The phenomenon taking place here is the interference of light.
We can see the interference-induced formation of two distinct regions in the given figure.
A region has alternating black and white patches. It represents constructive interference.
The other zone is just monotone gray as shown in the figure below. It represents destructive interference.
Now, we need to predict the brightness of the light at points 1, 2, and 3 on the screen.
We can see that point 2 is located in a region of destructive interference. So, we will see an area with zero brightness i.e. a black area on the screen.
Points 1 and 3 are located in the zone of constructive interference. So, we will see an area with high brightness on the screen.
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identify the true statement from the following. laminar flow is characterized by the smooth flow of the fluid in layers that do not mix. turbulent flow is characterized by eddies and swirls that mix layers of fluid together.
Both of the statements, laminar flow is characterized by the smooth flow of the fluid in layers that do not mix and turbulent flow is characterized by eddies and swirls that mix layers of fluid together are true.
In fluid dynamics, laminar flow is shown by fluidic particles flowing smoothly in layers, with each layer moving smoothly past the adjacent layers with very less or no mixing. At low rate of displacements, the fluid starts to flow without any mixing, and adjacent layers slide past upon one another. And a turbulent flow is type of fluid flow where the fluid undergoes irregular fluctuations, or mixing with different layers.
Hence, both the statements are true.
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a small grinding wheel is attached to the shaft of an electric motor which has a rated speed of 4000 rpm. when the power is turned on, the unit reaches its rated speed in 5 s, and when the power is turned off, the unit coasts to rest in 70 s. assume uniformly accelerated motion determine the number of revolutions that the motor executes (a) in reaching its rated speed, (b) in coasting to rest.
In a uniformly accelerated motion, the number of revolutions that the motor executes in reaching its rated speed will be 48000 rev/[tex]min^{2}[/tex] and in coasting to rest will be 2333 revolutions.
(a) The acceleration experimented by the grinding wheel in reaching its rated speed can be calculated as:
The number of revolution by the wheel, n = [tex]\frac{(4000 - 0) rev/min}{(5/60) min}[/tex]
So, n = 48000 rev/[tex]min^{2}[/tex]
Now, the number of revolutions completed by the grinding wheel in the period of time can be calculated as:
n = [tex]\frac{(4000^{2} rev/min) - (0^{2} rev/min)}{2. (48000 rev/min^{2}) }[/tex]
So, n = 166.66 or 167 revolutions (approximate value)
(b) The acceleration experimented the grinding wheel in coasting to rest while in a circulatory motion can be calculated as:
n = [tex]\frac{(0 - 4000) rev/min}{(70/60) min}[/tex]
So, n = - 3429 rev/[tex]min^{2}[/tex]
Now, the number of revolutions done by grinding wheel in that period of time will be:
n = [tex]\frac{(0^{2} rev/min) - (4000^{2} rev/min)}{2. (-3429 rev/min^{2}) }[/tex]
Or, n = 2333 revolutions
Hence, in reaching its rated speed the number of revolution made by the grinding wheel will be 48000 rev/[tex]min^{2}[/tex] and in coasting to rest will be 2333 revolutions.
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what is the minimum velocity necessary to throw a ball 100 feet high? how long does does it take the ballt o reach 100 feet
It takes 2.49 seconds for the ball to reach 100 feet of height.
What does velocity vs. speed mean?In contrast to speed, velocity describes the rate and direction of an object's motion along a path. In other words, speed is a scalar quantity while velocity is a vector.
Simply put, velocity is the rate of motion of an object in a specific direction. Using a car driving north on a highway as an example, or a rocket after it has launched, as an example of speed. Scalar implies that the velocity vector's absolute value magnitude will always equal the motion's speed.
Using equation,
100 feet = 30.48m
v² = u² + 2as
v² = 0+2×9.8×30.48
v² = 597.40
v = 24.44m/s
v= u +at
24.44 = 0+9.8t
t = 24.44/9.8
t =2.49seconds.
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in this problem, take atmospheric pressure to be 1.0 105 pa, and the density of water to be 1000 kg/m3. use g
Because hydrostatic pressure depends on the liquid's density and depth, the pressure at physics bottom of an element fully or partially submerged is higher than at the top.
What is an illustration of pressure?Definition of pressure: Pressure is the usual force per unit area acting on a body's surface. In other words, pressure is the distribution of force throughout a space. Examples of stress include the support provided by the air pressure in a car tire and drinking via a straw.
We measure pressure because ?The determination of a particular chemical pressure is crucial to the production process in many different industries. The consistency and quality of the product must be evaluated, thus it is essential to get exact data.
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When an object is thrown straight up with no air resistance, what is the velocity at the highest point before it falls down?.
Answer: The answer to that would be zero (0) velocity.
I hope this helps!!!
which type of hose stream is created by specialized nozzles such as cellar nozzles, piercing nozzles, or chimney nozzles?
Answer:broken stream
Explanation:
A 60 g tennis ball with an initial speed of 32 m/s hits a wall and rebounds with the same speed.The figure below shows the force of the wall on the ball during the collision. What is the value of Fmax, the maximum value of the contact force during the collision?
(img)
The value of Fmax, the maximum value of the contact force during the collision is 3.84 and fmax = 960 N.
Friction. Friction is a pressure which fits withinside the contrary path to the path of movement while an item is on a difficult surface. The most or proscribing fee of friction among surfaces is FMAX=μR F MAX = μ R wherein μ is the coefficient of friction and R is the everyday response among the 2 surfaces.
Here the mass = 60 g tennis ball
[tex]with an initial speed of 32 m/s Vc\\Pi = m×v= pf = - mv\\Δp= mv - (m)\\2mv\\2 × 0.06 × 32\\3.84\\J = 1/2 × (2 +6) ×vf max\\J / 4 = f max\\f = J/4\\J = ΔP = 960 N\\F max = 960 N[/tex]
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It takes the elevator in a skyscraper 4. 0 s to reach its cruising speed of 10 m/s. A 60 kg passenger gets aboard on the ground floor.
Before the elevator starts moving, the weight is 588 N; during acceleration, it is 738 N; and at cruising speed, it is 588 N.
State A: Just before the elevator moving.
At first, the 60 kg passenger's weight equals (60 kg)*(9.8 m/s2) = 588 N.
The elevator speeds up from state A to state B
Between states A and B, there is an acceleration of
a=10 m/s/(4 s) = 2.5 m/s2
The passenger is subjected to an inertial force of (60 kg)*(2.5 m/s2) = 150 N.
The passenger's actual weight is 588 + 150, which is 738 N.
Following state B: dynamic stability
Following state B, the elevator runs continuously while the passenger is in a condition of dynamic balance.
Thus, the weight of the passenger is 588 N.
Before the elevator starts moving, the weight is 588 N; during acceleration, it is 738 N; and at cruising speed, it is 588 N.
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Complete Question :
It takes the elevator in a skyscraper 4.0 s to reach its cruising speed of 10 m/s. a 60 kg passenger gets aboard on the ground floor. determine the passenger's weight, before the elevator starts moving, while the elevator is speeding up, and after the elevator reaches its cruising speed.
the cold water would be found . group of answer choices near the poles west side of the landmasses east side of the landmasses in the center, the center yellow dash line, the equator both a and b both c and d both a and c both b and d
The cold water would be found near the poles and west side of the landmasses.
The cold water would be found near the poles and west side of the landmasses in higher latitudes, this is due to upwelling of cold water. While warm water is found at equator region and east margin of continent in lower latitudes.
Upwelling is a process in which deep, cold water rises toward the surface. Winds blowing across the ocean surface often push water away from an area. When this occurs, water rises up from beneath the surface to replace the diverging surface water.
Therefore, the cold water would be found near the poles and west side of the landmasses.
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As the cloud shrinks in size, its central temperature _______ as a result of _______.
Blank 1: increases
Blank 2: gravitational potential energy being converted to thermal energy
As the cloud shrinks in size, its gravitational potential energy decreases. Because energy cannot simply disappear, the "lost" gravitational potential energy must be converted into some other form. Some of it is converted into thermal energy, which raises the temperature of the gas cloud. The rest is mostly converted into radiative energy, which is released into space as light.
As the cloud shrinks in size, its central temperature increases as a result of gravitational potential energy decreases.
Temperature is the measure of hotness or coldness expressed in phrases of any of several scales, together with Fahrenheit and Celsius. Temperature indicates the path in which warmness electricity will spontaneously drift—i.e., from a warmer frame (one at a better temperature) to a chillier frame (one at a decreased temperature).
In chemistry, we define the temperature of a substance as the common kinetic power of all of the atoms or molecules of that substance. now not all the debris of a substance has identical kinetic energy. At any given time, the kinetic power of the debris can be represented by means of a distribution.
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What i the wavelength of an electromagnetic wave that ha a frequency of 60,000,000 Hz)
The wavelength is 5.666m.
What is wavelength?
The separation between any two points in a wave and those same points in the subsequent wave cycle. This can be from crest to crest, from trough to trough, from null to null, etc.
What is electromagnetic wave?
The vibrations between an electric field and a magnetic field produce electromagnetic waves, often known as EM waves. In other words, electromagnetic waves are created when magnetic and electric fields oscillate.
Frequency =60,000,000 Hz. As the speed of sound in air = 340 m/s, therefore, wavelength = speed/frequency = 340/60,000,000 = 5.666m.
Therefore, wavelength is 5.666m.
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Shrinking Loop. A circular loop of flexible iron wire has an initial circumference of 160cm , but its circumference is decreasing at a constant rate of 15.0cm/s due to a tangential pull on the wire. The loop is in a constant uniform magnetic field of magnitude 0.800T , which is oriented perpendicular to the plane of the loop. Assume that you are facing the loop and that the magnetic field points into the loop.Part AFind the magnitude of the emf E induced in the loop after exactly time 9.00s has passed since the circumference of the loop started to decrease.Express your answer numerically in volts to three significant figures.Part BFind the direction of the induced current in the loop as viewed looking along the direction of the magnetic field.
The magnitude of the emf E is 0.0047 V, The Direction of the induced current is clockwise.
What is Emf and current?
In electromagnetism and electronics, an electromotive force is an energy transfer to an electric circuit per unit of electric charge, measured in volts. Devices called electrical transducers to provide an emf by converting other forms of energy into electrical energy.
An electric current is a stream of charged particles, such as electrons or ions, moving through an electrical conductor or space. It is measured as the net rate of flow of electric charge through a surface or into a control volume.
induced emf e = dphi /dt
so we need an expression for phi = BA = Bpi r^2
and since circumference C = 2 pi r,
we can write that as phi = BA = B* pi (C^22/4 pi^2 2)
phi = BC^2/ 4p
Therefore d phi /dt = (BC/2pi ) (dC/dt)
since we know C is a function of t.
after 8 seconds, the circumference is 160 - 9*15 = 25 cm.
= (0.8)(0.25/2*3.14) )(0.15)
Emf= 0.00477 V or 4.77 mV
-----------------------------------------------
induced current I = emf/R (direction is clockwise)
Hence, the magnitude of the emf E is 0.0047 V and the Direction of the induced current is clockwise.
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If the work required to peed up a car from 10km/hr to 2okm/hr i 5. 0 x 10^3 J, what would be the work required to increae the car peed from 20km/hr to 30km/hr
The minimum distance in which car will stop is 256m.
What is distance?
distance is the length of the space between two points.
distance is a numerical or its the occasionally qualitative measurement of how to far apart objects or points .
Sol-here we can apply Newton’s second law to the car of to determine of the maximum static friction to the force acting on the car:
€Fy=ma^y+ n-mg=0
Fs≤us mg
This maximum magnitude of static friction acts so long as the tires roll without skidding.
€Fx=ma^x-----> -fs=ma
The maximum acceleration is
a=-u^s g
The initial and final conditions are- xi=0, vi=50.0mi/h =22.4 m/s and vf =0.Then,
v^2=v^2+2a(xf-xi)---->v^2
f i I
Xf=(22.4m/s)^2/2(0.100)(9.80m/s^2)=256
Thus through the minimum distance in which car will stop is 256m.
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What happens to the gravitational force between two objects when the distance between them is halved class 9?.
If the distance between the two objects is reduced to half, the force between them will rise by four times.
The initial distance between two objects is denoted by "r," the final distance is denoted by "r/2," the masses of the two things are denoted by m1, m2, and G is the universal gravitational constant.
Initial force F1 is defined by Newton's law of gravitation,
F1 = G × m₁m₂/ r²
The final force F' = G × m₁m₂/ (r/2)²
= 4G × m₁m₂/ r²
= 4F
As a result, the force will increase four times when the distance between two objects is halved.
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Astronomers now know that surrounding the main body of our galaxy (which our various kinds of telescopes have shown to us) and our fainter halo of stars there is:________.
Astronomers now know that surrounding the main body of our galaxy (which our various kinds of telescopes have shown to us) and our fainter halo of stars there is: a spherical halo of dust and gas.
What is milky way?
There are many stars, grains of dust, and gas in the Milky Way. It is known as a spiral galaxy because, from the top or bottom, it would appear to be whirling like a pinwheel. About 25,000 light-years from the galaxy's nucleus, the Sun is situated on one of the spiral arms. The Milky Way's center would take you about 25,000 years to reach, even if you could move at the speed of light (300,000 km/s, or 186,000 mph).
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a resonant tank circuit consists of a 20 mh coil operating at a frequency of 950 khz. what is the inductive reactance of the coil?
Answer:
Inductive resistance of the coil 120 kΩ
Explanation:
Given:
L = 20 mH = 0.020 H - Coil inductance
f = 950 kHz = 950 000 Hz - Frequency
______________
XL - ? Inductive resistance of the coil
XL = 2·π·f·L
XL = 2·3.14·950000·0.020 ≈ 120 000 Ω or XL = 120 kΩ
alpha particles are emitted in nuclear decay processes with typical energies of 5 mev. in analogy with example 4.9, determine the range of kinetic energies of an alpha particle trapped in a nucleus-sized region and deduce whether the alpha particle can exist inside the nucleus.
The range of kinetic energies of an alpha particle is 2.5 MV
The energy of alpha particle is E=4.8MeV
For alpha particles,
⇒ E = 2eV
⇒ V = 2eE
V = (5 × 10⁶ × 1.6 × 10⁻¹) ÷ (2(1.6 × 10⁻¹⁹))
V = (5 × 10⁶) ÷ 2
V = 2.5 × 10⁶
⇒ V = 2.5 MV
What is alpha particle?The composite alpha particle is made up of two protons and two neutrons that are firmly bonded together. They are released from the nucleus of some radionuclides during an alpha-decay process, a kind of radioactive decay.
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two children of mass 23 kg and 37 kg sit balanced on a seesaw with the pivot point located at the center of the seesaw. if the larger child sits a distance of 3.8 m from the pivot, then at what distance from the pivot point is the small child sitting in order to maintain the balance?
2.3 m is distance from the pivot point is the small child sitting in order to maintain the balance.
M1R1=M2R2
R2=M1R1/M2
R2=23×3.8÷37
R2=2.3 m
Distance is the length between two points or things, and it is directionless. Since distance is a scalar property, it only takes into account the total magnitude and ignores the start and finish locations. Being a scalar attribute, distance can only be positive or zero; it cannot be the opposite.
Although kilometers (km) and centimeters (cm) or millimeters (mm) can also be used to express shorter distances, the meter (m) is the most common unit of measurement for distance (mm). When calculating distance, the letter D is frequently used to denote the distance traveled.
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the bolts on a car wheel require tightening to a torque of 90 nm. if a 30 cm long wrench is used, what is the magnitude of the force required when the force applied at 53 degrees to the wrench?
To resolve the issue, we'll apply the moments' principle. According to the question, the wrench must exert 90 Nm of torque on the bolt. The angle at which the force acts (53o to the wrench) and the length of the lever arm (30 cm) are provided.
Before moving on to the computations themselves, a conversion. The wrench's length is specified in centimeters, which must be converted to meters:
30cm=30×10−2m=0.30m
Get an expression for the vertical component of the force now using trigonometry. The equation is Fv=Fsin53 since the vertical component is the reverse of the 53o angle.
The vertical component of the force is multiplied by the lever arm to produce the moment of the force (0.30 m).Keep in mind that the force must produce a 90 Nm torque, which I will enter on the left-hand side of the equation.
Calculation:
\s90=Fv⋅0.30=Fsin53⋅0.30
F=90sin530.30=375 N=376N, rearrange for F, and solve.
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TRUE/FALSE. cross-sectional surveys can be used to establish baseline data prior to the initiation of longitudinal studies.
Answer: true
Explanation:
When a comet is within the inner solar system, its visible tails point __________.
When a comet is within the inner solar system, its visible tails point away from the Sun.
What is the Sun?The Sun can be defined as an astronomical (celestial) body that is typically found within the solar system around which planetary (astronomical) bodies orbit, and whose light shines on planet Earth to differentiate day and night.
What is a comet?In Astronomy, a comet can be defined as the cosmic, small snowballs of volatile frozen gases, dust, and rock that are orbiting the Sun. This ultimately implies that, comets comprises a small body of volatile ices that are in orbit around the Sun.
Based on astronomical records and information, the visible tail of a comet points way from the Sun when it is within the inner solar system.
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an aircraft is spotted by two observers who are 1000 feet apart.as the airplane passes over the line joining them, each observer takes a sighting of the angle of elevation to the plane, as indicated in the figure. how high is the airplane?
The height of the airplane is 335.17 ft.
Let PQ be the base, AB be the vertical distance from the ground to the aircraft.
One observer is standing at P and the angle of inclination from P to A is 50°.
Another observer is standing at Q and the angle of inclination from Q to A is 25°.
We know that, PB + BQ = 1000 ft
PB = 1000 - BQ -----(1)
When we consider a triangle PAB, Tan 50° = AB/PB
AB = PB Tan 50° ------(2)
Consider the triangle ABQ, Tan 25° = AB/BQ
AB = BQ Tan 25° ------(3)
Equating (2) and (3) we have,
PB Tan 50° = BQ Tan 25° -----(4)
Substitute (1) in (4), we get,
(1000 - BQ) Tan 50° = BQ Tan 25°
1000 Tan 50° - BQ Tan 50° = BQ Tan 25°
BQ (Tan 25° + Tan 50°) = 1000 Tan 50°
BQ = 1000 Tan 50°/ (Tan 25° + Tan 50°)
BQ = 718.76 ft
PB = 1000 - 718.76 = 281.24 ft
AB = PB Tan 50° = 281.24* Tan 50° = 335.17 ft
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A steel beam hangs from a cable as a crane lifts the beam. What forces act on the beam?.
The forces that act on the beam are gravity and tension in the cable .
Gravity can be defined as the force that exists almost among all material objects that exist in the universe . Gravity is operating among objects of all sizes starting from subatomic sized particles to clusters of galaxies .It is the force that causes the free fall of an apple from the tree on the ground and also the movement of planets around the sun .
Tension can be defined as a force along the length of a medium , the force here is especially carried by a flexible medium such as a rope or a cable . The SI unit of tension is Newton per meter .
The forces that act on the beam are gravity and tension in the cable .
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using this information, determine the moment of inertia i of the wheel about its axle. please be sure your work is clear. [hint: various unit conversions need to be done before you can do numerical calculations
The supplied statement indicates the wheel's rotational angular velocity.
What, for example, is velocity?The rate at which something goes in one direction or another is referred to as its velocity. as swiftly as a car traveling north on a highway or the speed of a rocket taking flight. The magnitude of the velocity vector's absolute value will always be equal to the motion's speed because it is a scalar.
Can velocity reverse itself?An object's velocity is the rate at which its position changes over time (displacement). While velocity, which incorporates both speed and direction, can be either favorable or unfavorable, speed can only be good.
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A solid cylinder of mass m and radius R has a string wound around it. A person holding the string pulls it vertically upward, as shown, such that the cylinder is suspended in midair for a brief time interval Δt and its center of mass does not move. The tension in the string is T, and the rotational inertia of the cylinder about its axis is ½ MR2.
1. The net force on the cylinder during the time interval Δt is
A: T-mgR
B: mgR-T
C: mg
D: zero
The linear acceleration of the person's hand during the time interval Δt is
A: 2g
B: T/m-g
C: T/m
D: g/2
(1) The net force on the cylinder during the time interval Δt is zero.
option D is the correct answer.
(2) The linear acceleration of the person's hand during the time interval Δt is a = T/m - g
option B is the correct answer.
What is the net force on the cylinder during the time interval Δt?
The net force on the cylinder during the time interval Δt is determined by summing all the forces acting on the cylinder at the given time interval.
F(net) = upward force - downward force
F(net) = T - W
F(net) = T - mg
where;
T is the tension in the string pulled upwardW is the weight of the cylinder acting downwardm is the mass of the cylinderg is acceleration due to gravityIf the cylinder is suspended in mid air for a brief time interval Δt and its center of mass does not move, then the net force must be equal to zero.
F(net) = T- mg = 0
The linear acceleration of the person's hand during the time interval Δt is calculated as follows;
T - mg = ma
mg + ma = T
ma = T - mg
a = (T - mg)/m
a = T/m - mg/m
a = T/m - g
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what is the total work wfric done on the block by the force of friction as the block moves a distance 7.00 m up the incline?
The block's kinetic energy remains unchanged because it is travelling at a constant pace.
Work is the change in kinetic energy, and since there has been no change, there has been no work done on the block.
What Is Work?
A force must be applied in order to produce work, and there must also be motion or displacement in the force's direction.
The amount of work performed by a force acting on an item is equal to the force's magnitude times the distance travelled in the force's direction.
What is the formula for work done?
The work W is equal to the force f multiplied by the distance d, or W = fd, to mathematically describe this idea.
The work done is given by W = fd cos if the force is applied at an angle of to the displacement.
Therefore, here, the total work will be the product of the frictional force and distance that is 7m.
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In a certain viscous ( SAE 30), incompressible flow field with zero body forces the velocity components are
u=ay - b(cy-y^2); V= W= 0;
where a = 5; b = 779 [1/(s m)], and c are constant. Use the Navier - Stokes equations to determine an expression for the pressure gradient in the x direction [Pa/m].
An expression for the pressure gradient in the x direction a - bc = 0,c = - 0.006418.
As given ρ = c
Momentum in x,
ρ [tex]\frac{du}{dt}[/tex] = ρ gx - [tex]\frac{dp}{dx}[/tex] + μ ([tex]\frac{d^2u}{dy^2}[/tex] + [tex]\frac{d^2u}{dy^3}[/tex] + [tex]\frac{d^u}{dz^2}[/tex])
u = ay - b(y - [tex]y^{2}[/tex])
dp/dx = 2bμ
T = 0, du/dy = 0
a - bc = 0
c = - 0.006418
The pressure gradient, which is a physical term used in atmospheric science to indicate the direction and rate at which pressure rises most quickly around a certain site, is normally defined as being of air, although it can also more broadly refer to any fluid momentum. Pascals per meter (Pa/m) is a dimensional unit used to express the pressure gradient. The gradient of pressure as a function of position is what it is mathematically referred to as. The force density is the name for the negative gradient of pressure.
Pressure gradients in petroleum geology and petrochemical sciences relevant to oil wells, and more especially in hydrostatics, refer to the gradient of vertical pressure in a column of fluid within a wellbore and are often stated in pounds per square inch per foot (psi/ft)
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a car is moving toward the east at 50 km/h while it also moves to the north at 25 km/h . how fast is the car traveling?
The car is travelling at 56km/h.
Calculation:
Given:
Velocity of car in east ([tex]V_{e}[/tex])= 50 km/h
Velocity of car in north ([tex]V_{n}[/tex]) = 25km/h
So, [tex]V_{net}[/tex] = [tex]\sqrt{Ve^{2} + Vn^{2} }[/tex] = [tex]\sqrt{50^{2} + 25^{2} }[/tex]
= [tex]\sqrt{2500 + 625}[/tex]
= [tex]\sqrt{3125}[/tex] = 55.9 kn/h
= 56km/h
The car is travelling at 56km/h.
What is Velocity?
A vector measurement of the speed and direction of motion is what is meant by the term "velocity." Simply put, velocity is the rate of movement in one direction. Velocity may be used to calculate both the speed of a rocket launching into space and the speed of a car traveling north on a busy motorway.
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consider the diffraction pattern produced by illuminating a double slit. show answer no attempt if the spacing between the slits d is very large, what happens to the spacing between the zero intensity points?
The space between various fringes grows as the light's wavelength rises because this is a wavelength-dependent property.
The wavelength, what is it?A waveform signal's wavelength is defined as the separation among identical locations (adjacent crests) in adjacent cycles as the signal travels through space or along a wire. This length in wireless systems is typically expressed in metres (m), centimeters (cm), or millimeters (mm) (mm).
What role does wavelength play in science?Since it dictates the character of the light, the wavelengths is a crucial component. Greens light has a frequency that is distinct from both blue and red light, and it has a wavelength that is distinct from neither of them.
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A bicycle is traveling at 15 miles per hour. How many feet will it cover in 100 seconds?.
Answer:
2200 ft
Explanation:
This is a dimensional analysis question.
First, convert 15 miles to feet.
[tex]15 mi(\frac{5,280ft}{1mi})=79200ft[/tex]
Then, convert hours to seconds.
[tex]1 hr(\frac{3600s}{1hr})=3600s[/tex]
Then, use those values to rewrite [tex]\frac{m}{hr}[/tex] as [tex]\frac{ft}{s}[/tex]
[tex]\frac{79200ft}{3600s}=22\frac{ft}{s}[/tex]
Finally, multiply [tex]\frac{ft}{s}[/tex] by the target time in seconds
[tex]22\frac{ft}{s}(100s)=2200ft[/tex]
