The average frequency of the two forks will be 457 Hz.
Frequency:
In physics, frequency is the number of waves that pass a fixed point in a unit of time as well as the number of cycles or vibrations that a body in periodic motion experiences in a unit of time. When a body in periodic motion goes through a series of events or positions before returning to its initial state, it is said to have experienced one cycle or one vibration.
Average Frequency;
Mathematically,
[tex]f_{Avg}=\frac{f_{1}+f_{2} }{2}[/tex]
Given,
[tex]f_{1} = 454 Hz[/tex]
[tex]f_{2}=460 Hz\\[/tex]
Using the Average frequency formula,
[tex]f_{Avg}=\frac{f_{1}+f_{2} }{2}= \frac{454+460}{2}[/tex]
[tex]f_{Avg}=\frac{914}{2}[/tex]
[tex]f_{Avg}=457Hz[/tex]
Hence,
The average frequency of the two forks will be 457 Hz.
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Newton's third law states that any action will have a(n) _______ and ______ reaction.
Newton's third law states that any action will have a(n) equal and opposite reaction.
building a dam to produce hydro-electric power and create water storage is one way to take advantage of a common renewable resource. this produces much less pollution than a coal burning plant. water being let out of the dam also produces a lot of kinetic (movement) energy. however, building dams are not a perfect solution. what is the most likely problem related to dams?
Using the water that is both held in dams and flowing in rivers, hydropower, also known as hydroenergy, is a renewable energy source.
What kind of electricity does a dam generate when it transforms the force of the water into electrical energy?In order to generate electricity, hydroelectric power uses the force of moving water, making it a renewable energy source. Long before you switch on a light at home or at work, the hydroelectric process has already begun.
How do dams generate electricity, or more specifically, how do they transform the energy of moving water into AC power?Water must flow in order to generate power. Kinetic energy is energy that moves. The energy transforms into mechanical (machine) energy as flowing water turns blades in a turbine.
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what force must be exerted on the master cylinder of a hydraulic lift to support the weight of a 2500 kg car (a big car) resting on the slave cylinder? the master cylinder has a 1.93 cm diameter, while the slave's is 24.9 cm. 1900 n 150 n 15 n 4.1e 06 n 74 n
The force that must be exerted on the master cylinder of the hydraulic lift to support the weight of car is 147.2 N .
The Pascal's Law states that the relation between the pressure , force and area is given as :
Pressure = Force/Area ;
given that the diameter of the master cylinder is = 1.93 cm ;
so radius of master cylinder = 1.93/2 = 0.965 cm = 0.00965 m ;
the diameter of slave cylinder is = 24.9 cm ;
the radius of the slave cylinder = 24.9/2 = 12.45 m = 0.1245 m ;
Area of slave cylinder (A₁)= π(0.1245)² = 0.0486 m²
Area of the master cylinder (A₂) = π(0.00965)² = 0.000292 m² ;
given mass of the car = 2500 Kg ,
the force exerted will be : F = m*a
F₁ = 2500*9.8 = 24500 N ;
F₁/A₁ = F₂/A₂
So , 24500/0.0486 = F₂/0.000292
F₂ = (24500/0.0486)×0.000292
F₂ = 147.2 N
Therefore , the force exerted on the master cylinder is 147.2 N .
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A car advertisement states that a certain car can accelerate from rest to 30 m/s in 5 seconds. Find the car’s average acceleration. (Prefered if using KWEPA method!)
The car’s average acceleration is 6 meter/second^2.
What is acceleration?Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).
Given that: the car can accelerate from rest to 30 m/s in 5 seconds.
Hence, average acceleration of the car = change in speed/time interval
= ( final speed - initial speed)/time interval
= ( 30 m/s - 0 m/s) / 5 second
= (30/5) meter/second^2
= 6 meter/second^2.
Hence, the average acceleration of the car is 6 meter/second^2.
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true or false: we can determine if a star is moving toward or away from earth by measuring its brightness.
We can determine if a star is moving toward or away from earth by measuring its brightness.
The correct answer would be:
[tex]\fbox{False}[/tex]
what is the formula to find the volume of a sphere
what was the value of the scale factor a when the dark energy density became equal to the matter density? show your work, please.
The parameter of the dark energy equation of state is viewed as an arbitrary constant with a value falling between the range $w in [-1.5, -0.5]$, the upper and lower bounds of which are determined by recent measurements. We get scale factor approximations with better than 1% accuracy.
What's density in science?Mass of a solid substance per unit volume. The equation for density is d = M/V, where d represents density, M is mass, and V is volume. Density is often measured in grammes per cubic centimetre. Its mass per unit of volume is a measure of a substance's density. Although the sign can also represent the Latin letter D, it is most frequently used to represent density. Mass divided by volume is the formula for density in mathematics: displaystyle rho = frac mV. where V is the volume, is the density, and m is the mass.
How does density work?How much mass there is in a specific volume or area is determined by its density. The formula for determining a substance's density is to divide its mass by its volume.
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FILL IN THE BLANKS
12) When two objects interact through the gravitational force between them, the more massive one has a lower __acceleration_________ than the less massive object.
Answer: Acceleration
Explanation:
When two objects interact through the gravitational force between them, the more massive one has a lower acceleration than the less massive object.
3. A force of 70N is applied to a 10kg box with a friction force of 30N opposing it's motion. The box starts
from rest and reaches a speed of 5m/s. Determine the distance over which the force acts on the box.
The distance over which the force acts on the box, given that 70 N is applied to the 10 Kg box is 3.125 m
How do I determine the distance ?We'll begin by obtaining the acceleration of the box. Details below:
Force applied = 70 NForce of friction = 30 NNet force = Force applied - Force of friction = 70 - 30 = 40 N Mass of box = 10 KgAcceleration (a) =?Net force = mass × acceleration
40 = 10 × acceleration
Divide both sides by 10
Acceleration = 40 / 10
Acceleration = 4 m/s²
Finally, we shall determine the distance. Details below
Initial velocity (u) = 0 m/sFinal velocity (v) = 5 m/s Acceleration(a) = 4 m/s²Distance (s) =?v² = u² + 2as
5² = 0² + (2 × 4 × s)
25 = 0 + 8s
25 = 8s
Divide both side by 8
s = 25 / 8
s = 3.125 m
Thus, we can conclude that the distance covered is 3.125 m
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what is the relathion shop between perriod and frequency
Frequency is inversely proportional to the time period. That is, f = 1/T.
What is frequency?This refers to the number of waves that passes a fixed place in a given amount of time. Frequency is measured in hertz, this is equal to one event per second.
What is period, T ?
This refers to the time needed for one complete cycle of vibration to pass a given point. A period is measured in seconds.
Note: AS the frequency of a wave increases, the period of the wave decreases. Frequency and Period are in reciprocal relationships.
Mathematically :
f = 1/T
T =Total time,Period
f = Frequency
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Earth has a very strong gravitational force that can pull the objects to fall to the Earth's surface. How do satellites overcome this problem and stay in its orbit?
A motorcycle initially travelling at 15.0 m/s comes to rest in 5.0 s. What is its deceleration and how
far does it travel during deceleration?
The deceleration of the motorcycle is -3.0 m/s^2 and it travels 75.0 m during deceleration.
To find the deceleration of the motorcycle, we can use the formula:
deceleration = (final velocity - initial velocity) / time
Plugging in the given values, we get:
deceleration = (0 m/s - 15.0 m/s) / 5.0 s = -3.0 m/s^2
To find the distance the motorcycle travels during deceleration, we can use the formula:
distance = (initial velocity * time) + (1/2 * deceleration * time^2)
Plugging in the given values, we get:
distance = (15.0 m/s * 5.0 s) + (1/2 * -3.0 m/s^2 * 5.0 s^2) = 75.0 m
So the deceleration of the motorcycle is -3.0 m/s^2 and it travels 75.0 m during deceleration.
a typical tendon has a strength of 16000 pounds per square inch (psi). let's assume the achilles tendon is roughly rectangular in cross section with dimension of .4 inches x .2 inches. you can use this to calculate the force at which the achilles tendon will start to fail. at what force might the achilles tendon start to fail (in pounds, lb)?
An average tendon can withstand 16000 per square inch of force (psi). The Achilles tendon may begin to fail at a force of F = 1280 pounds.
How does science define force?That meaning of the term "force" is obvious. At this point, it is quite acceptable to refer to a force as a push or possibly a pull. An item does not "have energy in it" or "encompass energy." A force is applied to one thing by another. A factor is anything that affects non-living things as well.
Inertia or a force?Inertia is what holds the cosmos together. Literally. That could prevent matter from having the electric forces necessary to produce its system layout. Vibrating particles generate heat and rotational motion, which operate to counteract inertia.
Briefing:Area of tendon 0.4×0.2
=0.08 square inch.
0.08 square inch tendon =16000×0.08
F =1280 pound.
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one cannot peer all the way back and directly observe the big bang because the universe's density was so low. true false
True. The Big Bang Theory is the current scientific explanation for the origin and evolution of the universe. According to this theory, the universe was initially in a state of extremely high density and temperature, and it has been expanding and cooling since its inception.
One reason we cannot directly observe the Big Bang is that the universe's density was so low at that time that there were no solid particles, such as atoms or molecules, that could have formed into stars or galaxies. Instead, the universe was filled with a hot, ionized plasma that was too diffuse to be observed by telescopes. Another reason is that the expansion of the universe has caused the light and other electromagnetic radiation that was emitted during the Big Bang to become redshifted, or stretched out in wavelength, over time. This means that the light from the earliest moments of the universe has shifted into the microwave and radio frequency ranges, which are not visible to the human eye. Therefore, while we can infer some details about the conditions of the early universe based on observations of the cosmic microwave background radiation and the large-scale structure of the universe, we cannot directly observe the Big Bang itself.
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calculate the height of the coulomb barrier for the head-on collision of two deuterons. take the effective radius of a deuteron to be 2.1 fm.
The nuclear force between two charged particles is attractive, but Coulomb repulsion prevents two charged particles from getting close enough to interact. (K= 170 keV.)
How to fix it?We consider the value of the initial kinetic energy K that each deuteron must possess in order for them to come to rest when their surfaces meet to be the height of the Coulomb barrier.
if r is a deuteron's radius, then by the law of conservation of energy, we get,
2K=1/4πϵo. e²/2r
putting values, we get
K= 1/4πϵo. e²/4r=9x10^9x1.6x10^-19/4x2.1x10^-15=2.75x10^-14 J = 170 keV.
How can the height of a potential barrier be determined?J is the potential energy. Divide it by the electron charge, or 1.6 x 1019C, to convert it to eV. Consequently, the 360keV potential barrier height for a head-on collision of two deuterons. In this work,
What is the calculation for height?5 feet, 6 inches, or 66 inches, is the height of a human. 2.54 centimeters make up one inch (cm). Therefore, to convert your height from inches to centimeters, just multiply it by 2.54. The metric equivalent of a person who is 5 feet, 6 inches tall in this instance is 167.64 cm (66 x 2.54).
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the amplitude of a lightly damped oscillator decreases by 3.72% during each cycle. what percentage of the mechanical energy of the oscillator is lost in each cycle?
The mechanical energy of the oscillator is lost in each cycle is 7.44%.
What is mechanical energy?Mechanical energy- (Kinetic energy or potential energy-) is the energy- of either an objective in motions or the energy that is stored in objects by their position. Mechanical energy is also a driver of renewables to energy. Many forms of the renewable energy relying on Mechanical energy to be the adequately produced power or converted energy.
Since the energy is proportional to the amplitudes squared,then we found the fractional changes (assumed small) is,
EE ,−E≈ E
dE=xm2dx
m2=xm2
2xmdxm=2x
mdx.m
Thus, if we approximately the fractional changes in x
mas x mdx m
then the above-mentioned calculations of shows that multiplying by this by 2 should be give them fractional energy- change. Therefore, if x
m decreases by 3.72%, then E must decreased by 7.44%.
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Maddy tripped and accidentally threw her phone off the hollywood cliff at 5m/s. It landed 20 away from the base of the cliff. how high is the cliff then?
The height of the cliff, given that her phone landed 20 m away when she accidentally threw her phone with a velocity of 5 m/s is 78.4 m
How do I determine the height of the cliff?To determine the height of the cliff, we must first obtain the time taken for her phone to reach the ground. This is obtained as follow:
Horizontal velocity (u) = 5 m/sHorizontal distance (s) = 20 mTime taken (t) =?s = ut
20 = 5 × t
Divide both sides by 5
t = 20 / 5
t = 4 s
Finally, we shall determine the height of the cliff. Details below:
Time taken (t) = 4 sAcceleration due to gravity (g) = 9.8 m/s²Height (h) = ?h = ½gt²
h = ½ × 9.8 × 4²
h = 4.9 × 16
h = 78.4 m
Thus, the height of the cliff is 78.4 m
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A piece of stone is projected vertically upwards with a speed of 25ms^-1. Determine it's speed at it's point reached
Assuming a piece of stone is projected vertically upwards with a speed of 25ms^-1, its speed at its highest point reached is equal to zero (0) m/s.
What is projectile motion?In Science, projectile motion can be defined as a form of motion which is experienced by a physical object (body) that is projected near the surface of planet Earth, while moving along a parabolic path, and under the influence of a gravitational force (gravity) only.
Generally speaking, when this stone is thrown straight up or projected vertically upwards at a certain speed, it begins to slow down as a result of the effect of downward gravitational acceleration.
Consequently, the stone reaches a maximum height (highest point) where it cannot go higher anymore and then starts to fall down (descend) due to gravity.
In this context, we can reasonably infer and logically deduce that the speed of any physical object would be equal to zero (0) meter per seconds when it reaches a maximum height (highest point).
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Complete Question:
A piece of stone is projected vertically upwards with a speed of 25 ms^-1. Determine its speed at its highest point reached. (g = 10 ms-2).
what is the change in internal energy of a system that takes in 4.23 106 j of heat, and does 4.50 105 j of work while dissipating 9.07 106 j of heat?
The change in internal energy of a system is - 5290×10⁴J.
What do you mean by internal energy?Innate strength A system's or a body's (with clearly defined boundaries) U is made up of the sum of the kinetic and potential energies resulting from molecular motion as well as the electric and vibrational motion of the atoms within molecules.
Heat transfer into the system Q₁ = 4.23×10⁶J
Heat transfer out of the system Q₂ = 9.07× 10⁶J
Work done W = 4.50×10⁵J
The heat transfer into the system less the heat transfer out of the system is now known as the net heat transfer.
Q = Q₁ - Q₂
Q = 4.23×10⁶ - 9.07× 10⁶
Q = -4.84× 10⁶J
The first law of thermodynamics provides the following formula for the change in internal energy:
ΔU = Q - W
ΔU = -4.84× 10⁶ - 4.50×10⁵
ΔU = - 5290×10⁴J.
A negative sign indicates a decrease in internal energy.
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example 10.11 discusses the conversion of spring potential energy to kinetic energy. how much energy is initially stored in the spring?
A spring-loaded to gun is used to launch a 10 plastic ball. The spring, which has a spring constant of 10 N/m, is compressed by 10 cm as the ball is pushed into the barrel. When the trigger is pulled, the spring is released and shoot the ball back out horizontally.
Answer:
Below
Explanation:
ESE = 1/2 k d^2
= 1/2 * 10 N/m * .1 m = .5 J
a small ferryboat is 4.70 m wide and 6.50 m long. when a loaded truck pulls onto it, the boat sinks an additional 3.70 cm into the river. what is the weight of the truck?
According to the given statement 11303.5 kg is the weight of the truck.
What does physics' Archimedes principle entail?The buoyant force, which applies to a person at rest in a fluid, is proportional to the weight of the displaced water and pushes higher. The amount of fluid displaced when the body is fully immersed is equal to the body's volume.
Briefing:The Archimedean principle, which asserts that the hydrostatic push is equal to the weight of the desalinated liquid, is used to solve this task.
B = ρ g V
It is in balance with the push when the truck is at full weight, according to Newton's law of equilibrium.
Σ F = 0
B-W = 0
B = W
body weight
W = M g
the volume is
V = l to h
(l to h) = M g
M = l a h
we calculate
M = F = 1000 . 10. (4.70 x 6.50 x 0.037) = 11303.5 N
M = 11303.5 kg
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9) During a game of bowling, which of the following describe the ball's motion?(SELECT ALL ANSWERS THAT APPLY)
A) The ball is accelerated while it is pushed by the student's hand due to an
unbalanced force.
B) The ball slows down as it rolls because friction exerts an unbalanced force.
C) The ball is accelerated while it is held in the student's hand due to balanced
Forces.
D) The ball does not change its motion as it rolls because of the balanced force
provided by friction.
E) The ball does not change its motion while it is held in the student's hand due to
balanced forces.
Answer:
The answer seems to be,
A) The ball is accelerated while it is pushed by the student's hand due to an
A) The ball is accelerated while it is pushed by the student's hand due to anunbalanced force.
(The answer might be wrong. )
a pen placed 25cm from a concave spherical mirror produces a real image 20cm from the mirror. what is the focal length of the mirror
The focal length of the mirror is 50cm.
What is the focal length of the mirror?This refers to the distance from the lens or mirror to the focal point(F). It is measured in centimeters, cm or meters,m.
Formula for calculating the focal length of the mirror:
f = R * 2
Where,
f = focal length
R = the radius of curvature
What is a focal point (F)?
This refers to the point where by rays or waves meet after reflection or refraction, or the point from which diverging rays or waves appear to proceed.
In the question:
R = 25cm
f = R * 2
Substituting the values we have:
f = 25cm* 2
f = 50cm
Hence, the focal length of the mirror is 50cm.
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calculate the acceleration of a 250000- kgkg jumbo jet just before takeoff when the thrust on the aircraft is 80000 nn .
0.32 m/s² the acceleration of a 250000 kg jumbo jet just before takeoff when the thrust on the aircraft is 80000 nn.
What is a acceleration explain?Acceleration the rate at which the speed and direction of a moving object vary over time. A point or object going straight forward is accelerated when it accelerates or decelerates. Even though the speed remains constant, motion on a circle accelerates because the directions is always shifting. Due to the fact that it includes both magnitude and direction, velocity is a quantity. As the rate at which velocity changes, acceleration is likewise a vector quantity.
Briefing:The formula may be used to determine an object's acceleration given its mass and the force acting on it.
a= f/m
f is the force
m is the mass
a = 80000 / 250000
a = 0.32 m/s²
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if a planetary body (such as a rocky body bigger than about 400 km diameter) is big enough, it will be spherical. why is this:
The larger objects are rounded essentially comes down to gravity. The gravitational pull of an object will always be directed toward its mass centre. The more massive and gravitational attraction something has, the bigger it is.
The strength of the object itself opposes such force for solid objects. For instance, you are not drawn into the centre of the Earth by the downward force of gravity. The reason for this is that the ground is pushing back up at you; it is too strong to allow you to sink through it. The power of Earth has its limits, though. Imagine a massive mountain, like Mount Everest, becoming bigger and bigger as the planet's plates collide. Everest starts to sink as it gets taller due to its weight increasing. The mountain's height will be constrained as a result of the additional weight forcing it deeper into the Earth's mantle.
Hence, planets moves in fixed orbits.
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9. a soap bubble is 100 nm thick and illuminated by white light incident perpendicular to its surface. what wavelength and color of visible light is most constructively reflected, assuming the same index of refraction as water?
When a soap bubble 100 nm thick and illuminated by white light incident perpendicular to its surface, then wavelength, λ is calculated = 5.32 *10^-7 m.
What is index of refraction?The ratio of the speed of light in a vacuum, c, to the speed of light in a medium, c' is called as index of refraction. One of the consequence of this difference in speed is that when light goes from one medium to another at an angle, then the propagation vector in the new medium has a different angle with respect to normal.
Given, t= 100nm= 100 * 10 ^-9 n= 1.33
ΔФ1 = λ/4
ΔФ2 = 2√2 t λ n/2 λ
=2 t n
=2 * 100 * 10 ^-9 * 1.33
= 2.66 *10^-7
2.66 *10^-7= λ/2
λ= 5.32 *10^-7 m.
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what is the system's potential energy when its kinetic energy is equal to 34e ? view available hint(s)for part a what is the system's potential energy when its kinetic energy is equal to ? ka2 ka22 ka24 ka28
The energy that results from an object's location in relation to other things is known as potential energy. Potential energy is frequently connected to restorative forces like the force of gravity or a spring.
What happens when kinetic energy and potential energy are equal?The mechanical energy of an item is the total of its potential and kinetic energies. A falling object loses potential energy while gaining kinetic energy. The difference between the increase in kinetic energy and the reduction in potential energy is exact.
Potential energy and kinetic energy vary primarily in that one is the energy of what can be and the other is the energy of what is. In other words, stored energy is ready to be released but potential energy is immobile.
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a student needs to find the mass of an atom. the numbers of which atomic particles determines the mass of the atom?
Answer:
Together, the number of protons and the number of neutrons determine an element's mass number: mass number = protons + neutrons. If you want to calculate how many neutrons an atom has, you can simply subtract the number of protons, or atomic number, from the mass number.
Explanation:
calculate the angle at which a-wideslit produces its first minimum for 410-nmviolet light. (b) where is the first minimum for700-nm red light?
The first minimum of an a- wideslit is produced by 410-nm ultraviolet light at an angle of 11.8, and by 700-nm red light at an angle of 20.5.
Why would someone utilize violet light?The lens and cornea are impervious to light with UV wavelengths less than 360 nm. As a result, violet light, which ranges in wavelength from 360 nanometers to 400 nanometers, is the best light for controlling myopia from both an efficacy and safety perspective.
d
sin
θ
=
n
λ
2
(
sin
θ
)
=
(
1
)
(
410
×
10
−
9
)
sin
θ
=
410
×
10
−
9
2
=
2.05
×
10
−
7
θ
=
sin
−
1
(
2.05
×
10
−
7
)
=
1.17
×
10
−
5
Thus the angle is
1.17
×
10
−
5
.
(b.)
Given data
The width of slit is
d
=
2.00
m
.
The number of minimum is
n
=
1.
The wavelength is, \lambda =700 nm
Why does violet light exist?The wavelength of violet light, which ranges from 380 to 450 nanometers, is at the higher end of the visible spectrum (in experiments, people have so far seen to 310 nm). In contrast to X-rays and gamma rays, ultraviolet light has a wavelength that is shorter than violet but greater than both of them. In general, light violet is used to compose violet items.
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What is the acceleration of a car slowing from 12 m/s to a stop in 15 s?
Type a response (show work please)
Answer:
To find the acceleration of a car slowing from 12 m/s to a stop in 15 seconds, we can use the formula a = (vf - vi) / t, where a is the acceleration, vf is the final velocity, vi is the initial velocity, and t is the time. In this case, the initial velocity is 12 m/s, the final velocity is 0 m/s (since the car is coming to a stop), and the time is 15 seconds. Plugging these values into the formula, we get a = (0 - 12) / 15 = -0.8 m/s^2. This means that the car is slowing down at a rate of 0.8 meters per second squared.
