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.

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Related Questions

Why do patterns of earthquakes become deeper the farther the distance from a plate boundary?

Answers

Answer:

The result is that epicentres of earthquakes farther to the interior of the overriding plate will correspond to increasingly deep earthquakes.

why do we need to know physical and chemical change?

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It is important to understand the differences between physical and chemical changes. ... It helps to think of physical changes as those involving changes that don't change the make up of the substance, while chemical changes are those that create a new substance. Physical Changes involve energy.

Volcanic Island Arcs, such as Japan, form when a(n) __________ plate is subducted below a(n) _________________ and takes seawater with it. A rock and water mixture will break through the crust.

Answers

Volcanic Island arcs form when an oceanic tectonic plate is subducted below a tectonic plate  taking seawater with it.

Volcanic island arcs occur offshore during volcanoes. They occur due to the subduction of an oceanic plate under another tectonic plate. Volcanic Island arcs occur mostly in ocean basins.

Due to the subduction of oceanic plates under tectonic plates, Island Arcs are found, mostly along the margins of continent.

Hence we can conclude that Volcanic Island arcs Form when an oceanic tectonic plate is subducted below a tectonic plate  taking seawater with it.

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An object is traveling at a constant velocity of 8 m/s when it experiences a constant acceleration of 3.5 m/s2 for a time of 40 s. What will its velocity be after that acceleration? *

Answers

Answer:

140 m/s

Explanation:

v = u + at

v = 8 + 3.5(40) = 140 + 8 = 140

The answer is 84N, but what is the mass and weight calculation?

Answers

Answer:

weight= density ×volume× 9.8

mass=density×volume

Explanation:

[tex]weight = 0.12 \times 0.04 \times 0.04 \times 3.14 \times 13600 \\ \times 9.8 = 80.351 \: n \\ \\ mass = 0.12 \times 0.04 \times 0.4 \times 3.14 \times 13600 = \\ = 8.199 \: kg[/tex]

What is the initial velocity of a moose who
accelerates uniformly at 1.5 m/s/s for 5 seconds and
finishes with a velocity of 7 m/s?

Answers

Answer:

- 0.5 m/s

Explanation:

(1) Acceleration = change in velocity / time

(2) Change in velocity = (Final velocity - Initial velocity)

We know:

acceleration = 1.5 m/s/s

time = 5 seconds

final velocity = 7 m/s

x = initial velocity)

1.5 = ( 7 - x ) / 5

1.5 x 5 = ( 7 - x )

7.5 = 7 - x

x = -0.5 m/s

You can check the answer by plugging in the values to equation (1).

will give correct answer brainliest​

Answers

Answer:

West

Explanation:

This is because the first caar has more mass

1. What is the diameter of Mars?
2. What is primary component of Mars’ atmosphere?
3. Why is Mars red?

Answers

6,799 kmOn average, the data revealed, the equatorial Martian atmosphere consists of 95% carbon dioxide, 2.59% nitrogen, 1.94% argon, 0.161% oxygen, and 0.058% carbon monoxide.

3. The simple explanation for the Red Planet's color is that its regolith, or surface material, contains lots of iron oxide — the same compound that gives blood and rust their hue. ... It does have an iron core, but abundant iron exists in its upper layers, also.

A person travels 350 km at an average speed of 60 km/hr. How long did it take?

Answers

Answer:  5.8 hours

Explanation:

Time= distance divided by speed, so:

350 divided by 60= 5.8 hours


PI=100 kPa
VI=5 L
P2= 200 kPa
V2=?L

Answers

Answer:

Explanation:

100.5=200.V2

V2 = 2,5L

make a island with all renewable energy soursws and how it works and about it but at year 9 level​

Answers

Answer:

How are we expected to make an island

Four different blocks are resting on the floor. They each have a different mass, and they are each made of a different material, so the coefficients of friction are not the same. Using the information in the table below, rank, from highest to lowest, the magnitude of the maximum horizontal force

Answers

To answer this question, it is necessary to apply the static condition from Newton´s Laws

The solution is:

Fd > Fc > Fa > Fb

From the body free diagram, and from the second Newton´s law of movement we get:

∑ Fx  = 0           F - Fr  = 0         F = Fr             Fr = μ×N

∑ Fy  = 0     N = m×g  ⇒   Therefore       Fr = μ×m×g

F = μ×m×g      g is the same in all the cases, then we just compare the products  μ×m

So when F is just greater than Fr, the body will start moving

we make a table, with values from the information table.

1.-  μ×m   =  0.5× 40  = 20

2.-μ×m   =  0.4× 80   = 16

3.- μ×m   = 0.7× 30   = 21

4.- μ×m   = 0.9× 35   = 31.5

According to the table, from highest to lowest the magnitude of the horizontal force is:

Fd > Fc > Fa > Fb

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How much energy is required to take 500g of ice at -40 degrees to water at room temperature (22 degrees Celsius)? Show work pls

Answers

Answer: Given that:

Mass (m) = 20 g = 0.02 Kg,

temperature (T₁) = -10°C = -10+273 = 263 K

temperature (T₂) = 10°C = 10+273 = 283 K

Specific heat of water (Cp) = 4.187 KJ/Kg k

We know that Heat transfer (Q) = m. Cp.( T₂ - T₁)

                                                   = 0.02 × 4.187 × (283-263)

                                                Q = 1.67 KJ

Heat transferred is 1.67 KJ

Explanation:

Sound is caused by:


Air

Electricity

Force

Vibrations

Answers

sound is caused by vibrations

Answer:

Vibrations

Explanation:

Sounds are produced by vibrations.

Sound travels as waves, which in turn create other particles to vibrate creating vibrating particles and change sound.

Sound waves are reflected by surfaces.

2 Select the correct answer. In a given chemical reaction, the energy of the products is less than the energy of the reactants. Which statement is true for this chemical reaction? O A Energy is absorbed in the reaction. OB. Energy is released in the reaction. OC. There is no transfer of energy in the reaction. OD Energy is lost in the reactlon. Reset Next ghts reserved.​

Answers

Answer:

B Energy is released

Explanation:

A cat falls from a table of height 1.3 m. What is the impact speed of the cat?
O A. 7.5 m/s
O B. 2.5 m/s
O C. 5.0 m/s
O D. 25.5 m/s
SUBMIT

Answers

The impact speed will be

v^2 = 2*9.8*1.3

v^2 = 25.48

v= 5.04 m/s or O C. 5.0 m/s

How is air resistance similar to gravity? give me two reasons

Answers

Explanation:

I think this would help you. Read this and make your own answer ok.

The table describes the properties of four compounds.
Which compounds are most likely ionic?

compounds A and B
compounds B and C
compounds C and D
compounds D and A

Answers

The characteristics of the ionic bonds allows to find the results for the question about which compound are ionic is:

    d) Compounds D and A.

Chemical compounds are formed by atoms linked by electrostatic forces, where one of the elements gave up some electrons and the other element acquired these electrons, the two atoms being in an ionic state, consequently the bond is strong and has several characteristics:

High melting point. It dissolves in polar solvent (water). In general they are hard and brittle solids (NaCl). In solution they are conductors of electricity.

In these characteristics, let's analyze the compounds in the table.

With the property of high melting point the compounds A and D can be ionic. According to the dissolution property all could be ionic. According to the conduction property of electricity, compounds A and D can be ionic

Let's review the different alternatives:

a) False. Compound A and B has a low melting point.

b) False. The B and C compounds have low melting points.

c) False. Compound C has a low melting point.

d) True. The two compounds meet all the characteristics of ionic compounds.

In conclusion with the characteristics of the ionic bonds we can find the results for the question about which compound are ionic is:

       d) Compounds D and A are ionics.

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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:

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6. An object has a volume 30ml and a mass of 30g. What is the density

Answers

Answer:

1 g/mL

Explanation:

The density of a substance can be found by using the formula

[tex]density = \frac{mass}{volume} \\[/tex]

From the question

mass = 30 g

volume = 30 mL

We have

[tex]density = \frac{30}{30} = 1 \\ [/tex]

We have the final answer as

1 g/mL

Hope this helps you

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 :).

15. What is velocity, and how is it useful for describing an object's motion?

Answers

Velocity describes motion by indicating how fastan object moves and in what direction. Speed is a magnitude of velocity, which indicates only how fast an object moves. Speed shows how much distance is traversed in a given interval of time: In a general case of motion,.

will give correct answer brainliest









Which factors below will increase the momentum of a rolling ball of constant mass m? (Select only the answers that will increase the momentum of the ball.) Moving from a flat surface to moving downhill. Colliding with a ball of much lower mass moving in the opposite direction of the ball. A moving object traveling in the same direction as the ball colliding with it. Rolling uphill onto an inclined surface. Rolling onto a surface with high amounts of friction with the ball.​

Answers

In order to increase the momentum of the ball, you have to increase its speed.

The first and third choices on the list ('A' and 'C') will do that.

The factors that will increase momentum of a rolling ball are:

A. Moving from a flat surface to moving downhill.

C. A moving object traveling in the same direction as the ball colliding with it.

Factors that increase momentum:

The gravitational power of the Earth ready makes the ball speed up, and in this manner pick up speed.

If you increase either mass or velocity, the momentum of the object increases proportionally.

Thus, the factors that increase the momentum of a rolling ball are

A. Moving from a flat surface to moving downhill.

C. A moving object traveling in the same direction as the ball colliding with it.

Find more information about momentum here:

brainly.com/question/402617

If you place a force of 10 N on a box and accelerate at 1.2 m/s squared what is the mass of the box?

Answers

Answer:

8.33 kg

Explanation:

The mass of the box can be found by using the formula

[tex]m = \frac{f}{a} \\ [/tex]

f is the force

a is the acceleration

From the question we have

[tex]m = \frac{10}{1.2} = 8.333... \\ [/tex]

We have the final answer as

8.33 kg

Hope this helps you

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.

Define the words offense and defense in flag football​

Answers

Answer: I believe offense is the attacking team and defense is the defending team

Source: I just peeked at dad watching football

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

Answers

I believe it is A. None of these contain mass

farmer joe drives a tractor for 4 hours. his tractor is pulling a heavy plow across a rocky field. over the course of 4 hours, is the plow gaining or losing energy?

Answers

Over the course of the 4 hours for which farmer Joe's tractor is pulling the heavy plow, the plow is gaining energy by virtue of its displacement --termed the Kinetic energy.

According to the question, Farmer Joe drives the tractor for 4 hours.

However, the tractor is connected to a heavy plow and is used to pull the plow across a rocky field.

The question requires that we determine if the plow is gaining or losing energy.

In the plow's state of rest, prior to when it is connected to the tractor and pulled by the tractor; the plow possess a form of energy by virtue of its position termed the Potential energy.

However, the focus of the question is during the pulling action of the tractor on the plow.

As such, the plow now has a kinetic energy by virtue of its displacement..

Ultimately, the plow is gaining energy as it is being pulled by the tractor and now has Kinetic energy.

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Which of the following accurately describes circuits? Question 5 options: A) In a series circuit, the amount of current passing through each part of the circuit may vary. B) In a parallel circuit, the same amount of current flows through each part of the circuit. C) In a series circuit, the current can flow through only one path from start to finish. D) In a parallel circuit, there's only one path for the current to travel.

Answers

Answer:

The Answer would be C

In a series circuit , the current can only flow through only one path from start to finisb

If an object starts with a velocity of 5.26 m/s

and ends with a velocity of 60.7 m/s in 15.0

seconds, what is its displacement?

Answers

Answer:

Displacement = 8.4m

Explanation:

Hope that this is helpful.

Have a great day.

[tex]v = 60.7m {s}^{ - 1} \: u \: = 5.26m {s}^{ - 1 } \: t = 15s \: \: \: \: \: \\ a \: = \frac{v - u}{t} \\ a \: = \frac{60 .7- 5.26}{15} \\ a = 3.7m {s}^{ - 28} \\ {v}^{2} = {u}^{2} + 2as \\ {60.7}^{2} = {5.26}^{2} + 2 \times 3.7 \times s \\ 60.7 =27 .7 + 2 \times 3.7s \\60.7 = 29.7 \times 3.7s \\ 60.7 - 29.7 = 3.7s \\ 31 = 3.7s \\ \frac{31}{3.7} = \frac{3.7s}{3.7} \\ s = 8.4m[/tex]

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