The Royal Gorge bridge over the Arkansas River is 393 m above the river. A bungee jumper of mass 150 kg has an elastic cord of length 78 m attached to her feet. Assume the cord acts like a spring of force constant k. The jumper leaps, barely touches the water, and after numerous ups and downs comes to rest at a height h above the water. The acceleration of gravity is 9.81 m/s². Find h. Answer in units of m.

Answer: He didn't invent printing. He didn't even invent movable type. He often ran into legal trouble and, when he died in 1468, he did so with little money or glory.

Explanation:

The introduction of movable type printing during the Renaissance, particularly Gutenberg's press, greatly expanded access to information, decreased the cost of books, and increased literacy rates. It allowed for the spread of revolutionary ideas, facilitating movements like the Protestant Reformation and contributing to the rise of humanism and skepticism. This technological advancement changed society drastically and laid the foundation for modern information dissemination.

The Impact of Movable Type Printing During the Renaissance

The advent of printing with movable type during the Renaissance was a pivotal moment in history that dramatically changed how people accessed and consumed information. Johannes Gutenberg's advancement in Europe allowed for the mass production of texts, breaking the monopoly of knowledge held by religious and noble authorities. This innovation spurred the spread of ideas, fostering literacy, education, and the invention of print media. It contributed to major societal shifts, including the Protestant Reformation, the rise of humanism, and the challenge to traditional authorities by thinkers like Machiavelli and Galileo.

The printing press's multiplication of texts made books cheaper and more available, resulting in a significant increase in literacy rates across Europe. Schools could provide more reading material to students, and adults had easier access to a variety of writings. The flourishing of ideas and the diffusion of classical and critical texts contributed to the philosophical movement of humanism and skepticism toward established doctrines. This laid the groundwork for the development of national identities and movements such as the Protestant Reformation, where figures like Martin Luther could disseminate their ideas widely.

By 1480, nearly every large European city boasted at least one printing press, with Venice being particularly noted as a hub for printing. The design of fonts and standardized printing processes are part of Gutenberg's lasting legacy. In parallel, the consequences of this invention on knowledge and information flows are considered a precursor to the modern Age of Enlightenment and our current information age.

Answer:

The results of this experiment is that the vast majority of the particles were very little deviated,

Explanation:

Rutherford's experiment consisted of making alpha particles that are helium nucleus with two positive charges on a thin sheet of gold.

The results of this experiment is that the vast majority of the particles were very little deviated, which agrees that the charge and mass of the electrons is small, so their repulsion is very small

A few particles are strongly deviated and much less highly deviated almost  

back off, this allowed us to suggest that the positive charge and mass was concentrated in a very small area of ​​space, which I call nucleus

The amount of light a telescope collects is proportional to the square of its diameter. A 2-m telescope would need four times as long to collect the same amount of light as a 4-m telescope. Therefore, it would take 40 minutes for a 2-m telescope to collect the same amount of light that a 4-m telescope can in 10 minutes.

The amount of light collected by a telescope is proportional to the square of its diameter. In other words, a telescope with twice the diameter will collect four times as much light. Hence, a 4-m telescope will collect light four times as fast as a 2-m telescope, given that everything else (including observational conditions) remains constant.

This means that to collect the same amount of light, a 2-m telescope would need four times longer than a 4-m one. So, if a 4-m telescope collects a certain amount of light in 10 minutes, a 2-m telescope would need 40 minutes to collect the same amount of light.

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To dry off your brakes after driving through water, you should apply them gently as you accelerate. This action will evaporate the water through heat created by the friction between the brake pads and rotors, thus restoring your brakes’ functioning.

If you drive through water, your brakes can become wet and lose their effectiveness. The best way to dry the brakes off is to C) apply your brakes gently as you accelerate. This method is preferable because it allows the heat generated by the friction between the brake pads and the rotors to evaporate the water, restoring your brakes' effectiveness. It's also important to remember that slamming on your brakes, increasing your speed, or pulling over to wait can be dangerous practices depending on your situation and may not contribute to your brakes' quick recovery.

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To dry off slippery brakes after driving through water, gently apply your brakes while accelerating. This uses frictional heat to dry the brakes gradually and safely. So , Correct option is C.) apply your brakes gently as you accelerates.

If you drive through water, your brakes may become slippery and ineffective. To dry the brakes off, apply your brakes gently as you accelerate.

When your brakes are wet, slamming on them or increasing your speed can be dangerous. Instead, gently applying the brakes while accelerating helps generate heat through friction, which effectively dries the brake components. This ensures your brakes regain their effectiveness gradually and safely.

Answer: The mass number of an atom of carbon (C) represents the total number of protons in the atom. neutrons and electrons in the atom. protons and neutrons in the atom. electrons in the atom.

Answer ?

Protons and neutrons.

Explanation ??

Well, protons and neutrons are the largest particles in an atom. Electrons are not included in the mass because they are too small to make a difference in the mass.

(( Max ))

Answer:

Weight = 4900 N

Explanation:

Given:

Mass of the piano is, [tex]m=500\ kg[/tex]

Acceleration due to gravity is, [tex]g=9.8\ m/s^2[/tex]

Height to which the piano is raised is 8.0 m.

We are asked to determine the weight of the piano.

We know that, weight of a body is nothing but gravitational force acting on it by the center of Earth. It is equal to the product of mass and acceleration due to gravity.

Weight is independent of height til the height is very less than the radius of Earth. At very high altitudes which are comparable to the radius of Earth, the value of 'g' changes and hence the weight. But, here the height is very small and hence the value of 'g' equals 9.8 m/s² only.

Thus, weight of the piano is given as:

Weight = Mass [tex]\times[/tex] Acceleration due to gravity

Weight = [tex]mg[/tex]

Weight = [tex](500\ kg)(9.8\ m/s^2)=4900\ N[/tex]

Weight is a force so, its unit is same as that of force and hence it is measured in Newtons.

Therefore, the weight of the piano is 4900 N.

Answer:False

Explanation:

Turn the key to lock is not advisable as it lock the steering wheel and may create a dangerous situation.

Following steps can be taken in this situation

Answer

given,

time of travel = 2 hours

distance between the two car = 208 miles

one car traveled 8 miles per hour faster than other.

speed of both the car =?

Let speed of one car = x

speed of the second car = x + 8

distance = speed x time

distance = 2 x..............(1)

distance = 2(x+8)...........(2)

total distance = 208 miles

2 x + 2(x + 8) = 208 miles

2 x + 8 = 104

2x = 96

x = 48 mile/h (1st car)

x + 8  = 56 mile/hr(2nd car)

hence, speed of both the vehicle is given above.

Answer:

113.7

Explanation:

maximum distance (s) = 8.9 km

reference intensity (I0) = 1 x 10^{-12} W/m^{2}

power of a juvenile howler monkey (p) = 63 x 10^{-6} W

distance (r) = 210 m

intensity (I) = power/area

where we assume the area of a sphere due to the uniformity of the output in all directions

area = 4π[tex]r^{2}[/tex] =  4π x [tex]210^{2}[/tex] = 554,176.9 m^{2}

intensity (I) = [tex]\frac{63 x 10^{-6} }{554,176.9} = 113.7 x 10^{-12}[/tex]

therefore the desired ratio I/I0 = [tex]\frac{113.7 x 10^{-12}}{1 x 10^{-12}}[/tex] = 113.7

To find the ratio of the acoustic intensity produced by the juvenile howler to the reference intensity I0, you need to calculate the acoustic intensity at a distance of 210 m. By using the formula I = P / A, you can find the acoustic intensity by calculating the power emitted by the source and the area through which the sound is passing. Then, find the ratio of the acoustic intensity produced by the juvenile howler to the reference intensity I0 by dividing the calculated acoustic intensity by I0.

To find the ratio of the acoustic intensity produced by the juvenile howler to the reference intensity I0, we need to calculate the acoustic intensity at a distance of 210 m.

Acoustic intensity is given by the formula:

I = P / A

where I is the acoustic intensity, P is the power emitted by the source, and A is the area through which the sound is passing.

First, convert the power of the juvenile howler monkey from 63 μW to watts:

P = 63 x 10^-6 W

Next, calculate the area through which the sound is passing:

A = 4πr^2

where r is the distance of 210 m.

Finally, calculate the acoustic intensity:

I = P / A

Now, find the ratio of the acoustic intensity produced by the juvenile howler to the reference intensity I0 by dividing the calculated acoustic intensity by I0:

Ratio = I / I0

Answer:

-main-sequence star

-protostar with jets

-contracting cloud trapping infrared light

-molecular-cloud fragment

Explanation:

The Life of a Star of about one Solar Mass. Small stars have a mass upto  1 1/2 times that of the Sun. Stars are planetary bodies that revolve in space. They are the combination of hydrogen and helium gases

seven main stages of a star formation are

A Giant Gas Cloud. A star begins life as a large cloud of gas. ...

A Protostar Is a Baby Star. ...

The T-Tauri Phase. ...

Main Sequence Stars. ...

Expansion into Red Giant. ...

Fusion of Heavier Elements. ...

Supernovae and Planetary Nebulae.

But ranking them according to  the central temperature, from highest to lowest. will be

-main-sequence star

-protostar with jets

-contracting cloud trapping infrared light

-molecular-cloud fragment

Answer:

2.17*10^9 Hz

Explanation:

Suppose a manufacturing error occurred and the oven was made 4.0 cm longer than specified in part (a). In this case, the frequency of the microwaves for which there are five antinodal planes of the electric field along the width of the oven is calculated as shown below.

In the given question, we have the following variables:

speed = c = 3*10^10 cm/s

wavelength = λ = 12.2+(4/2.5) = 13.8 cm

Using the equation that relates frequency, wavelength, and speed. We have:

f = c/λ = 3*10^10/13.8 = 2.17*10^9 Hz

Therefore, the frequency of the microwave is 2.17*10^9 Hz.

Answer:

4820.9 J of work is done on the flight bag.

Explanation:

Given:

Force acting on the bag is, [tex]F=30.0\ N[/tex]

Displacement of the bag caused by the force is, [tex]S=250.0\ m[/tex]

Angle between the direction of force and direction of displacement caused is, [tex]\theta = 50\°[/tex]

Now, the formula to calculate work done on a body by a force 'F' causing displacement 'S' at an angle [tex]\theta[/tex] between the two vectors is given as:

[tex]W=FS\cos \theta[/tex]

Plug in the given values and solve for work done 'W'. This gives,

[tex]W=(30.0\ N)(250.0\ m)(\cos 50)\\W=4820.9 \textrm{ N-m or 4820.9 J}[/tex]

Therefore, the work done on the flight bag is 4820.9 J.

Answer:

Two estimates

Explanation:

There are mainly two estimates used in the calculation of depreciation such as the useful life and the salvage value of an asset. The salvage value is defined as the predicted amount that will be obtained by a company from an asset when it is disposed at the end of the useful life of the particular asset. On the other hand, the useful life commonly refers to the estimation of how long the asset is useful for the company. This is different from the lifespan of the asset.  

Answer:  The correct answer is :  There are several methods to calculate depreciation, such as: straight line, activity or units produced, sum of annual digits and double share on the decreasing value.

Explanation:  The most commonly used methods are, the linear method, where the original cost of an asset is divided by its estimated useful life to find the amount to be amortized each year and also the accelerated depreciation method is used in which more depreciation is provided the first years of useful life of the asset and for the remaining years a lower depreciation is assigned. This method in turn can be: doubly decreasing balance (200%), 150% decreasing balance, 125% decreasing balance and digits of the sum of the years.

Answer:

The power required to stop the car =  8 × 10⁵ watt.

Explanation:

Kinetic Energy: This is the energy of a body in motion. The S.I unit of energy is Joules (J).

Power: These is defined as time rate of doing work, or it can be defined as the time rate of transfer of energy. The S.I unit of power is Watt (W).

Mathematically, power can be expressed as

Power = Energy/time

P = E/t................. Equation 1

Given: E = 8×10⁶ J, t = 10 s

Substituting these values into equation 1,

p = 8×10⁶/10

p = 8 × 10⁵ watt.

Therefore the power required to stop the car =  8 × 10⁵ watt.

The power required to stop the car along the horizontal road is 8 × 10⁵ watt.

Kinetic Energy:

It is the energy of a object or body due to its motion. It  is measured in Joules (J).

Power:

It can be defined as the time rate of transfer of energy. It  is measured in Watt (W).    

P = E/t

Where,

P - Power =

E - Energy = 8×10⁶ J

t - time = 10 s

Put the values into the formula,  

p = 8×10⁶/10  

p = 8 × 10⁵ watt.

Therefore, the power required to stop the car along the horizontal road is 8 × 10⁵ watt.

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Answer:

Explanation:

When loading muzzle-loading firearm it is important to eliminate any air space between the projectile and the powder charge because it may create dangerous pressure build inside the muzzle.  

The high amount of Pressure build-up may backfire the bullet and may cause harm to the fireman. It creates a high magnitude impulse on the fireman which can be dangerous for his body parts. High pressure may also explode the gun powder on the spot and causes a fire.

Answer:

a) I = 270.18 Kg*m/s

b) F = -3216.42N

Explanation:

a) We know that:

I = [tex]P_f -P_i[/tex]

Where I is the impulse, [tex]P_f[/tex] is the final momentum and [tex]P_i[/tex] the initial momentum.

so:

I = [tex]MV_f -MV_i[/tex]

where M is the mass, [tex]V_f[/tex] is the final velocity and [tex]V_i[/tex] is the initial velocity.

First we have to find the [tex]V_i[/tex]. So, using the conservation of energy.

[tex]Mgh = \frac{1}{2}MV_i^2[/tex]

where g the gravity and h the altitude. Replacing values, we get:

[tex](79kg)(9.8m/s)(0.6m) = \frac{1}{2}(79kg)V_i^2[/tex]

solving for [tex]V_i[/tex]:

[tex]V_i[/tex]= 3.42 m/s

Now, replacing in the previus equation:

I = [tex]MV_f -MV_i[/tex]

I = [tex](79kg)(0)-(79kg)(3.42m/s)[/tex]

I = -270.18 Kg*m/s

The impulse is negative becuase it is upward.

b) We know that:

Ft = I

where F is the force, t the time and I the impulse.

so, replacing values and solving for F, we get:

F(0.084s) = -270.18 Kg*m/s

F = -3216.42N

The force is negative becuase it is upward.

Answer:

C) As Sachin Tendulkar is short in height himself, these genes of short height may get transferred in to his children. Most likely.

Explanation:

All the above options except one cannot be genetically determined.

A) This option is absolutely absurd because how can Sachin Tendulkar's information determine who is children are gonna marry

B)It cannot  be determined.

C) As Sachin Tendulkar is short in height himself, these genes of short height may get transferred in to his children. Most likely.

D) Sachin Tendulkar is a famous batsman that does not mean his children also have to be famous batsmen

Answer:

If the canoe heads upstream the speed is zero. And directly across the river is  8.48 [km/h] towards southeast

Explanation:

When the canoe moves upstream, it is moving in the opposite direction of the normal river current. Since the velocities are vector (magnitude and direction) we can sum each vector:

Vr = velocity of the river = 6[km/h}

Vc = velocity of the canoe = -6 [km/h]

We take the direction of the river as positive, therefore other velocity in the opposite direction will be negative.

Vt = Vr + Vc = 6 - 6 = 0 [km/h]

For the second question, we need to make a sketch of the canoe and we are watching this movement at a high elevation. So let's say that the canoe is located in point 0 where it is located one of the river's borders.

So we are having one movement to the right (x-direction). And the movement of the river to the south ( - y-direction).

Since the velocities are vector we can sum each vector, so using the Pythagoras theorem we have:

[tex]Vt = \sqrt{(6)^{2} +(-6)^{2} } \\Vt=8.48[km/h][/tex]

When paddling upstream against a current of equal speed, the canoe remains stationary (0km/hr), as the man's paddling counteracts the downstream current. If the man were to paddle the canoe directly across the river, the speed of the canoe would be 6 km/hr, since the river's current doesn't directly impact the speed he can move perpendicular to the current.

This question deals with the concept of relative motion in Physics. When the man paddles the canoe upstream, he is going against the river current. Therefore, the effective speed of the canoe is the difference between his paddling speed and the river current speed, i.e., 6 km per hour (canoe speed) - 6 km per hour (current speed) = 0 km per hour.

When the man paddles the canoe directly across the river, the river's current doesn't directly affect his progress across the river. Thus, the speed of the canoe remains the speed with which the man paddles it, i.e., 6 km per hour. However, the path will not be straight because of the river's current. It is essential to understand these principles to solve similar problems involving relative motion.

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Answer:

The environmental remediation is the way to protect the environment by removing the pollutants.

Explanation:

Environment remediation is the method in which the discrimination or removal of pollution or contaminants from the various media like soil, groundwater, sediments or surface water. For this various techniques are there like containment, pump and treat, Extraction, stabilisation/ solidification, soil washing, air stripping, precipitation, vitrification, thermal desorption and biological remediation. The environmental remediation is important because it helps in reduction of the radiation exposure. The idea is just removal of the radiation sources, so as to protect the people as well as the environment from the harmful effects from the exposure to ionizing radiation.

Answer:

B. Technician B only

Answer:

MultiTaction

Explanation:

MultiTaction is a company founded in 1997 and a top developer that specializes in advanced visualization solutions, and they are responsible for developing the collaboration software.

Developed and designed to help teams collaborate globally in real-time, Canvus Connect collaboration software that makes it possible for remote users to share, draw, manipulate, and input information in on a single board was developed by MultiTaction.

Canvus Connect is a cutting-edge collaboration software developed by MultiTaction, specifically designed to facilitate seamless global teamwork in real-time. This innovative platform empowers remote users to effortlessly share, draw, manipulate, and input information on a unified digital board.

By harnessing the power of Canvus Connect, teams scattered across the globe can now engage in productive and interactive collaboration sessions as if they were in the same physical space. This software stands out for its user-friendly interface and its ability to foster creativity and efficiency in group projects.

With Canvus Connect, MultiTaction has revolutionized the way teams work together, breaking down geographical barriers and enabling a new level of productivity in the modern era of remote and distributed work environments.

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Answer:

212.12 J

Explanation:

As the child starts from rest and rolls down on the incline, the potential energy of the child decreases due to decrease in the height. This drops in potential energy appears as an increase in kinetic energy of the child as it gains speed. hence kinetic energy gained by the child at the bottom is same as the potential energy of the child at the top.

[tex]m[/tex] = mass of the child = 37 kg

[tex]L[/tex] = length of the incline surface = 2.0 m

[tex]\theta[/tex] = angle of the incline from the horizontal = 17 deg

[tex]K[/tex] = kinetic energy of the child at the bottom

height of the incline surface is given as

[tex]h = L Sin\theta\\h = (2.0) Sin17.0\\h = 0.585 m[/tex]

[tex]PE[/tex] = Potential energy of the child at the top

Potential energy of the child at the top of incline is given as

[tex]PE = mgh \\PE = (37) (9.8) (0.585)\\PE = 212.12 J[/tex]

Using conservation of energy

Kinetic energy at the bottom = Potential energy at the top

[tex]K = PE\\K = 212.12 J[/tex]

To find the kinetic energy of the child at the bottom of the incline, calculate the potential energy at the top and equate it to the kinetic energy at the bottom due to energy conservation, as there is no friction.

The subject of this question is Physics, specifically focusing on the topics of energy and motion on inclines. To find the kinetic energy of the child at the bottom of the incline, you would need to calculate the potential energy at the top of the incline and assume it transforms into kinetic energy at the bottom due to conservation of energy, as there is no friction to dissipate it.

To calculate the potential energy (PE) at the top of the incline, you can use the formula: PE = mgh, where m is the mass of the child, g is the acceleration due to gravity (9.8 m/s2), and h is the height of the incline.

The height can be found using trigonometry, since h = s sin(θ), where s is the length of the incline and θ is the angle of the incline with respect to the horizontal. Once you find the PE, this will equal the kinetic energy (KE) at the bottom of the slope, so KE = PE. Plug in the values (mass of 37 kg, length of the slope 2.0 m, angle 17 degrees) to solve for the kinetic energy.

Answer:c

Explanation:

When the direction of current is towards the observer then the magnetic field around it will be in the form of concentric circles and its direction will be anti-clockwise when viewed from the observer side.

Whenever current is flowing in a current-carrying conductor then the magnetic field is associated with it and direction of the magnetic field is given by right-hand thumb rule according to which if thumb represents the direction of current then wrapping of fingers will give the direction of the magnetic field                

Answer:

17.7 mm

Explanation:

Poiseuille's law can be used to solve for the radius of the pipe

Volume per seconds flowing through the pipe = 7.3 / (51 × 60 s) = 0.0239 m³ / s

volume per seconds = π R^4 ( Pi - Po) / ( 8 ηL) where R is the radius of the pipe in mm, (Pi - Po) is the pressure difference in Pa, L is the length of the pipe in meters, and η is the viscosity in Pa.s

Pi - Po = ( 7.4 - 1.01) × 10^5 since 1 atm represent atmospheric pressure and it is equal to 1.01 × 10^5

Pi -Po = 6.39 × 10^5

substitute the values into the equation

0.00239 = 3.142 × (R^4) × 6.39 × 10^5 / ( 8 × 11 × 0.934)

cross multiply

0.00239 × 8 × 11 × 0.934 = (R^4) × ( 2.01 × 10^6)

make R subject of the formula

R^4 = (0.00239 × 8 × 11 × 0.934) / ( 2.01 × 10^6)

R = [tex]\fourthroot{9.77 * 10^-8}[/tex]  

R = 0.0177 m = 17.7 mm

Answer:Work

Explanation:

When a spring is compressed the energy changes from kinetic to potential energy as Energy cannot be destroyed but can be transformed from one form to another.

This can be best explained with the help of work. Suppose a block with certain kinetic energy comes in contact to the spring its kinetic energy changes to Potential Energy of the spring or we can say that its Kinetic Energy is converted to Potential energy as the block does work on spring.  

Block compresses the spring by changing its length and it requires some work which is equal to change in its Potential Energy of spring.

Answer:

A) Work

Explanation:

I just took the test

Answer:

more vulnerable to icing

Explanation:

The main disadvantage of float-type carburetor is its susceptibility to icing which occurs when there is fuel vaporization and decrease in air pressure in the venturi, which causes a sharp temperature drop in the carburetor. This fuel vaporization occurs within the cylinder of a fuel-injected engine and makes fuel injection system less susceptible to icing.

Float-type carburetor systems are more prone to carburetor ice compared to fuel injection systems due to the nature of their design. With regard to carburetor ice, float-type carburetor systems are generally considered to be more susceptible to icing than fuel injection systems.

Carburetor ice occurs when moisture in the air freezes at the narrow throat of a carburetor during the fuel vaporization process, which can lead to engine malfunction or failure. The design of float-type carburetors, where fuel is mixed with air before it enters the intake manifold, creates conditions that are conducive to icing, particularly in cold and damp conditions. Fuel injection systems, on the other hand, typically introduce fuel further downstream and usually directly into the combustion chamber or just before the intake valve, which reduces the likelihood of ice formation. Furthermore, these systems operate without the need for a venturi or carburetor throat, minimizing the potential for ice to form within the system.

Answer:

Neptune is approximately 41 times as far from the sun as Venus

Explanation:

Estimate = distance of Neptune from the sun ÷ distance of Venus from the sun = 4.5×10^9 ÷ 1.18×10^8 = 40.9 (approximately 41)

Neptune is approximately 41 times farther from the sun than Venus.

The best estimate of how many times as far from the sun Neptune is as Venus is approximately 40 times.

To find this, you can divide the distance of Neptune from the sun by the distance of Venus from the sun:

Neptune distance / Venus distance = 4.5*10^9 km / 1.1*10^8 km = 41

Explanation:

As the distance between a planet and the sun increase, the following quantities will decrease.

1. The gravitational force is given by :

[tex]F=G\dfrac{m_1m_2}{r^2}[/tex]

As the distance between a planet and the sun increase, the gravitational force decrease.

2. As the distance between a planet and the sun increase, it result in the decrease in its speed. Due to decrease in gravitational force, centripetal force acting on the planet should decrease. Since,

[tex]F_c=\dfrac{mv^2}{r}[/tex]

v is the tangential speed

So, the tangential speed must decrease.

3. The distance traveled in a day should decrease.

Hence, this is the required solution.

Explanation:

Following are the steps taken

1. To turn off the wave in the wave pool press the emergency turn off button (E-stop).

2. Winding of river or shutting off flow of water in the slide.

3. Dispatch of riders at speed slide is stopped.

a) The coin reaches a maximum height of approximately 1.28 meters above the release point.

b) The coin remains in the air for approximately 1.02 seconds before returning to the release point.

We calculate the maximum height and total air time of a football coin tossed with an initial speed of 5 m/s, neglecting air resistance.

a) Maximum Height:

Use the vertical motion equation: [tex]v^2 = u^2[/tex] + 2gh, where v = 0 at the peak (no upward velocity), u = 5 m/s (initial speed), g = 9.81 m/[tex]s^2[/tex] (gravity), and h is the unknown maximum height.

Rearrange and solve for h: h = ([tex]v^2 - u^2[/tex]) / 2g ≈ 1.28 meters.

Therefore, the coin reaches a maximum height of approximately 1.28 meters above the release point.

b) Total Air Time:

Since the initial and final velocities at the release point are equal but in opposite directions, the total air time can be calculated twice the time to reach the peak.

Use the same vertical motion equation: t = u/g ≈ 0.51 seconds.

Total air time: 2t ≈ 1.02 seconds.

Therefore, the coin remains in the air for approximately 1.02 seconds before returning to the release point.