The average velocity for the given time intervals are calculated by finding the displacement and dividing it by the time elapsed using the provided height function.
In this scenario, the height of the arrow at time t is given by the function h(t) = 30t - 0.83t^2.
Let's calculate the average velocity for each given time interval:
1. [7, 8]:
- Initial time: t1 = 7 seconds
- Final time: t2 = 8 seconds
- Displacement: h(t2) - h(t1) = [30(t2) - 0.83(t2)^2] - [30(t1) - 0.83(t1)^2]
- Average velocity: Displacement / Time elapsed = (h(t2) - h(t1)) / (t2 - t1)
2. [7, 7.5]:
- Initial time: t1 = 7 seconds
- Final time: t2 = 7.5 seconds
- Displacement: h(t2) - h(t1) = [30(t2) - 0.83(t2)^2] - [30(t1) - 0.83(t1)^2]
- Average velocity: Displacement / Time elapsed = (h(t2) - h(t1)) / (t2 - t1)
3. [7, 7.1]:
- Initial time: t1 = 7 seconds
- Final time: t2 = 7.1 seconds
- Displacement: h(t2) - h(t1) = [30(t2) - 0.83(t2)^2] - [30(t1) - 0.83(t1)^2]
- Average velocity: Displacement / Time elapsed = (h(t2) - h(t1)) / (t2 - t1)
4. [7, 7.001]:
- Initial time: t1 = 7 seconds
- Final time: t2 = 7.001 seconds
- Displacement: h(t2) - h(t1) = [30(t2) - 0.83(t2)^2] - [30(t1) - 0.83(t1)^2]
- Average velocity: Displacement / Time elapsed = (h(t2) - h(t1)) / (t2 - t1)
By substituting the respective values into the displacement formula and performing the calculations, we can determine the average velocities for each time interval.
The average velocity represents the change in position per unit of time and provides insight into the average rate at which the arrow is moving during the given time intervals.
To know more about average velocity refer here
https://brainly.com/question/28512079#
#SPJ11
giving brainlist
fill in the blank
Gear trains balance and
I will report you if needed so don't make a stupid reply
Answer:
spin the weals on the train
Explanation:
What type of bond is found in pure gold?
A) Metallic
B) Ionic
C)Covalent
D)Diatomic
The type of bond found in pure gold is metallic bonding, indicated by metallic bonds. Therefore option A is correct.
Metallic bonding occurs between metal atoms, such as gold, and is characterized by the sharing of electrons among a sea of delocalized electrons.
In metallic bonds, the valence electrons of metal atoms are not strongly bound to any particular atom but are free to move throughout the metal lattice.
This sharing of electrons gives rise to properties such as high electrical and thermal conductivity, malleability, and ductility, which are characteristic of metals like gold.
Unlike ionic or covalent bonds, metallic bonds do not involve the transfer or sharing of electrons between different elements.
Know more about metallic bonding:
https://brainly.com/question/29762857
#SPJ6
Of the following numbers: 0.0034 m, 45.6 m, and 1234 m, _____ is the least precise.1) 0.0034 m2) 45.6 m3) 1234 m4) none
ANSWER:
3) 1234 m
STEP-BY-STEP EXPLANATION:
Precision refers to how close two measurements are to one another. The highest number with a significant digit is the most precise, the number that has the most significant figures. Therefore, the less accurate is the opposite.
Which means that in this case, the least precise number is 1234 m.
the acceleration due to gravity near the surface of mars is about one-third of the value near the earth's surface. if a rock fell for the same amount of time on mars and earth, the speed with which the rock hit the ground on mars would be
The correct option is option E) three times slower than on Earth.
The acceleration due to gravity near the surface of Mars is about one-third of the value near the Earth's surface, which is approximately 3.71 m/s^2. On Earth, the acceleration due to gravity is approximately 9.8 m/s^2.
Gravity is a fundamental force of nature that acts between any two masses. It is what holds the planets in orbit around the Sun, and what keeps the Moon in orbit around the Earth.
The strength of the gravitational force between two objects depends on their masses and the distance between them.
The final velocity of an object falling under the influence of gravity can be calculated using the equation:
vf = vi + g * t
where:
vf = final velocity
vi = initial velocity (assumed to be zero for an object dropped from rest)
g = acceleration due to gravity
t = time of fall
If a rock fell for the same amount of time on Mars and Earth, the final velocity of the rock on Mars would be:
vf = vi + 3.71 m/s^2 * t
and the final velocity of the rock on Earth would be:
vf = vi + 9.8 m/s^2 * t
Since the time of fall is the same in both cases, we can see that the final velocity of the rock on Mars would be one-third of the final velocity of the rock on Earth. So, the speed with which the rock hit the ground on Mars would be lower than the speed with which it hit the ground on Earth.
Therefore, The correct option is option E) three times slower than on Earth.
To know more about gravity refer to:
brainly.com/question/14874038
#SPJ4
you decide to go for a walk. you walk 8km to the north in 2 hours, than you was 3km to the south in 1 hour. what is your average speed the entire walk?
Average speed = 3.6km/h
The overall distance the object covers in a given amount of time is its average speed. A scalar value represents the average speed. It has no direction and is indicated by the magnitude.
Calculating the ratio of the body's total distance traveled to the time needed to complete that distance yields the average speed formula. As stated in the average speed equation:
S average = Total Distance traveled/Total Time taken
A scalar value represents the average speed. The change in position or displacement (x) divided by the time intervals (t) during which the displacement happens is the definition of average velocity. The average velocity is measured in meters per second or M/s.
To learn more about average speed please visit-
https://brainly.com/question/12322912
#SPJ9
One liter of gas is measured out at 37 °C at a constant pressure. What volume will it occupy at -25°C?
A. 1200 mL
B. 1800 mL
C. 800 mL
D. 833 mL
The volume that 1L of gas will occupy at 37°C and a constant pressure is 0.8L. Details about volume can be found below.
How to calculate volume?The volume of a gas can be calculated using the Charles law equation as follows:
V1/T1 = V2/T2
Where;
V1 = initial volumeV2 = final volumeT1 = initial temperature = 37°C + 273 = 310KT2 = final temperature = -25°C + 273 = 248K1/310 = V2/248
248 = 310V2
V2 = 248 ÷ 310
V2 = 0.8L
Therefore, the volume that 1L of gas will occupy at 37°C and a constant pressure is 0.8L.
Learn more about volume at: https://brainly.com/question/1578538
#SPJ1
I need help! Picture is the sheet.
Answer:
The answers to the questions are
1. Sound energy
2. Conductor
3. Flow
4. Thermal energy (g underlined)
5. Electric current
6. Insulator
7. Light energy
8. Electric circuit
The underlined letters are, e, n, g, r, y, e which can be rearranged to spell energy
Explanation:
1. Sound energy is the wave form of mechanical energy that is transferred by the vibration of the of the medium through which it propagates
2. An electrical conductor is used to conduct electricity from one point to another
3. An object or material flows when it has a smooth motion towards a given direction, such as a river
4. Thermal energy is the form of energy that is given off by a body as sensible heat that can be measured as a temperature by a thermometer
5. Electric current is the electricity in a circuit
6. An insulator is a material that limits the flow of electricity or heat
7. Light energy is the form electromagnetic energy which the eye can sense
8. An electric current flows an electric circuit which consist of a source of electricity and an path through which the electric current can easily flow.
Em um fio condutor uma carga de 6.000 C atravessa uma secção transversal em 5 minutos. Determinando-se a corrente no fio, encontraremos o valor de?
Answer:
I = 20 A
Explanation:
The question says that, "A load of 6,000 C is conducted through a cross section in 5 minutes. Determining-if a current is not correct, we will find the value of?"
We have,
Charge, q = 6,000 C
Time, t = 5 minutes = 300 s
We need to find the current. We know that, the charge flowing per unit time is equal to current. So,
\(I=\dfrac{q}{t}\\\\I=\dfrac{6000}{300}\\\\I=20\ A\)
So, the current flowing through the circuit is 20 A.
Two forces are applied to a 2.0-kilogram ball on a frictionless, horizontal surface, as shown in the diagram.
2kg
F2=8.0 N
F1=2.0 N
Both arrows point right
The acceleration of the ball is
A) 0
B) 5.0 m/s2 to the right
C) 4.0 m/s2 to the right
D) 1.0 m/s2 to the left
E) 3.0 m/s2 to the left
Trina conducted an experiment to determine the average amount of salt in 1 liter of ocean water by allowing the water to evaporate and measuring the remaining salt.
Her results are shown below.
Trial Salt
1 9.9 g
2 14.2 g
3 8.7 g
4 13.4 g
What is the mean weight of the salt precipitate?
A.
46.2 g
B.
11.7 g
C.
11.3 g
D.
11.5 g
Answer:
The answer is . A 46.2g
v
\( v = v1 + v2 + v3\)
five resistance of value 0.1ohm 2.0ohms 1.0 ohms and 0.9 ohms are connected in series calculate the value of
the combined resistance
Answer:
v
Explanation:
bv
5) Apply according to the Law of Universal Gravitation, is there a stronger gravitational force between you and Earth or an elephant and Earth? Why?
Answer:
Elephant and the eath because Fg is determined by Mass of an object.. So elephant has greater mass therefore, it's Fg is higher
According the universal law of gravitation, the gravitational force is directly proportional to the mass of an object. An elephant weighs so much than a man and thus it will experience larger gravitational force from earth.
What is gravitational force?Gravitational force is a resistive force by which an object attracts other objects towards its centre of mass. The force exerted by the object depends on the mass and the force experienced by the other object depends on its mass and distance between the two objects.
According to universal law of gravitation, the gravitational force is directly proportional to the mass of the object and distance from the ground. The expression for the law is written as:
\(\rm g = G \frac{M_{1} M_{2}}{r^{2}}\)
Where, G is the universal gravitational constant and M1 and M2 be the masses of two objects which and r be the distance between them. As per this relation gravity decreases with increase in distance and increase with an increase in mass.
Therefore, a massive body such as an elephant will experience greater gravitational force from the earth.
To find more on gravitation, refer here:
https://brainly.com/question/3009841
#SPJ5
16. Why does the spoon handle look broken where it enters the surface of the water?
A. The water magnifies the spoon
B. The water reflects the light differently
C. Light waves are refracted and speed up when they pass through the water
D. Light waves are refracted and slow down when they pass through the
water
Answer:
D.
Explanation:
magine a circular loop contained in the plane of this screen. suppose that a straight current-carrying wire that is perpendicular to this screen passes through the center of the loop. if the current in the wire were to be increased by a factor of 4, how would the strength of the magnetic on the loop change?
Imagine a circular loop contained in the plane of this screen. suppose that a straight current-carrying wire that is perpendicular to this screen passes through the center of the loop. if the current in the wire were to be increased by a factor of 4, the strength of the magnetic on the loop will increase 4 times
magnetic field due to an infinitely straight current-carrying wire = B1 =
mu0 * I / 2πr
if current in the wire were to be increased by a factor of 4
B2 = mu0 * (4I) / 2πr
B2 = 4 B1
The strength of the magnetic on the loop will increase 4 times
To learn more about magnetic field here :
https://brainly.com/question/23096032
#SPJ4
nitrogen gas at standard atmospheric pressure 101.3kPa has a volume of 0.080m^3 . if there are 3.0 mol of gas what is the temperature of nitrogen gas
Answer:
Approximately \(52\; {\rm ^\circ C}\) (approximately \(325\; \rm K\)), assuming that nitrogen is an ideal gas.
Explanation:
Let \(P\) denote the pressure of this nitrogen gas sample.Let \(V\) denote the volume of this nitrogen gas sample.Let \(n\) denote the number of moles of \(\rm N_{2}\) molecules in this nitrogen gas sample.Let \(T\) denote the absolute temperature of this nitrogen gas sample (typically measured in degrees kelvins.)Let \(R\) denote the ideal gas constant. By the ideal gas law, the following equation would relate these quantities:
\(P \cdot V = n \cdot R \cdot T\).
Rearrange this equation to obtain an expression for \(T\):
\(\begin{aligned}T &= \frac{P \cdot V}{n \cdot R}\end{aligned}\).
Look up the ideal gas constant: \(R \approx 8.314\; \rm Pa \cdot m^{3} \cdot K^{-1} \cdot mol^{-1}\).
Convert each measurements from the question to standard units:
\(P = 101.3\; \rm kPa = 101.3 \times 10^{3}\; \rm Pa\).\(V = 0.080\; \rm m^{3}\).\(n = 3.0\; \rm mol\).Substitute these values into the expression for \(T\):
\(\begin{aligned}T &= \frac{P \cdot V}{n \cdot R} \\ &\approx \frac{101.3\times 10^{5}\; \rm Pa \times 0.080\; \rm m^{3}}{3.0\; \rm mol \times 8.314\; \rm Pa \cdot m^{3} \cdot K^{-1} \cdot mol^{-1}} \\ &\approx 324.91\; \rm K\end{aligned}\).
Convert the unit of this temperature to degrees celsius:
\(\begin{aligned} & 324.91\; \rm K \\ =\; & (324.91 - 273.15)\; {\rm ^\circ C} \\ \approx \; & 52\; {\rm ^\circ C} \end{aligned}\).
Who was awarded the highest-ever rank in the u. S. Armed forces? george patton douglas macarthur george washington dwight d. Eisenhower.
The Dwight d. Eisenhower was awarded the highest-ever rank in the u. S. Armed forces.
What is u.s. armed force?
The American military is comprised of the United States Armed Forces. There are six service branches in the military: the Army, Marine Corps, Navy, Air Force, Space Force, and Coast Guard. The Department of Defense (DoD) and Department of Homeland Security (DHS), both federal executive departments, serve as the main vehicles by which military policy is carried out.
How many army forces are present in the u.s. armed force?
The Navy, Air Force, and U.S. Army are the three services with the most active personnel. The U.S. military is vastly outnumbered by China, even though it had over 1.4 million members in 2021. In terms of military expenditure, the US truly reigns supreme. The amount per person in 2021 was 2,186 dollars.
As a cadet at the United States Military Academy at West Point, Dwight D. Eisenhower took the oath in June 1911, officially beginning his military career. He attended West Point with Omar Bradley's class and graduated in June 1915. He was then commissioned as a second lieutenant in the American Army.
Therefore we can conclude that Dwight d. Eisenhower was awarded the highest-ever rank in the u. S. Armed forces.
Learn more about u.s. armed force from the given link.
https://brainly.com/question/16257474
#SPJ4
the temperature in degrees farenheight in times square during a day in aguast can be predicted by the function t(x)
The given statement is that the temperature in degrees Fahrenheit in times square during a day in August can be predicted by the function t(x).
Hence, it can be stated that the function t(x) provides a prediction for the temperature in degrees Fahrenheit in Times Square for a given value of x. Here, x represents the input variable.
It is important to note that the input variable must be provided in the correct units and format as required by the function t(x).The content loaded refers to the data that has been previously collected and is available for analysis. In the context of predicting temperature using function t(x),
the content loaded can refer to temperature data collected in Times Square during August on previous days or years. This data can be analyzed and used to develop the function t(x) that predicts temperature for a given input variable x.
Learn more about Fahrenheit Visit : brainly.com/question/30391112
#SPJ11
right auricale is bigger then left aurical, why?
Explanation:
Veins carry deoxygenated blood from different parts of the body to our heart. ... Since a larger volume of blood is collected in the right auricle than that of the left auricle, right auricle is larger than the left auricle.
37.9kg skydiver leaps out of plane what is force that skydiver pull up on earth with
The force that the skydiver pull up on the earth with a mass of 37.9 kg is 371.42 N.
What is force?Force can be defined as the product of mass and acceleration.
The force that the skydiver pull up on the earth with is the same as its weight. To calculate the weight of the skydiver, we use the formula below.
Formula:
W = mg........ Equation 1Where:
W = Weight of the skydiverm = Mass of the skydiverg = Acceleration due to gravityFrom the question,
Given:
m = 37.9 kgg = 9.8 m/s²Substitute these values into equation 1
W = 37.9×9.8W = 371.42 N.Hence, the force that the skydiver pull up on the earth is 371.42 N.
Learn more about force here: https://brainly.com/question/25239010
#SPJ1
Joules constant, 4.1868 J/cal, is an equivalence relation for 4.1868 Joules of work for 1 calorie of heat delivered to a substance. A BTU is a British Thermal Unit (another measure of heat). If 1 BTU=252 cal, how many kilojoules equal 6.1 BTU?Express your answer to 4 significant digits and include the proper unit.
Answer:
The final answer is \(6.1 BTU = 6.5621*103 KJ\)
Explanation:
\(1 BTU= 252 cal\\1 BTU =252 × 4.2 kJ\\6.1 BTU = 252 × 6.1×4.2 kJ = 6562.08 kJ\\ = 6.5621 × 103 kJ\\\)
Hence, \(6.1 BTU = 6.5621 × 103 kJ\)
Lightning always follows
(a) a thunder
(b) rain pour
(c) the easiest path
(d) a straight path
Answer:
a thunder
Explanation:
It's because the difference in speed of light and sound
Light has speed about 3×10^8m/sSound has speed 344m/sSo we hear thunder later
Answer:
C
Explanation:
Lightning is a giant spark. A single stroke of lightning can heat the air around it to 30,000 degrees Celsius This extreme heating causes the air to expand at an explosive rate. The expansion creates a shock wave that turns to a booming sound wave, better known as thunder. Thunder & lightning occur at roughly the same time, although u see the flash of lightning before u hear the thunder. This is because light travels much faster than sound.Lightning always follows the easiest path. Lightning strikes buildings or projecting objects such as trees, poles, wires or building than larger, flatter surfaces because the material in them provide easier paths to the ground than the other. The primary target of lightning are lone buildings.Therefore, Thunder Follows The Easiest Part. And it is not (A) because Thunder Follows A Lightening Not Vice Versa.
Water in a beaker gains thermal energy at a rate of 3000 W. The water is at its boiling point. The spesific latent heat of vaporisation of water is 2260 J/g. How long does it take for 250 g of the water to vaporise?
The amount of heat required to vaporize a certain amount of water is given by:
Q = ml
where Q is the amount of heat, m is the mass of water, and l is the specific latent heat of vaporization.
In this case, the heat energy supplied to the water is:
Q = Pt
where P is the power supplied and t is the time taken.
Since the water is at its boiling point, its temperature remains constant while it is vaporizing. Therefore, the energy supplied to the water is solely used for vaporization.
Equating the two expressions for Q, we have:
Pt = ml
Solving for t, we get:
t = ml / P
where m = 250 g and l = 2260 J/g.
Substituting the values, we get:
t = (250 g) x (2260 J/g) / (3000 W) = 0.1883 hours
Converting to minutes, we have:
t = 0.1883 hours x (60 minutes/hour) = 11.3 minutes (approx.)
Therefore, it will take approximately 11.3 minutes for 250 g of water to vaporize.
Un globo es inflado hasta obtener 1.5 atm, con un volumen de 500 cm³ a 273 K. Luego, es colocado en el frezzer ¿Cuál será su temperatura, con 1.2 atm y 300 cm³?
Respuesta: T2 = 131.04K
Explicación: Dado lo siguiente:
Presión, P1 = 1.5 atm = 1.5 × 760 = 1140 mmHg
Presión, P2 = 1.2 atm = 1.2 × 760 = 912 mmHg
Volumen, V1 = 500cm3 Volumen, V2 = 300cm3
Temperatura, T1 = 273K Temperatura, T2 =?
Usando la fórmula de gas combinada:
P1V1 / T1 = P2V2 / T2
Ingresando nuestros valores:
(1140 × 500) / 273 = (912 × 300) / T2
T2 × (1140 × 500) = 912 × 300 × 273
T2 = 74692800/570000 T2 = 131.04K
What’s the mathematical relation between them
:the small mass and the larger mass.
Giving brainlist on this one
I really need help on this one please I’ll be so grateful!
Explanation:
there is no relationship between small mass and the bigger mass, but it can be related with the acceleration. Since Force is constant, acceleration is inversely proportional to the mass. Greater the mass, lesser is the acceleration and vise versa
An LC circuit is built with a 40 mH inductor and an 16.0 pF capacitor. The capacitor voltage has its maximum value of 50 V at t=0s.What is the inductor current at the time t=1.3x10^-6 seconds?
The inductor current is 0.4 mA.
We are given that,
The capacitor voltage has its maximum value= Vm = V₀ = 50 V
We can calculate the angular velocity ω, by the formula,
ω = 1 / √( LC )
ω = 1 / √( ( 40 × 10⁻³ H ) × ( 16 × 10⁻¹² F) )
ω = 1 / √( 64 × 10⁻¹³ )
ω = 1 / 0.0000008
ω =1.2× 10⁶ s⁻¹
Therefore ,time for the capacitor to fully discharge can be calculated as,
V = V₀(sinωt)
sinωt = V/V₀
sinωt = = 50/50
sin(ωt) = 1
ωt = sin⁻¹ (1)
ωt = π/2
1.2x 10⁶ t = π/2
t = 1.57 / (1.2 × 10⁶)
t = 1.308 x 10⁻⁶s
Thus , the inductor current at that time can be given as,
I(t) = V₀√(C/L) sin(ωt)
so that, sin(ωt) = 1 )
I(t) = V₀√(C/L)
On putting the value in above equation,
I(t) = 50V × √( ( 16 × 10⁻¹² F ) / ( 40 × 10⁻³ H ) )
I(t) = 50 × 0.00008
I(t) = 0.0004 A
I(t) = 0.4 mA
Therefore, the inductor current would be 0.4 mA.
To know more about inductor
https://brainly.com/question/23973145
#SPJ4
The parking brake on a 1200kg automobile has broken, and the vehicle has reached a momentum of 7800kg.M/s. What is the velocity of the vehicle?
Planet 1 has mass 3m and radius r, while planet 2 has mass 4m and radius 2r. they are separated by center-to-center distance 8r. a rock is placed halfway between their centers at point o. it is released from rest. ignore any motion of the planets.
Part (a) Derive an expression, in terms of relevant system parameters, for the magnitude of the acceleration a of the rock at the moment it is released Part (b) Calculate the magnitude of the acceleratiom of the rock (in m/s2) the moment it is released, using M=2x10^21 kg and R= 25 x10^6
Part (c) The rock is released from rest at point o Derive an expression for the speed v with which the rock crashes into a planet Part (d) Calculate the speed the rock crashes into the planet in m/s
The magnitude of the rock's acceleration half-way between two planets is 1.086 m/s².
The given parameters;
mass of planet, A = 3M
radius of the planet A, = R
mass of planet B, = 4M
radius of planet B, = 2R
distance between the two planets, r = 8R
The gravitational force half-way (4R) between the two planets is calculated from Newton's universal gravitational law as follows;
SEE IMAGE 1
The magnitude of the rock's acceleration is calculated from Newton's second law of motion as follows;
SEE IMG 2
Thus, the magnitude of the rock's acceleration is 1.086 m/s².To know more about magnitude of the rock visit:
https://brainly.com/question/14090825
#SPJ4
A 6kg object is lifted to a height of 10m. How much PE does it have?
Answer:
588 J
Explanation:
P.E = mgh
= 6 * 9.8 * 10
= 588 J
if g value is rounded and taken as 10 then answer is 600 J.
what natural resource did the once-ler find?
The Once-ler in Dr. Seuss's "The Lorax" found the natural resource of Truffula trees.
In the story, the Once-ler discovers a lush forest filled with Truffula trees, which he chops down to produce a product called Thneeds. As he becomes more successful, he builds a factory and hires more workers to chop down more trees, causing widespread environmental destruction.
The natural resource that the Once-ler finds is the Truffula trees, which he uses to create his product. The Truffula trees are a fictional resource that represent the real-life issue of deforestation and the destruction of natural habitats. The story highlights the importance of environmental conservation and the consequences of exploiting natural resources without regard for the long-term effects on the environment.
Learn more about "Truffula trees":
https://brainly.com/question/7643286
#SPJ11
Between which types of elements do ionic bonds occur, and how do electrons act within the bond
o nonmetals and nonmetals, electrons shared
o metals and metals, electrons freely moving
O metals and nonmetals, electrons transferred
nonmetals and metals, electrons shared
Ionic bonds form when a nonmetal and a metal exchange electrons, while covalent bonds form when electrons are shared between two nonmetals. An ionic bond is a type of chemical bond formed through an electrostatic attraction between two oppositely charged ions.
the real answer is
O metals and nonmetals, electrons transferrednonmetals and metals, electrons shared