The g’s experienced by the driver will be 30.45 g.
The above is a case of uniformly accelerated motion.
So we have to use one of the following equations to solve it,
v = u + at
v^2 - u^2 = 2as
s = ut + 1/2t^2
As we are given the final velocity, initial velocity and the time, therefore the first equation is appropriate.
v = u+ at
Putting v = 0 m/s
u = 20 m/s
t = 0.067 s
0 = 20 + at
The acceleration comes out to be 298.50 m/s^2.
As g = 9.8 m/s^2, dividing the value of acceleration by 9.8 will give the value of g experienced by the driver.
A = 298.50/9.8 = 30.45g m/s^2.
Hence, The g’s experienced by the driver will be 30.45 g.
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The police come to your house and demand to search it. You respond that they should leave and not come back without a warrant signed by a court that shows they have a good reason to search your home. You are exercising your rights as guaranteed under which Amendment?
Group of answer choices
The Second Amendment
The Fourth Amendment
The Eighth Amendment
The Fourteenth Amendment
a person jogs eight complete laps around a 400-m track in a total time of 15.1 min .calculate the average speed, in m/s .
The average speed in m/s of a person that jogs eight complete laps around a 400m track in a total time of 15.1 min is 0.44m/s.
How to calculate average speed?Average speed of a moving body can be calculated by dividing the distance moved by the time taken.
Average speed = Distance ÷ time
According to this question, a person jogs eight complete laps around a 400m track in a total time of 15.1 min. The average speed is calculated as follows:
15.1 minutes in seconds is as follows = 906 seconds
Average speed = 400m ÷ 906s
Average speed = 0.44m/s
Therefore, the average speed in m/s of a person that jogs eight complete laps around a 400m track in a total time of 15.1 min is 0.44m/s.
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if an arrow is shot upward on mars with a speed of 66 m/s, its height in meters t seconds later is given by y
By using uniform motion, the maximum height of arrow is 585.326 meters.
We need to know about the uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule
vt = vo + a . t
vt² = vo² + 2a . s
s = vo . t + 1/2 . a . t²
where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.
From the question above, we know that
vo = 66 m/s
vt = 0 m/s
gmars = 3.721 m/s²
By using the second equation, we can calculate the maximum height
vt² = vo² + 2a . s
0² = 66² - 2g . y
2 . 3.721 y = 4356
y = 585.326 meters
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A glass rod that has been charged to 14.0 nc touches a metal sphere. afterward, the rod's charge is 7.0 nc . what kind of charged particle was transferred between the rod and the sphere?
The charged particles that transferred between the glass rod and the metal sphere were electrons.
The rod has lost some of the charges it had earlier as the remaining count of charges is less than the previous one.Before analysing the type of the charge it is worthy to know about the conductive properties of both the materials.Glass is insulative while metal is conductive. Conductive materials in the sense have free electrons in abundance compared to insulative materials that conduct electricity within them. Glass, in comparison, does not conduct charges dynamically but rather keeps them stationary where those were originated. Electrons are more dynamic than protons.In this case, the metal sphere is neutral at the beginning that contained equal amounts of negative(electrons) and positive(protons) within it. Once the rod is taken close and eventually touched the sphere the more dynamic electrons flow into the rod nullifying the charges the rod had earlier.Therefore, it can be concluded that the type of charges the rod had were positive ones(protons) and the charges moved between them were electrons from the sphere to the rod.Otherway around is impossible.Finally, the sphere contains an amount of positive 7.0 nC charge while the rod contains the remainder of 7.0 nC on the parts which did not touch the sphere.
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What is Earth's natural form of visible light and what color is it?
Answer:
La luz visible es una onda electromagnética, que consiste en oscilaciones eléctricas y campos magnéticos que viajan por el espacio. La frecuencia de la onda determina el color: 4×1014 Hz es la luz roja, 8×1014 Hz es la luz violeta, y entre estos en el rango de 4-8×1014 Hz están todos los otros colores del arco iris
Explanation:
Answer:
Sunlight is the earth's natural form of visible light it is typically referred to as white light.
which conversion factors can be used to multiply to 4 km/min to get meters per hour?select each correct answer. 1 km1000 m1 km over 1000 m1 h60min1 h over 60 min1000 m1 km1000 m over 1 km60min1 h
Conversion should be done as follows:
4 km/min → m/hr
⇒ 4 km/min = (4x1000)/ (1/60) = 240000 m/hr
How are kilometers per minute calculated?
You can measure your current speed in mph or kph. To convert it to kilometers per minute or miles per minute, divide it by 60.
To get miles per second or kilometers per second, divide by 60 once more.
Alternative: To convert it directly, divide it by 3600.
How are kilometers and miles per hour converted?Divide the number of kilometers per hour (kmph) by 1.609344 to get the equivalent number of miles per hour (mph).
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As an airplane accelerates in level flight, what parameter must the pilot adjust to keep level and balance (lift = weight)?
As an airplane accelerates in level flight, pilot must adjust to keep level and balance at the angle of attack.
What is the type of lift in reference to airplane?When the air flows through the wingspan of an airplane, it generates a pressure difference between the upper and lower portions of wings. Due to this pressure difference, an upward force is generated that acts in upwards direction known as the aerodynamics lift.
In this case:
At the equilibrium condition, the upward lift generated by the airplane is equal to the weight of airplane. The lift generated depends upon area of the wind span, density, and velocity of the air; these values can not be changed by the pilot. But by changing the angle of attack parameter, the desired lift can be produced, and angle of attack can be changed easily by the pilot.
Therefore as an airplane accelerates in level flight, the parameter the pilot must adjust to keep it level and balance the lift to the weight is angle of attack.
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A certain european automobile has a gas mileage of 19 km/l. part a what is the gas mileage in miles per gallon?
The correct answer is 44.6 miles/gallon.
Finding the complete mileage and fuel consumption of a car over the course of the entire journey is necessary to answer this type of query. We must thus calculate the value for each mile separately using the provided data in order to avoid getting the incorrect answer by just adding the value of the gallons.
The number of miles an automobile can go on one gallon of fuel is known as MPG, or miles per gallon. A car's fuel efficiency is mostly measured by its MPG; the greater the MPG, the more efficient the vehicle is.
Speed of the automobile = 19 km/L
Use the following conversion factor to convert km/l into miles/gallon
19(km×0.621miles/km)/(l×0.264gallon/L)
=44.6 miles/gallon
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A brine solution of salt flows at a constant rate of l/min into a large tank that initially held l of brine solution in which was dissolved kg of salt. The solution inside the tank is kept well stirred and flows out of the tank at the same rate. If the concentration of salt in the brine entering the tank is kg/l, determine the mass of salt in the tank after t min. When will the concentration of salt in the tank reach kg/l?.
which is 0.05 kg/L Just keep in mind that the concentration in the tank will fluctuate over time until it reaches the inflow concentration.
Chemistry involves creating and manipulating solutions frequently, yet a variety of concentration units are employed depending on the reaction or kind of analysis. Molality (M = moles solute/kg solution), mass% (mass solute/mass solution), and mass per volume concentrations are a few examples of frequent units.
After t minutes, the salt mass in the tank with a concentration of
0.02 kg/L is 2 kg.
According to the way the question is written, the tank's concentration is 0.02 kg/L, and its volume, which is independent of its input and outflow quantities, is 100 L. In light of this, multiplying the concentration by the volume will provide the amount of salt in the tank at the specified concentration.
(0.02kg/L)(100L) = 2kg
Just keep in mind that the concentration in the tank will fluctuate over time until it reaches the inflow concentration, which is 0.05 kg/L. The amount of time it will take for that to happen can be predicted by an equation, but that is not the issue being addressed here; rather, it is how much salt will be in the tank at time t when the tank concentration is
0.02 kg/L.
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The complete question is:
In a huge tank that initially stores 100 L of brine solution with 0.5 kg of salt dissolved in it, a brine solution of salt flows at a steady rate of 8 L/min. The interior of the tank is kept thoroughly stirred, and the solution drains at the same rate. Determine the mass of salt in the tank after t minutes when the concentration of salt in the tank reaches 0.02 kg/L if the salt concentration in the brine entering the tank is 0.05 kg/L.
what is the definition of density? the measure of mass of a material within a given space. the measure of mass of a material within a given space., defragment, the volume of an object. the volume of an object., defragment, the weight of an object the weight of an object, defragment, the mass of an object.
the definition of density is: the measure of mass of a material within a given space
The density of an object is the relation that exist between the mass and the space that the object occupies. The general formula of the density is:
ρ = m/v
Where:
v= volumeρ= densitym= massFor example if we want to know which is the density of a body that has a mass of 100g and a volume of 150 cm³, applying the density formula we get:
ρ = 100 g/150 cm³
ρ = 0.666 g/cm³
What is density?It is a physical quantity that expresses the ratio of the body mass to the volume it occupies.
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A sine wave has a rms value of 208 v. what is the peak value? group of answer choices
A sine wave has a rms value of 208 v, the peak value is 294.15v.
What is rms?The RMS value of a set of values (or a continuous-time waveform) is the square root of the arithmetic mean of the squares of the values, or square of the function that defines the continuous waveform. In physics, RMS current value can also be defined as the "value of the direct current that dissipates same power in a resistor".
Physical scientists often use the term root mean square as a synonym for standard deviation when it can be assumed input signal has zero mean, that is, referring to the square root of mean squared deviation of a signal from a given baseline or fit. This is useful for the electrical engineers in calculating "AC only" RMS of a signal. Standard deviation being the RMS of a signal's variation about the mean, rather than about 0, DC component is removed (that is, RMS(signal) = std e v (signal) if the mean signal is 0).
Mean power, or root mean square (RMS) power handling, refers to how much continuous power speaker can handle. The peak power handling value refers to the maximum power level that speaker is capable of utilizing in short bursts.
Therefore,
Peak value= rms[tex]\sqrt{2}[/tex]
=294.15v
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11 A feather of mass 10 g falls from rest from a height of 3 m and takes 2s to hit the ground. Find the air
resistance on the feather.
The air resistance on the feather is 20.2275 x [tex]10^9[/tex]N.
Air resistance is the force the air applies to objects moving through it. Scientists frequently refer to this force as drag or drag force. Usually, this force is utilized to slow down the object's speed by acting in the opposite direction.
The moving body is subject to the frictional force of air resistance. Air resistance slows a moving body down. The body experiences higher air resistance the more it moves.
Given:
Mass, m = 10g
Height, h = 3m
Time, t = 2s
Force constant, k = 8.99 x [tex]10^9 Nm^2[/tex]
To find:
Air resistance, Fa = ?
Formula:
[tex]Fa = kv^2[/tex]
Calculations:
Speed, v = h/t
v = 3/2
v = 1.5m/s
Fa = 8.99 x [tex]10^9[/tex] x 1.52
Fa = 20.2275 x [tex]10^9[/tex]N
Result:
The air resistance on the feather is found to be 20.2275 x [tex]10^9[/tex]N.
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Through what total distance (in m) has the object moved between t = 0 and t = 18 s?
Distance covered by the box is 135m.
What are equation of motion?Equations of motion in physics are equations that explain how a physical system behaves in terms of how its motion changes over time. The behaviour of a physical system is described in further detail by the equations of motion as a collection of mathematical functions expressed in terms of dynamic variables.
The following are the three equations of motion:
First Equation of Motion : v = u + a t.Second Equation of Motion : s = u t + 1 2 a t 2.Third Equation of Motion : v 2 = u 2 + 2 a s.the theoretical question is complete but the diagram is missing, its added in the attachment.
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A ball is thrown directly downward with an initial speed of 8.55 m/s, from a height of 30.4 m. after what time interval does it strike the ground?
The ball will reach the ground after 1.8 seconds.
We have a ball thrown directly downward.
We have to determine after what time interval does it strike the ground,
According to the question -
u = 8.55 m/s
S = 30.4 m
a = 9.8 m/[tex]s^{2}[/tex]
Using the Second Equation of Motion -
x = ut + [tex]\frac{1}{2} at^{2}[/tex]
Substituting the values -
30.4 = 8.55t + 4.9[tex]t^{2}[/tex]
4.9[tex]t^{2}[/tex] + 8.55t - 30.4 = 0
Solve this quadratic equation, you will get -
t = 1.8 seconds.
Hence, the ball will reach the ground after 1.8 seconds.
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bees often work together for the greater good of the hive. sometimes they can get excess charge on them. four pairs of bees, which can be represented as identical, conducting spheres, bump into each other in the hive. rank the bees in the order of the size of the magnitude of charge transfer. assume that since the bees are identical, they will have the same amount of charge after making contact. (enter your answer in decreasing order of the size of the magnitude of charge transfer. use only ">" or "=" symbols. do not include any parentheses around the letters or symbols.)
it goes as follows- B> C> A> D
Bees frequently cooperate for the benefit of the colony. They occasionally may have an excessive charge on them. In the hive, four pairs of bees collide with one another. These bees can be visualized as identical conducting spheres. Sort the bees according to the size of the charge transfer's magnitude. Bees live in hives with a distinct social structure. Three varieties of bees, each with a specific job, are present in each hive. The female workers gather food and take care of the hive, while the male drones fertilize the eggs laid by the queen. Every type of bee is modified for its specific job. As they get older, the workers' tasks change.
As we can see, there are four pairs of bees, conducting spheres, and it appears that B is higher than C, which is higher than A, which is lower than D.
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A cold drink initially at 39 f warms up to 42 f in 4 min while sitting in a room of temperature 72 f. how warm will the drink be if left out for 15 min?
If the cold drink will be left out for 15 minutes its temperature would be 72 F.
The formula for Newton’s Law of Cooling is given in the adjoining image.
Applying the given values in the above equation,
T- T1 = (TS - T1) e^-kt
42 -72 = (39-72) e^-2k
- 30/ -33 = e^-2k
K = 0.045
Putting k = 0.045 and t = 15 minutes
T comes out to be 72 F.
Hence, if the cold drink will be left out for 15 minutes its temperature would be 72 F.
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a 26.9-g mass is suspended 1.79 cm above a nonconducting flat plate, directly above an embedded charge of q. a) if the mass has the same charge, q, how much must q be so that the mass levitates (just floats, neither rising nor falling)?
For mass to levitate charge must be 9.692×10⁻⁸ C.
For mass to levitate,
mg=Fe ( Fe here refers to electrostatic force)
mg=(kq₁q₂/r²)
here q₁=q₂,
q²=(mgr²/k)
q²=( 26.9×10⁻³×9.81×(1.79×10⁻²)²)/9×10⁹
q²=93.947×10⁻¹⁶
q = 9.692×10⁻⁸ C
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. Electromagnetic induction is used by electric transformers to modify the voltage of current flow. Transformers may change the voltage in two different ways. What are the two ways?
Transformers may change the voltage in two different ways which are
Step up; Using step-up transformersStep down; Using step-down transformersThis is further explained below.
What is electromagnetic induction.?Generally, Electric transformers are devices that can change the direction and speed of the flow of current in an electrical circuit. They do this by adjusting the voltage of the existing flow of current through the use of electromagnetic induction.
In conclusion, There are two distinct methods by which transformers may alter the voltage, and they are
Step up; Using step-up transformersStep down; make use of transformers that scale down the voltageThe step-up transformer is usually used for the transmitting of electric charge through a lengthy distance where power drop might be experienced, while the step-down is used to moderate said transmitted charge to a consumer.
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it is known that the electric force of repulsion between two electrons is much stronger than the gravitational attraction. for two electrons at a distance d apart, calculate the ratio of the size of the electrostatic repulsion to that of the gravitational attraction.
The ratio of the size of the electrostatic repulsion to that of the gravitational attraction is 4.17×[tex]10^{42}[/tex]
How is earth outer layer different from a cracked hard-boiled egg?
Answer: The crust of the earth is broken into pieces, like the cracked shell of a hardboiled egg. The mantle of the earth is like the egg white, and the core of the earth lies in the center, like the egg yolk. The earth's brittle crust is broken into pieces that geologists call plates.
how research is important on gathering necessary information
Thank you !
if an astronaut can throw a certain wrench 14.0 m vertically upward on earth, how high could he throw it on our moon if he gives it the same starting speed in both places?
The formula that we will apply to get to the answer would be:
2as = v² - u²
Using this we will get the answer as 82.35425 m.
Formulation and calculationHere,
U= initial velocity
V= final velocity
S= displacement of the body
A= acceleration of the body/ acceleration due to gravity (as per the question)
Something that has not been mentioned here but is present in the original question is that the acceleration due to gravity has been given as 0.170g.
While throwing the wrench on earth,
v² - u² = 2as
⇒[tex]u = \sqrt{v^2 - 2as}[/tex]
⇒ u = [tex]\sqrt{0-2 * -9.81 * 14}[/tex]
⇒ u= 16.57347 m/s
Since the astronaut gives the same starting speed in both the places so the u on moon would be 16.57347 m/s
While throwing the wrench on moon,
v² - u² = 2as
s = [tex]\frac{v^2 - u^2}{2a}[/tex]
⇒ s = [tex]\frac{0^2 - 16.57347^2}{2 * (-9.81) * 0.17}[/tex]
⇒s = 82.35425 m
so, on moon, the wrench could be thrown a distance of 82.35425 m
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The solubility of co2 in soda when the soda is canned under a pressure of 4.5 atm will:_________
The solubility of CO₂ in soda when the soda is canned under a pressure of 4.5 atm will 129.03 moles L⁻¹
According to Henry's law, the amount of a specific gas that dissolves in a liquid is directly proportional to the partial pressure of that gas in equilibrium with that liquid at a particular temperature.
Only at moderate pressure and temperature does Henry's law apply. iii. Henry's law is not followed by the gases reacting with the solvent. Ammonia or HCl, for instance, react with water and do not follow this rule.
Henry's law states that P=Ks S is the solubility in moles. Henry's law is L1 K. P stands for continuous pressure in atm.
Change the values in the preceding equation to:
S = Kp = 4 / 3.1*10²
= 129.03 moles L⁻¹
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In complete sentences please
Answer:
The topic of the graph is the age of people getting married. The x-axis shows the year and the y-axis shows the age of those getting married. The graph shows that as time has gone on, people have waited longer to marry. This is likely because they want to wait to find their true love before settling down, and there is a lot less pressure on people to get married now. Based on the statistics shown in the graph, I believe that in 10 years the average age of marriage will be between the age of 30 and 35.
stars in a constellation are group of answer choices in the same part/region of the sky. physically close to each othe
A constellation can be said as a collection of stars that resembles any kind of pattern or image, such as Leo the Lion, Taurus the Bull, or Orion the Great Hunter.
What is a constellation?A constellation can be specified as a collection of stars that resembles a pattern or image. People can use these constellations to help them find their way around by looking up at the night sky. There are in total about 88 constellations that are “official.”
How do constellations get their names?Most of the constellation names we are familiar with derive from ancient Greek, Roman, and Middle Eastern cultures. The gods, goddesses, monsters, and locales from their mythology were recognized in star groupings.
It’s crucial to realize that these weren’t the only nations who populated the night sky with figures significant to their way of life.
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I went for a walk the other day. i went four avenues east (0.80 miles), then twenty-four streets south (1.20 miles), then one avenue west (0.20 miles), and finally eight streets north (0.40 miles). a. what distance did i travel? b. what's my resultant displacement (magnitude and direction relative to due east)?
By using vector
a. the distance traveled is 2.6 miles
b. the resultant displacement is s = ( 0.6 i - 0.8 j ) miles
the magnitude is |s| = 0.6 miles
We need to know about vectors to solve this problem. Vector has magnitude and also direction. Displacement is included in vector. It can be written as
s = sx i + sy j + sz k
where s is displacement, sx is displacement on x-axis, sy is displacement on y-axis and sz us displacement on z-axis.
From the question above, we know that
east = positive x
south = negative y
west = negative x
north = positive y
s1 = 0.8 i
s2 = -1.2 j
s3 = -0.2 i
s3 = 0.4 j
The distance traveled is
s = s1 + s2 + s3 + s4
s = 0.8 + 1.2 + 0.2 + 0.4
s = 2.6 miles
The resultant displacement is
s = s1 + s2 + s3 + s4
s = 0.8 i -1.2 j -0.2 i + 0.4 j
s = ( 0.6 i - 0.8 j ) miles
The magnitude is
|s| = √sx²
|s| = √0.6²
|s| = 0.6 miles
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a certain freely falling object, released from rest, requires 1.45 s to travel the last 27.0 m before it hits the ground.
By using uniform motion, the speed before hitting the ground is 23.00 m/s.
We need to know about the uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule
vt = vo + a . t
vt² = vo² + 2a . s
s = vo . t + 1/2 . a . t²
where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.
From the question above, we know that
vo = 0 m/s
t = 1.45 s
y = 27 m
g = 9.8 m/s²
By using the second equation, we can calculate the speed before hit the ground.
vt² = vo² + 2a . s
vt² = 0² + 2g . 27
vt² = 2 . 9.8 . 27
vt² = 529.2
vt = 23.00 m/s
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the electric field midway between two equal but opposite point charges is 573 n/c , and the distance between the charges is 16.0 cm
The electric potential between the two charges is 91.68 V.
Electric potential between the two chargesThe electric potential between the two charges is calculated as follows;
V = Ed
where;
V is electric potentialE is electric fieldd is the distance of the chargeSubstitute the given parameters and solve for electric potential,
V = 573 N/c x 0.16 m
V = 91.68 V
Thus, the electric potential between the two charges is 91.68 V.
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the weight of an astronaut plus his space suit on the moon is only 271 n. how much do they weigh on earth?
The astronaut's weight plus his space suit on Earth is 1,639.34 N
To solve this exercise, the weight formula and procedure to be applied is:
W = m * g
Where:
W = weightm = massg = gravityInformation about the problem:
g(earth) = 9.8 m/s2 g(moon) = 1.62 m/s²W(moon) = 271 NW(earth) =?1 N = kg * m/s²Applying the weight formula, we isolate the mass to get the mass of the astronaut plus his space suit on the moon:
W = m * g
m = W(moon)/g(moon)
m = 271 kg * m/s² / 1.62 m/s²
m = 167.28 kg
With the mass, we calculate the weight on the earth:
W(earth) = m * g(earth)
W(earth) = 167.28 kg * 9.8 m/s2
W(earth) = 1,639.34 N
What is gravity?In physics, gravity is the force of attraction that the earth exerts on all bodies possessing mass by pulling them toward its center.
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If she drove back home using the same path she took out to the university and arrives 7.7 h after she first left home, what was her average speed for the entire trip, in kilometers per hour?
The average speed = (2 × the length of the path to the university in km) / (7.7 h)
The exact length of the path to the university is not given in the question but it is not unanswerable, therefore, consider that distance to be L measured in kilometres.If the distance is given in meters you need to convert it to kilometres as the question asks in that unit.The definition of the average speed is the key to the answer to this question which is given by
average speed = total distance covered [tex]\div[/tex] total time elapsed
So, the total distance covered is the addition of the distance of the trip to the university from home and the distance covered the way back home which is twice the distance to the university from home.And the total time taken to cover that distance is measured as 7.7 h and it can be thought of as follows as well.time to go - time to come = total time taken = 7.7 h
Therefore, simple substitution to the above average speed formula yields the required answer as follows,[tex]\begin{aligned}\\ \text{average speed} & =\small \frac{2\times L (km)}{7.7 \, h}\\\\&=\small \frac{2L}{7.7} \,km/h\\\end{aligned}[/tex]
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