A quarter is flipped from a height of 1.45 m above the ground. How much time will it take to reach the ground if the person flipping the coin gave it a velocity of 10.32 m/s? Please answer in seconds and to the third decimal place.

Answers

Answer 1

It will take the quarter 0.151 seconds to reach the ground.

Given the following data:

Height = 1.45 metersInitial velocity = 10.32 m/s

We know that acceleration due to gravity (a) for an object is equal to 9.8 meter per seconds square.

To find how much time it will take the quarter to reach the ground, we  would use the second equation of motion.

Mathematically, the second equation of motion is given by the formula;

[tex]S = ut + \frac{1}{2} at^2[/tex]

Where:

S is the height or distance covered. u is the initial velocity. a is the acceleration. t is the time measured in seconds.

Substituting the values into the formula, we have;

[tex]1.45 = 10.32(t) + \frac{1}{2} (9.8)t^2\\\\1.45 = 10.32t + 4.9t^2\\\\4.9t^2 + 10.32t - 1.45 = 0[/tex]

The standard form of a quadratic equation is:

[tex]ax^2 + bx + c = 0[/tex]

a = 4.9, b = 10.32 and c = 1.45

We would solve the above quadratic equation by using the quadratic equation formula;

[tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}[/tex]

Substituting the values, we have;

[tex]t = \frac{-10.32\; \pm \;\sqrt{10.32^2\; - \;4(4.9)(1.45)}}{2(4.9)}\\\\t = \frac{-10.32\; \pm \;\sqrt{106.5024\; - \;28.42}}{9.8}\\\\t = \frac{-10.32\; \pm \;\sqrt{78.0824}}{9.8}\\\\t = \frac{-10.32\; \pm \;8.84}{9.8}\\\\t = \frac{-10.32\; + \;8.84}{9.8}\\\\t = \frac{1.48}{9.8}[/tex]

Time, t = 0.151 seconds.

Therefore, it will take the quarter 0.151 seconds to reach the ground.

Read more: https://brainly.com/question/8898885


Related Questions

please help me i’m stuck on this question

Answers

C is the correct answer if you need an explanation please let me know if not give me a 5⭐️ rating if you can

A worker pushes a box across the floor to the right at a constant speed with a force of 25N. What can you conclude about the box?
A. An unbalanced force of 25N is acting on the box.
B. The net horizontal force acting on the box is 50N.
C. Friction between the box and the floor is 25N to the left.
D. Friction between the box and the floor is 25N to the right.

Answers

Answer:

C. Friction between the box and the floor is 25N to the left

Explanation:

Answer:

Since the forces exerted on the box are equal and opposite in direction, the net force will be 0, so the box will not move.

Explanation:

UwU

someone help me please

Answers

Dark matter pulls the moon around earth in a circular pattern

Answer:

The moon is being pulled to the earth by gravity, so the net force makes a circular pattern.

Explanation:

The force of gravity is a force that pulls objects toward the centre of the earth. The acceleration due to gravity of the moon is about 1.6 metre per second square which is comparatively smaller than the earth's 10metre per second. Therefore, the moon isn't completely pulled to the centre of the earth, but orbits around the earth

Please answer this
knvijhbuehguqehguhgnghjnguhsgi0jrgij

Answers

Answer: The correct answer is c

Explanation: When heat radiates it is showing moisture and mixed ways they combine

Answer:

the answer is c trust me bruv

Explanation: im smart

why does the light of black body radiation change

Answers

The wavelength at which the radiation is strongest is given by Wien's displacement law, and the overall power emitted per unit area is given by the Stefan–Boltzmann law. So, as temperature increases, the glow color changes from red to yellow to white to blue.

The wavelength at which the radiation is strongest is given by Wien's displacement law, and the overall power emitted per unit area is given by the Stefan–Boltzmann law. So, as temperature increases, the glow color changes from red to yellow to white to blue

Which object is in static equilibrium?

Answers

Answer:

I believe it's C. a book that has no net force acting on it and is sitting on a table.

which force is responsible for electric gong ?

Answers

MAGNETIC FORCE...

Have a beautiful and joyful day ahead.

Answer:

Magnetic force

Explanation:

have a nice day

I have the answer, but I don’t know how to get the answer. Can anyone explain how to get it?

Answers

You divide the distance by the speed to get the time

a) The mass of a box is 250 kg. The lower surface area is 150 cm². What is the pressure exerted by the box on the surface? ​

Answers

Mass=250kg

[tex]\\ \sf\longmapsto Force=ma=250(10)=2500N[/tex]

Area=150cm^2=0.015m^2

[tex]\\ \sf\longmapsto Pressure=\dfrac{Force}{Area}[/tex]

[tex]\\ \sf\longmapsto Pressure=\dfrac{2500}{0.015}=1.6666.6Pa[/tex]

a marble rolls horizontally off a table that is 0.8m tall. if the marble lands 0.6m from the base of the table, what is the initial velocity of the marble?

Answers

The initial velocity of the marble from the given position is  1.49 m/s.

The given parameters;

height of the table, h = 0.8 mhorizontal distance traveled by the train, X = 0.6 m

The time of motion of the marble from the given height is calculated as;

[tex]h = v_yt + \frac{1}{2} gt^2\\\\h = 0 + \frac{1}{2} gt^2\\\\h = \frac{1}{2} gt^2\\\\t = \sqrt{\frac{2h}{g} } \\\\t = \sqrt{\frac{2\times 0.8}{9.8} }\\\\t = 0.404 \ s[/tex]

The initial horizontal velocity of the marble is calculated as follows;

[tex]X = v_0_xt\\\\v_0_x = \frac{X}{t} \\\\v_0_x = \frac{0.6}{0.404} \\\\v_0_x = 1.49 \ m/s[/tex]

Thus, the initial velocity of the marble from the given position is  1.49 m/s.

Learn more here:https://brainly.com/question/21180604

Which situations might cause two observers (A and B) to measure different frequencies for the same vibrating object? Select the two correct answers.
A. Observer A is stationary and Observer B is moving.
B. Observer A and Observer B are moving at different speeds relative to each other.
C. Observer A and Observer B are stationary but at different distances from the vibrating object.
D. Observer A and Observer B are both stationary and at the same distance from the object.

Answers

Answer: The answer is (B) Observer A and Observer B are moving at different speeds relative to each other. And (A) Observer A is stationary and Observer B is moving

Explanation:

This question involves the concept of doppler's effect and its effect on the frequency of sound.

The situations that might cause the two observers to measure different frequencies for the same vibrating object are:

"A. Observer A is stationary and Observer B is moving.

B. Observer A and Observer B are moving at different speeds relative to each other."

Doppler's effect states that the apparent frequency of a source of sound is different than its original frequency. It further explains that whenever an observer and the source are in relative motion with each other, either the source or the observer or both are moving, then the frequency of sound measured by the observer will be different than the actual frequency. This changed frequency is called the apparent frequency and it depends upon the direction and magnitude of the relative motion of the observer and the source.

Hence, the measured frequency can be different for the two observers if they are in relative motion with the source, with different speeds, or in the case when one observer is stationary while the other is in motion.

Therefore, the situations that might cause the two observers to measure different frequencies for the same vibrating object are:

A. Observer A is stationary and Observer B is moving.

B. Observer A and Observer B are moving at different speeds relative to each other.

Learn more about Doppler's Effect here:

https://brainly.com/question/1330077?referrer=searchResults

The attached picture illustrates the formulae of Doppler's Effect.

Where on the physical activity pyramid do lifestyle activities belong?

Answers

Answer:

The physical activity pyramid helps in organizing the person's daily life routine. It separated the exercises into different levels and helps the person to inherit a fit and healthy life style.

5. Fill in the blanks with either "More," "Less," or "The Same."
a) If an object has more mass than another object, it will accelerate_____
b) In order to accelerate an object more, one would need to apply_____ force.
c) If an equal force is applied to two different objects, the less massive object will accelerate____

Answers

Answer:

Explanation:

5. Fill in the blanks with either "More," "Less," or "The Same."

a) If an object has more mass than another object, it will accelerate_less____

b) In order to accelerate an object more, one would need to apply_more____ force.

c) If an equal force is applied to two different objects, the less massive object will accelerate_more___

The answer is less, more and more.

Relationship between mass and acceleration

If an object has more mass than another object, it will accelerate less. In order to accelerate an object more, one would need to apply more force. If an equal force is applied to two different objects, the less mass of an object will accelerate more

The acceleration of an object depends directly on the force acting upon the object, and inversely on the mass of the object.

Learn more about force here: https://brainly.com/question/12970081

Freud was an influential and controversial psychologist who believed that psychology should study the unconscious mind. Describe
the two books Freud published in the early 1900s. (Site 2)

Answers

Answer:

The Interpretation of Dreams": Freud noticed that dreams played an important role in his analysis of neurotic and "hysterical" patients. When he asked his patients to talk about whatever came into their minds, they often referred to their dreams, which would set off other associations and often illuminate other important connections in their past experience. It took Freud about two years to write the book, finishing it in September 1897.

some bird migrate 20000 miles if 1 mile equals 1.5 km calculate the distance there birds fly in km

Answers

20000m x 1.5km = 30000km
hope this helped :).

Rebecca enjoys taking photos. Her father suggests that she study physical science to help improve her photography. How is physical science related to photography?

Answers

Physical science because physical science has a lot to do with movement and in photography you have to take pictures of objects in movement.

what is the physical state of gold at room temperature

Answers

Answer:

solid

Explanation:

Gold is a chemical element with symbol Au and atomic number 79. Classified as a transition metal, Gold is a solid at room temperature.

Please help with number 24

Answers

Answer:

I think its false cause with a slope you have acceleration

which situation is an example of transferring heat by means of convection?

Answers

A situation that involves the transfer of heat by means of convection must involve the exchange of fluid currents such as land and sea breezes.

Heat transfer by convection is a method of heat transfer by which heat is transferred between two bodies through through currents of moving fluids or gases.

The following are examples of heat transfer by convection;

land breezes cooling the sea at nightsea breezes cooling the land during the dayboiling of watercirculation of blood, etc

Thus, a situation that involves the transfer of heat by means of convection must involve the exchange of fluid currents such as land and sea breezes.

Learn more here:https://brainly.com/question/17394233

a spacecraft that seems to be motionless in deep space is given some type of quick push. which statement describes what will happen?

Answers

An applied force applied causes a body such as the spacecraft to move. The magnitude of the force determines the change in the velocity

What will happen to the spacecraft is given by option C. from among the possible question options.

C. The spacecraft will begin to move and it will continue moving until it is stopped by an equal and opposite force

Reason:

The possible question options obtained from a similar question includes;

A. The spacecraft will move for some time then stop slowly

B. Air resistance will prevent the spacecraft from moving

C. The spacecraft will begin to move and the motion will continue until a force equal and opposite to the applied force stops it

D. The quick push will not cause the spacecraft to move, as a quick push works on Earth only

The state of the space craft = Motionless

Location of the spacecraft = Deep space

Type of force applied = Quick push

The statement that describes what will happen = Required

Solution;

Let F, represent the force applied, and let Δt be the duration of the applied force, we have;

The impulse of the force, F × Δt = m·(v₂ - v₁)

Where;

m = The mass of the spacecraft

v₁ = The initial velocity of the spacecraft = 0

v₂ = Final velocity of the spacecraft

Plugging in v₁ = 0, gives;

F × Δt = m·v₂

The space craft is given a velocity, v₂, and according to Newton's First Law of Motion, it continues moving in a straight line until another force acts on it

Therefore, the correct option is option C. The spacecraft will begin to move and the motion will continue until it is stopped by an equal and opposite force

Learn more about Newton's First Law of Motion here:

https://brainly.com/question/20841616

what 3 things are produced as a result of the fusion of two atoms

Answers

Answer:

Electron, proton and neutron

Explanation:

In each and every atom they are consist of electron, proton and neutron.

PLS HELP 15 PNTS AND BRAINLSIT FOR CORRECT ASNWER PLSSSS HELP MEEE

Answers

I believe it is A. None of these contain mass

help me, please
solve this 4 kilometers = what meters and make sure to show your loops

Answers

Answer:

4 km is equal to 4000m

Explanation:

Because 1km is equal to 1000m.

find an expression for the magnitude of the horizontal force f in the figure for which m1 does not slip either up or down along the wedge. all surfaces are frictionless.

Answers

We have that the expression for the magnitude of the horizontal force F is

[tex]F=(m_1+m_2)gtan\phi[/tex]

From the question we are told

find an expression for the magnitude of the horizontal force f in the figure for which m1 does not slip either up or down along the wedge. all surfaces are friction-less.

 

Generally the equation for Normal force   is mathematically given as

[tex]N=\frac{n_2g}{cos\pji}[/tex]

Where

a signifies acceleration

[tex]Nsin\phi=m_2a[/tex]

Therefore

Equating above equations

[tex]a=\frac{Nsin\phi}{m^2}\\\\a=gtan\ph[/tex]i

Generally the equation for Force on wedge   is mathematically given as

[tex]F=m_1a+Nsin\phi[/tex]

[tex]F=(m_1+m_2)gtan\phi[/tex]

Therefore

The expression for the magnitude of the horizontal force F is

[tex]F=(m_1+m_2)gtan\phi[/tex]

For more information on this visit

https://brainly.com/question/19007362?referrer=searchResults

what type of energy results from the position of an object?

Answers

Answer:

Explanation:

Some objects have energy as a result of their shapes or positions. Energy that results from the position or shape of an object is called potential energy. Gravitational Potential Energy – potential energy related to an object's height.

Which phrase describes speed? A. A quantity with direction only B.A vector quantity C.A scalar quantity D.A quantity with no units

Answers

Answer:

C. A scalar quantity

Explanation:

Speed does not have a direction. Speed with a direction is known as velocity.Vector quantities are quantities with magnitude and direction. As stated before, speed does not have a direction.Speed has a SI unit of m/s (meters per second).

Therefore, the answer is C.

3. In Figure 2, which object (A, B, or C) has the highest density? Why?

Answers

Answer: C Because it has more dots in the rectangle meaning that if it has more dots than others then it has a higher density according to the model

Explanation:

Whoich has a greater volume 1kg of gold or 1kg of silver

Answers

Answer:

equal

Explanation:

both pursue same amount of weight

Both metals with have the same amount of volume as it takes up same amount of space no matter what.

The lines ane on top of each other
40 m
Distance:
Displacement:

Answers

Explanation:

Distance = Total path length Distance = 38m + 35m + 40m Distance = 113m

Displacement = Final - Initial posiⁿDisplacement = 40m - 38mDisplacement = 2m

Cosmic abundance is made up primarily of what gases?

Answers

Answer:

Hydrogen and Helium

Explanation:

The abundance of chemical elements in the universe was made up of large amounts of these 2 gases, the rest made up only about 2% of the universe. Which were produced mostly by supernovae and certain red giant stars

Other Questions
Which of the following best describes the relationship shown in the equation below? A. It cannot be determined if this is or is not a functional relationship. B. This is a functional relationship. C. This is not a functional relationship. The story ends with Andrea turning in her registration form to Mrs. ParkinsonWrite an ending to the story that contains the beginning of Andrea's speech. Be sure to stay true to the characters. Use details from the story in your answer. Be sure to use a variety of descriptive words and phrases in your writing. Begin with:That evening, Andrea got right to work on her speech... The teacher-student ratio at Dunn Middle School is 1 to 23. If there are 966 students, how manyteachers are there? Which is NOT a characteristic of life? Why are the alkali metals likely to react with group 17 elements? In the excerpt from Walden, what are Thoreaus beliefs about industrialization? How do they fit with the broader themes of transcendentalism? Cite evidence from the text to support your response. . Which of the following is a function of the skeleton? Gerald Early said that the people who hated jazz referred to it as what modern states territory was divided between the british and the french before the start of the french and indian war DIRECTIONS: ANSWER EACH QUESTION IN A COMPLETE SENTENCE IN FRENCH. USE THE SAME VERB TENSE FROM THE QUESTION IN YOUR ANSWER.1. Quel ge avait-elle sur cette photo?2. quelle heure tu tes lev(e) ce matin ?3. Est-ce que tu connais la musique de Michael Jackson?4. Est-ce que tu es dj all(e) Disney World?5. Quel temps faisait-il hier?6. Est-ce que tu as regard un film rcemment? Quel film? elabora un ensayo sobre la actual pandemia add me on f0rtnitebirdie4000 Can someone check this for me and tell me if Im wrong or correct? Thank you circulating hormones are mostly taken up and degraded by the _________ and the __________. an influential economic thinker, known as the father of modern economics," was PLEASE ANSWER THIS!!!!! Please answer this question please answer my ESP Question # 3Multiple ChoiceWhich whole number property is represented?65 + 0 = 65Identity Property of AdditionIdentity Property of AdditionAssociative Property of AdditionAssociative Property of AdditionCommutative Property of Addition it is necessary that you......able to come with us