

Running up - velocity     + 30 m/min

Escalator 's moving down  velocity   - 24 m/min

Sum velocity (30 - 24) = 6 m/min

6 m/min * 4 min = 24 m

a toy airplane is flying at a speed of 8 m/s with an acceleration of 0.9 m/s^2. How fast is it flying after 2 seconds? A)9.8 m/s B)8.1 m/s C)5.2 m/s D)3.6 m/s

Answers

Answer:

A) 9.8m/s this answer is correct.

The acceleration is increasing by 0.9m/s^2 .

so, in each second it will increase by 0.9m/s^2.

Therefore, in 2 second

0.9 * 2

= 1.8m/s

Now,

8 + 1.8

= 9.8m/s

Answer is A cause we know v=u+at so v=8+0.9 into 2 this is equal to 8+1.8=9.8m/s
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