Consider the spectra shown below. The top spectrum shows hydrogen lines observed at rest in a laboratory. The other three show the hydrogen lines from three different stars.
*DUE TOMORROW (2/7) NEED ANSWER TODAY (2/6

a.) For each star, determine whether it is moving toward or away from us.

b.) Which star is moving the fastest? How do you know?

The  following correctly orders the different categories of electromagnetic radiation; Radio, infrared, visible light, ultraviolet, X rays, gamma rays.

Ultraviolet (UV) radiation is a type of electromagnetic radiation emitted from the sun. It is a form of energy that is invisible to the human eye, but it can cause damage to living organisms. UV radiation is divided into three categories: UVA, UVB, and UVC. UVA radiation has the longest wavelength and is the least hazardous form of UV radiation. UVB radiation has a shorter wavelength and is more dangerous. UVC radiation has the shortest wavelength and is the most dangerous form of UV radiation. Exposure to UV radiation can cause sunburns, premature skin aging, and an increased risk of skin cancer.

To learn more about ultraviolet

https://brainly.com/question/1377878

#SPJ4

Answer:(a) For the first time step, using Δt = 0.1s:

pf = m * vavg

vavg = pf/m

vavg = (<−0.02, −0.01, −0.02> kg · m/s) / 0.011 kg

To find the position at t = 0.1 s, we need to find the average velocity over the time interval, and multiply it by the time interval:

position = initial position + vavg * Δt

position = <−0.2, −0.61, 0> m + vavg * 0.1 s

(b) To find the position at t = 0.05s, repeat the same steps as in (a) but with Δt = 0.05s.

(c) To find the position at t = 0.1s, starting from the position and momentum at t=0.05s, repeat the same steps as in (a) and (b) with the new initial position and momentum value

Explanation:

An amusement park ride consists of a large vertical wheel of radius R and a horizontal axis through its center that revolves counterclockwise.

Amusement rides, often known as carnival rides, are machines or installations that move people for entertainment and fun.

Many people mistakenly believe that rides are scarier or more dangerous than they actually are. This can be the result of the design, acrophobia, or knowledge of accidents involving similar rides. Some people enjoy the adrenaline rush that comes with riding amusement attractions since it adds to the experience.

amusement rides such as ferris wheels, Enterprise, and Skydiver are examples of vertical rides that typically move their guests in a vertical plane and around a fixed point.

Learn about amusement park https://brainly.com/question/24089532

#SPJ1

Throwing a baseball while floating alone in space is an astronaut. The astronaut will move in the opposite direction at a slower speed if the ball is moving away at 20 m/s (option B)

Since there is no gravity in space, the ball is not subject to the effects of gravity. When a ball is hurled upward into space, it rises steadily until it collides with an obstruction in its path.

A thrown ball will travel in a straight line and the person tossing the ball will also travel in a straight line in the opposite direction in deep space, which is far enough away from massive objects like stars and planets that gravity may be disregarded.

There is no longer any force exerted on the thing after it is out of your hand (at least in a vacuum). As a result, the object won't accelerate and will continue moving at the same speed as when it first left your hand.

Learn more about gravity in space here: https://brainly.com/question/30260109

#SPJ4

Answer:

The distance traveled by train in 12 seconds is 66.72 meters.

Explanation:

The acceleration rate given is in meters per second squared, so we need to convert the velocity of the train to meters per second.

20 km/hr = (20 x 1000)/(60 x 60) = 5.56 m/s

Now we can use the formula for displacement with constant acceleration:

d = v₀t + 0.5at²

where

v₀ = initial velocity = 5.56 m/s

t = time = 12 s

a = acceleration = 0.5 m/s²

Substituting the values, we get:

d = 5.56 x 12 + 0.5 x 0.5 x 12²

d = 66.72 m

Air is used to pressurize water in a tank, and the pressure is then measured. by a multifluid manometer so Consequently, the air pressure in the tank is 129.45KPa.

In the physical sciences, pressure is defined as either the stress at a place within a confined fluid or the perpendicular force per unit area. The weight of the atm is atmospheric pressure, which is approximately 15 pounds per square inch at sea level. Each square meter of the Earth's surface is under pressure from the atmosphere.

atmospheric pressure ([tex]P_{atm[/tex])=85.6kPa

 [tex]P_{atm[/tex]=85600Pa

density of water=[tex]\rho =[/tex]1000 kg/[tex]m^3[/tex]

density of oil([tex]\rho_0[/tex])=850kg/[tex]m^3[/tex]

density of mercury([tex]\rho_{m[/tex])=13600 kg/[tex]m^3[/tex]

height of water column([tex]h_1[/tex])= 0.1m

height of oil column from water level([tex]h_2[/tex])=0.2m

height of mercury column ([tex]h_3[/tex])=0.35m

pressure at point B

[tex]P_B=P_{air} +\:\rho_0gh_1\: +\rho_wgh_2 \: \rightarrow(1)[/tex]

[tex]P_B=P_{atm} +\:\rho_mgh_3\: \rightarrow(2)[/tex]

[tex]P_{air} +\:\rho_0gh_1\: +\rho_wgh_2 \:=P_{atm} +\:\rho_mgh_3\:[/tex]

[tex]P_{air} =\:-\rho_0gh_1\: -\rho_wgh_2 \:+P_{atm} +\:\rho_mgh_3\:\rightarrow(3)[/tex]

[tex]\rho _mgh_3[/tex]=13600x9.8x0.35=46648 Pa

[tex]\rho _0gh_1[/tex] =850x9.8x0.1=833 Pa

[tex]\rho _wgh_2[/tex] =1000x9.8x0.2=1960 Pa

By putting the value in eq.3

[tex]P_{air[/tex]=85600+46648−833−1960 = 129455Pa

therefore pressure of air in the tank is 129.45KPa

Learn more about pressure

brainly.com/question/12497098

#SPJ4

The volume of an item may be determined simply yet accurately by measuring the displacement of water.

It works by putting the object in a water-filled container and then calculating how much water the object has moved out of the container. The volume of the item may be calculated using the difference in water level before and after it is submerged.

Unfortunately, this approach does not work with floating objects. This is due to the fact that the item does not move the same volume of water as it does while immersed.

Water will be moved by the item, although considerably less water will be moved than by the submerged object.

Learn more about water displacement:

https://brainly.com/question/11663954

#SPJ4

The work done by gravity will be 0 since the gravitational force is perpendicular to the distance travelled by the body.

What is gravitational force?

Any two bodies will be attracted to one another by the force of gravity. There is an attraction between every thing in the cosmos, but most of the time it is too faint to be noticed due to the extreme distance between the objects. Furthermore, although the influence of gravity is weaker as objects are moved away, its range is infinite.

The gravitational force is a central force that always acts along the line connecting the centers of the two masses and only depends on the distance between the test mass and the source mass.

Only when displacement is in the direction of the force is work accomplished.

When a force is perpendicular to a displacement, no work is done.

To learn more about gravitational force, here

https://brainly.com/question/24783651

#SPJ4

The frequency of a signal traveling through a window with a thickness of 3 mm is 12270 MHz and the wavelength is 24.33 cm.

The distance between two successive peaks or troughs of a wave is referred to as its wavelength.

The formula f = c /λ, where f is the frequency, c is the speed of light, and λ is the wavelength, relates a wave's frequency to both its wavelength and speed.

When a signal enters glass, its speed slows and its wavelength lengthens because glass has a slower rate of light propagation than air. We require knowledge about the glass's refractive index in order to compute the new wavelength and frequency. The new speed of light in the glass would be c/1.5 assuming that the refractive index of the glass is 1.5.

The new wavelength in the glass is given by= λ' = λ * (c / c') = λ * (c / (c / 1.5)) = λ / 1.5

The formula for the new frequency in the glass is: f' = c / λ' = c / (λ / 1.5) = 1.5 * f

As a result, the frequency of a signal traveling through a window with a thickness of 3 mm would be 1.5 * (8.18 x 109 Hz) = 12.27 x 109 Hz = 12.27 GHz *1000 = 12270 MHz.

The wavelength of the signal would be (λ/1.5) = (36.5 cm) / 1.5 = 24.33 cm as it passes through the 3 mm thick window glass into your room.

To know more about wavelength, visit:

https://brainly.com/question/12924624

#SPJ4

It is better to land with the knees bent while leaping from a substantial height since it prolongs the time it takes to halt, lessens the impact, and causes less pain.

The equation for impulse-momentum:

Δp = F Δt

Where,

Δp = momentum

F = force

t = time

The equation is referred to as the impulse-momentum theorem. The impulse is defined as the average net external force multiplied by the time it takes for that force to act. It is comparable to the shift in momentum. The strength, duration, and length of action of a force all have an impact on how it affects an object. The idea of impulse is useful since it measures the effect of a force. A strong force operating quickly, as the force of a tennis racket striking the ball, can have a considerable impact on an object's momentum.

Learn more about momentum here: https://brainly.com/question/30397428

#SPJ4

The velocity of the ball is 19.6 m/s and when the ball lands, it is moving at a speed of 77.134 m/s.

All objects with mass are subject to gravity, which is a fundamental force of nature. It is the force that pulls everything toward the core of a planet or other entity.

(a) The equation can be used to determine the velocity of a dropped ball.

v = v0 + a * t

where a is the acceleration caused by gravity (9.8 m/s2), v0 is the beginning velocity (0 in this case because the ball is dropped from rest), and t is the amount of time that has passed.

Therefore, if t = 2 seconds, the ball's velocity at that time would be:

v = 0 + 9.8 * 2 = 19.6 m/s

(b) The ball's final velocity is identical to its velocity when it lands. The following equation can be used to determine how long it takes the ball to touch the ground:

t = √(2h / a)

where a is the acceleration brought on by gravity (9.8 m/s2) and h is the height (in this case, 300 m) from which the ball is dropped.

Thus, the duration of time required for the ball to touch the ground is:

t = √(2 * 300 / 9.8) = √(600 / 9.8) = √(61.22) = 7.83 s

The formula: can be used to determine the ball's velocity when it lands.

v=v0 + a*t = 0 + 9.8 * 7.83 = 77.134 m/s

So, when the ball lands, it is moving at a speed of 77.134 m/s.

To know more about gravity, visit:

https://brainly.com/question/14874038

#SPJ4

The statement "the moisture content of the air in different locations of the country must be taken into account when selecting air conditioning equipment" is true because moisture affects the performance.

The selection of the conditioning equipment must take into account the differences in humidity between the two locations (different sections of the country). The conventional copper tube-aluminum fin coil transfers heat more slowly than the all-aluminum coil.

The general rule of thumb is that for every 20°F increase in temperature, saturated air's ability to store twice as much moisture increases. The moisture retention capacity of air at 50°F is 0.0077 lb H2O/lb dry air, which is a little over twice as much as that of air at 30°F, which is 0.0035 lb H2O/lb dry air.

You can also learn about humidity from the following question:

https://brainly.com/question/22069910

#SPJ4

Answer:

triangle if q1 = 4.1 μC , q2 = 3.4 μC , q3 = -3.5 μC ?

A car is traveling southward as its speed decreases from 18 m/s to 12 m/s have an acceleration that is directed due north.

What is acceleration?

If an object's velocity changes, it is said to have been accelerated. An object's velocity can alter depending on whether it moves faster or slower or in a different direction. A falling apple, the moon orbiting the earth, and a car stopped at a stop sign are a few instances of acceleration. Through these illustrations, we can see that acceleration happens whenever a moving object changes its direction or speed, or both.

Since the speed is decreasing, the acceleration will be in the opposite direction hence option c.

To learn more about Acceleration, here

https://brainly.com/question/12550364

#SPJ4

The true weight of the goods being marked up by 8.3% by the shopkeeper.

A bending moment is the reaction that occurs in a structural element as a result of an external force or moment that causes the element to bend, as defined by solid mechanics. The beam is the most prevalent or most basic structural component that experiences bending moments.

Calculated the bending moment about the balance:

P₁(33.6 + 1.35) = P₂ ( 33.6 - 1.35)

P₂ = 1.083 P₁

Hence, percentage change = (P₂-P₁)/P₁ × 100% = 8.3 %

So, the true weight of the goods being marked up by 8.3% by the shopkeeper.

Learn more about bending moment here:

https://brainly.com/question/806995

#SPJ1

The potential at P is now if twice as much of this charge is uniformly distributed on the surface of a hollow sphere with a radius of 4r and a centre at point A.

Sphere, The collection of points in three dimensions that are all the same distance from the centre (the radius) or the outcome of rotating a circle around one of its diameters.

Because there is no field inside the shell, the potential there is always the same as the potential outside the shell.

They are round, just like the Earth, which is why they are called spheres. The four spheres are the atmosphere, which contains all the gases that surround Earth, the hydrosphere, Which contains all the water on Earth.

Therefore, A sphere's parts and characteristics are comparable to those of a circle.

Learn more about electric potential here:

https://brainly.com/question/12645463

#SPJ4

The time taken before S-wave arrives is 3.33 seconds.

The time taken before S wave arrives is calculated by applying the following equation.

Let the time taken for P-wave = t₁

Let the time taken for S-wave = t₂

The time taken for P-wave, t₁ = ( 25,000 m ) / ( 5000 m/s )

t₁ = 5 s

The time taken for S-wave, t₂ = ( 25,000 m ) / ( 3,000 m/s )

t₂ = 8.33 s

The time taken before S-wave arrives = 8.33 s - 5 s = 3.33 s

Learn more about P-wave and S-wave here: https://brainly.com/question/19236280

#SPJ1

The complete question is below:

An earthquake 25 km from a city produces P and

S waves that travel outwards at 5000 and

3000 m/s, respectively. how much time do they have before the S wave arrives?

Gravity is the only force that is active. The overall mechanical energy is preserved since it is an inner or conservative force. As a result, each location has the 100 J of initial mechanical energy. So, 50 J is the KE for A.

The KE is 50 J because the PE at the exact same stairstep is Fifty J (C) (D).

The PE is 0 J at zero height (F and I). As a result, there is 100 J of velocity just at bottom of the hill (G and J).

The velocity may be calculated as 7.07 m/s for B and E as well as 10 m/s for H and K using the formula KE = 0.5*m*v2.

The answers provided here for the speed numbers are based on the assumption that 100% of the ball's kinetic energy is present as translational kinetic energy. The kinetic energy really would take some of the form of rotating kinetic energy. The real speed figures would thus be a little bit lower than those reported. (Torque and angular velocity is not covered in this tutorial for the physics classroom.)

To know more about gravity visit:

https://brainly.com/question/14874038

#SPJ1

Current is the rate at which charge passes a certain place in the wire.

Thus option D is correct.

What does the term "electric current" mean?

The rate of electron passage in a conductor is known as electric current. The ampere is the electric current's SI unit. Electrons are little particles that are part of a substance's molecular structure. These electrons can be held loosely or securely depending on the situation.

Electric current in a wire, where electrons serve as the charge carriers, is a measurement of the amount of charge that moves through any point of the wire in a given amount of time. Electric charge motion is occasionally reversed in alternating current but not in direct current.

To learn more about Electric current use link below:

https://brainly.com/question/1100341

#SPJ4

Complete question:

Current is defined (mathematically) by the equation I is equal to start fraction delta Q over delta t end fraction (for average current) or I is equal to start fraction dQ over dt end fraction (for instantaneous current, using calculus). Using whichever definition you are comfortable with, when considering current in a wire, this can be stated (conceptually) as which of the following?

A. Current is distance times charge (d times Q) divided by distance times time (d times t).

B. Current is the amount of charge in a wire, divided by the time it takes to fill the wire with charge.

C. Current is the rate at which the total charge within the wire is changing.

D. Current is the rate at which charge passes a certain place in the wire.

Answer:

So the answer is C: 2 Ω.

Explanation:

The equivalent resistance of a parallel circuit is given by the formula:

1/R_equiv = 1/R1 + 1/R2 + ... + 1/Rn

In this case, there are 5 resistors each with a resistance of 10 ohms, so:

1/R_equiv = 1/10 + 1/10 + 1/10 + 1/10 + 1/10 = 5/10 = 0.5

And the equivalent resistance is:

R_equiv = 1 / 0.5 = 2 ohms

So the answer is C: 2 Ω.

According to the statement, the mass of the ice block is38.1 kg.

The mass of the block of ice can be calculated using the equation F=ma, where F is the applied force, m is the mass of the block, and a is the acceleration.

Assuming the force is constant, the acceleration can be calculated by dividing the distance moved (11.0 m) by the time taken (5.30 s) to get an acceleration of 2.08 m/s². Then the mass of the block can be calculated by dividing the force by the acceleration, giving a mass of 38.1 kg.

A constant horizontal force is a force that is applied in a straight line parallel to the ground and does not change in magnitude or direction. This type of force is typically applied to an object that is already in motion, such as a rolling ball or a sliding box, and keeps it moving in a straight line.

Complete questions:

A dockworker applies a constant horizontal force of 79.0 n to a block of ice on a smooth horizontal floor. the frictional force is negligible. the block starts from rest and moves a distance 11.0 m in a time of 5.30 s. What is the mass of the block of ice?

Learn more about constant horizontal force:

https://brainly.com/question/29462876

#SPJ4

To compute [tex]2^3[/tex], the function first calls itself with [tex]n=2,[/tex] which computes[tex]2^2 = 4[/tex]. Then, the function doubles this result to get [tex]2^3 = 8.[/tex]

Here is the pseudo-code for the pow2 function:

function pow2(n):

   if n < 0:

       return -1

   if n == 0:

       return 1

   else:

       prev_power = pow2(n-1)  # Compute 2^(n-1) recursively

       return prev_power * 2   # Double the result to get [tex]2^n[/tex]

The base case for the recursion is when n is 0, in which case the function returns 1 since [tex]2^0 = 1.[/tex]

The function recursively calls itself with smaller values of n until it reaches the base case. The recursive calls build up the power of 2 by doubling the previous power.

To know more about Recursive Function, here

https://brainly.com/question/30027987

#SPJ4

Based on the given figure, for a radiating source at rest, the way waves detected by Observer A compared to those detected by Observer B is that Observer A detects the same wavelength and the same frequency.

The Doppler effect, also called Doppler shift refers to an apparent change in frequency of a wave in relation to an observer. The principle is named after the Austrian physicist Christian Doppler, who described the phenomenon in 1842.

In the given case, a radiating source at rest with respect to an observer produces a series of wave crests that propagate outward. The waves spread out evenly in all directions as shown in the figure. The crests are separated by a distance, λ, where λ is the wavelength.

The observer located in the at point A will see the waves coming evenly, one wavelength apart. The observers located anywhere else would see the same thing. Hence, Observer A will detect the same wavelength and frequency as Observer B.

Learn more about Doppler effect:

https://brainly.com/question/13047678

#SPJ4

A spaceship is a machine or vehicle built to travel through space.

Spacecraft are a form of artificial satellite used for a wide range of tasks, such as communications, Earth observation, meteorology, navigation, space colonization, planetary exploration, and cargo and person transfer.

A spacecraft that is performing a sub-orbital spaceflight launches into space and then lands without gaining enough momentum or energy to complete a full orbit of the Earth. Spacecraft enter confined orbits around the Earth or other celestial bodies for orbital spaceflights.

Only humans are carried on human spacecraft either as crew or guests from launch or while in orbit (space stations).

Therefore, A spaceship is a machine or vehicle built to travel through space.

To learn more about Spacecraft, refer to the link:

https://brainly.com/question/3095568

#SPJ1

The temperature change at the two conditions will be at the leading edge will be 20°C and at the end of the board will be 45.64°C.

The movement of heat across the border of the system due to a difference in the temperature between the system and the surroundings.

Board size = 15 cm × 15cm,

Power = 15W,

Temperature of cooled Air: 20°C, and velocity is 5 m/sec.

Firstly, take some value from Standard Air table, at pressure. Suppose That The film Temperature of the is 35°, at this temperature. and pressure.

K = 0.0265 w/m²c (Thermal conductivity)

V = 1.655 × 10⁻⁵ m²/sec (kinematic viscosity)

and Pr = 0.7668 ( pr and t' Number)

According To The Nusselt. Number Equation,

NVx = hxX / k

Here, x = heat transfer from the edge distance which is 0, 30

hx = ∞

So, express the Surface Temperature at the end board by using the equation

Q = hx. Ax (Ts, T∞)

Q/ hx. As = (Ts-T∞)

Ts = Q/hx. As + T∞

Put all the values in this equation, like, P = 15W, T= 20°C, hx = ∞

So,

Ts = 15/∞As + 20

Ts = 20°C

The Temperature of surface at the leading edge = 20°C

At the end of the board. Assume The flow to be turbulent since the electronic components. turbulators.

So,  firstly determine The Reynolds Number equation, and

Rex = Vx/ u

Re = 5 × 0.15/ 1.655 × 10⁻⁵

Re = 45317.22

which is less than 3x 10⁵, so The flow is laminar flow at the surface.

again from The Relation of pr and t' Number, Reynolds. Nusselt number.

NVx = [tex]0.030s (Re)^(0.8)[/tex] [tex](pr)^(1/3)[/tex]

Put all the values in this equation

NVx = 0.0308 × 5308.97 × 0.90005

NVx = 147.1728

So, determine equation the heat transfer coefficient by using Relation.

here, x = 0.15m, consider.

hx = NVxK/ x

hx = 147.1728 × 0.0265/ 0.15

hx = 26.00

Area = 0.0225 m²

Q = hx. As (Ts - T∞)

Put all the values in equation,

Ts - 20 = 25.64

Ts = 45.64°C

Learn more about Heat transfer here:

https://brainly.com/question/13433948

#SPJ9

The statement "The definition of boundary layer refers to the region of flow in which both the temperature gradients are significant and frictional effects are important" is true because when a fluid is in direct contact with a solid surface and its temperatures are different, a thermal boundary layer forms.

As long as the temperatures of the solid surface and the fluid are different, a thermal boundary layer forms when a fluid is in direct contact with the solid surface, according to the classical theory of heat transfer. In fluid mechanics, a boundary layer is a thin layer of a moving gas or liquid in contact with a surface, like the inside of a pipe or the wing of an airplane. Shear forces act on the fluid in the boundary layer.

You can also learn about temperatures from the following question:

https://brainly.com/question/11464844

#SPJ4

92.16 lb is the magnitude of the weight that can be supported by the right side of the jack.

Hydraulic jacks are devices that leverage applied force to generate a larger force. In this case, a 25 lb force is applied to the left side of the jack with a square cross-section of side d = 2.5 in.

The right side of the jack is also square with a cross-section of side D = 10 in and has a difference in elevation of 2.4 ft.

To calculate the magnitude of weight, W, that can be supported by the right side of the jack, we need to calculate the pressure due to the hydrostatic force on the vertical side of the jack.

This vertical side is a rectangular shape of height Htot = 2.6 ft and length D = 10 in. Taking into account the specific gravity of the oil in the jack as soil = 0.8, the hydrostatic pressure on the vertical side is equal to the difference in elevation multiplied by the weight of the oil.

W = 2.4 ft x 0.8 x 62.4 lb/ft³ = 92.16 lb. This is the magnitude of the weight that can be supported by the right side of the jack.

Learn more about the hydrostatic pressure forces:

https://brainly.com/question/13709946

#SPJ4

The gap the boat travels earlier than slowing down is 2.303m/[tex]αe^2[/tex] v0 ln(10)

The equation of movement for the boat is given through:

m dv/dt = -[tex]αe^2v[/tex]

in which m is the mass of the boat, v is the rate of the boat, and α is a steady that relies upon at the residences of the water.

To resolve for the rate of the boat as a feature of time, we are able to separate the variables and combine each facets of the equation:

[tex]m \int\limits v0^v dv / (v*√(1/v)) = -αe^2 ∫ zero^t dt[/tex]

Simplifying the left-hand aspect the usage of the substitution u = 1/v and [tex]du = -dv/v^2[/tex], we get:

[tex]-m ∫ 1/v0^1/v du = -αe^2 t\\-m ln(v/v0) = -αe^2 t\\ln(v/v0) = αe^2 t / m\\v(t) = v0 * e^(-αe^2 t / m)[/tex]

To discover the time at which the boat stops, we are able to set v(t) identical to 0 and resolve for t:

[tex]v(t) = v0 * e^(-αe^2 t / m) = zero\\e^(-αe^2 t / m) = zero\\-αe^2 t / m = -∞\\t = ∞[/tex]

v = zero.1v0 We can resolve for t in this example through putting v(t) = zero.1v0:

[tex]v(t) = v0 * e^(-αe^2 t / m) = zero.1v0\\e^(-αe^2 t / m) = zero.1\\-αe^2 t / m = ln(zero.1)\\t = -m/αe^2 ln(zero.1)[/tex]

Finally, to discover the gap the boat travels earlier than it slows down, we are able to combine the rate equation from v0 to zero.1v0:

∫ [tex]x0^x dt = ∫ zero^t v(t) dt[/tex]

in which x0 is the preliminary function of the boat. Substituting for v(t), we get: ∫[tex]x0^x dx / v(x) = -m/αe^2 ln(zero.1)[/tex]

Using the substitution u = v/v0, we get: ∫ [tex]1^zero.1 du / u = -m/αe^2[/tex]ln(zero.1)

[tex]ln(10) = -m/αe^2 ln(zero.1)\\x - x0 = -m/αe^2 ln(zero.1) * ln(10) / v0\\x - x0 = 2.303m/αe^2 v0 ln(10)[/tex]

Therefore, the gap the boat travels earlier than slowing down is 2.303m/[tex]αe^2[/tex] v0 ln(10). 

To know more about speed visit:

https://brainly.com/question/13162890

#SPJ4

E=1/2 mv^2

E=1/2 22x(8,2)^2

E=739,64

Considering the motion of the two balls:

The projectile's displacement horizontally as a result of velocity is shown by the horizontal velocity component (vx).

The projectile's displacement vertically as a result of velocity is shown by the vertical velocity component (vy).

Learn more about horizontal and vertical velocities at: https://brainly.com/question/20349275

#SPJ1