Local governments have the ability to add up to c.) 6. 25 percent on the state sales tax. Hence, the correct answer is option c.) 6.25.
Local governments in some states have the authority to add an additional percentage to the state sales tax, commonly referred to as a local option sales tax. The percentage allowed varies by state, but in some states, such as Texas and Florida, local governments can add up to 2% to the state sales tax, bringing the total sales tax rate in some areas to 8.25%.
However, in other states, such as Tennessee and Arkansas, local governments can add up to 2.75% and 3% respectively, while in Illinois, local governments can add up to 4.75%. In Louisiana, local governments can add up to 5% to the state sales tax, bringing the total tax rate in some areas to 11.45%.
Overall, the amount that local governments can add to the state sales tax varies depending on the state and can range from 0.5% to 5% or more, but the correct answer for this question is c. 6.25%.
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A rock is thrown downwards from the edge of the Grand Canyon. With
what velocity will it hit the donkey-riding tourist who is 40 m below?
Answer:
Vf = 28 m/s
Explanation:
In order to find the final velocity of the rock, we will use the 3rd equation of motion. The third equation of motion for vertical direction is written as follows:
2gh = Vf² - Vi²
where,
g = acceleration due to gravity = 9.8 m/s²
h = height dropped = 40 m
Vf = final velocity of the rock = ?
Vi = Initial Velocity of the rock = 0 m/s (since, rock was initially at rest)
Therefore,
(2)(9.8 m/s²)(40 m) = Vf² - (0 m/s)²
Vf = √(784 m²/s²)
Vf = 28 m/s
how are gravity and electromagnetic force similar and different?
Answer:
The biggest difference is that gravity is an attractive force while electromagnetism is both an attractive and repelling force. Gravity happens between two objects depending on their masses, while electromagnetism is dependent on the objects' electric charges and the distance between them.
Explanation:
A student is playing with a pendulum. He gives the ball a push and watches the ball as it swings. After a while, the ball stops swinging.Why does the ball stop swinging?
Using the video controls to advance and rewind, compare the wave shape of an alligator’s low-frequency mating call with the wave shape of a frog’s high-frequency chorus. How are the shapes different?
When compared, the low-frequency waves of the alligator are stretched out, while the high-frequency shapes of the frogs are very close together.
What are the other differences between low-frequency and high-frequency waves?The fewer the oscillations, the lower the frequency. Oscillations are more common at higher frequencies. The frequency units are known as hertz (Hz). Humans with typical hearing can detect noises at frequencies ranging from 20 to 20,000 hertz.
A wave's frequency is inversely proportional to its wavelength. That is, high-frequency waves have a short wavelength, whereas low-frequency waves have a greater wavelength. The wavelengths of light waves are quite short.
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The Special Olympics started for athletes with which disability?
Answer:
intellectual disabilities
Founded in 1968 by Eunice Kennedy Shriver, Special Olympics provides people with intellectual disabilities continuing opportunities to realize their potential, develop physical fitness, demonstrate courage and experience joy and friendship.
Explanation:
PLS HELP ME Which object has the greatest kinetic energy?
A: a truck with a mass of 3,500 kg moving at 30 m/s
B: a person with a mass of 73 kg running 6 m/s
C: a locomotive engine with a mass of 205,000 kg moving 5 m/s
D: a fast pitched baseball with a mass of .5 kg moving at 46.9 m/s
A locomotive engine with a mad of 205000kg moving with 5m/s
Explanation:
\(from \: the \: options \: substitute \: the \: formulars \: for \: kinetic \: energy \\ for \: opton \: a \: ke = \frac{1}{2} mv {}^{2} = \frac{1}{2} \times 3500 \times 30 {}^{2} = 1575000 \\ for \: option \: b \: ke = \frac{1}{2} mv {}^{2} = \frac{1}{2} \times 73 \times 6 {}^{2} = 1314 \\ for \: option \: \: c = \frac{1}{2}mv {}^{2} = \frac{1}{2} \times 205000 \times 5 {}^{2} = 2562500 \\ for \: option \: d \: = \frac{1}{2}mv {}^{2} = \frac{1}{2} \times 0.5 \times(46.9) {}^{2} = 549.9025 \\ from \: the \: analysis \: above \: the \: options \: that \: has \: the \: highest \: kinetic \: energy \: is \: a \: locomotive \: engine \: with \: a \: mass \: of \: 205000kg \: moving \: with \: a \: velocity \: of \: 5 \frac{m}{s} \)
when the skater starts 7 m above the ground, how does the speed of the skater at the bottom of the track compare to the speed of the skater at the bottom when the skater starts 4 m above the ground?
When the skater starts 7 m above the ground, the potential energy of the skater is higher than when the skater starts 4 m above the ground.
As the skater moves down the track, this potential energy is converted into kinetic energy, which is proportional to the square of the skater's velocity. Therefore, when the skater starts 7 m above the ground, they will have a higher velocity at the bottom of the track compared to when they start 4 m above the ground. This is because the skater has more potential energy to convert into kinetic energy, resulting in a faster speed at the bottom.
When a skater starts at a higher position, their potential energy is greater. In both cases, the potential energy is converted into kinetic energy as the skater descends. The formula for potential energy is PE = mgh, where m is the mass of the skater, g is the acceleration due to gravity, and h is the height above the ground. Since the skater starting at 7 m has a higher initial potential energy than the one starting at 4 m, they will have a greater kinetic energy at the bottom of the track, resulting in a higher speed.
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.A water tank has dimensions
of 6m x 4m x 4m. Find the pressure exerted by
water at the base of dam when it is half
filled. ( Density of water - 1000 kg/ m2,
acceleration
due to to gravity is 9.8m/s2
Answer:
9800Nm⁻²
Explanation:
Given parameters:
Dimensions of the water tank = 6m x 4m x 4m
Density of water = 1000kgm⁻³
Gravity = 9.8m/s²
Unknown:
Pressure exerted by the water at the base of the dam = ?
Solution:
The pressure exerted by the water is given as:
Pressure = density of water x acceleration due to gravity x height of water
The height of the water here is half = 1m
Pressure = 1000 x 9.8 x 1 = 9800Nm⁻²
Gravitation Assignment
Use G = 6.67 x 10 -11Nm2kg-2
1. The gravitational field strength on Jupiter is 25 Nkg-1 and the radius of Jupiter is 7.1 x 107m. Determine the mass of Jupiter.
2. An object of mass 5kg is placed on Jupiter. Using your answer from question 1determine the weight of this object.
3. Two masses 2kg and 4 kg are separated by a distance of 3cm. Determine the gravitational force between them
4. The Earth and moon are separated by a distance of 384,400 km from their centers.
Determine where in between them, an object of mass m, would experience no force.
Mass of Earth = 5.98 x 1024 kg
Mass of moon = 7.35 x 1022 kg
I appreciate whoever completes this 20 mark question for me so much : )
Mass is how heavy is an object is
A football field is 52 yards wide by 112 yards long. What is the area
Answer:
5824 yards^2
Explanation:
area = length x width
area = 112 x 52
area = 5824
Answer:
5824 squared yards
Explanation:
A 600-N block is placed on a horizontal surface and is supported by two springs with spring constants of 400 N/m. If the springs are compressed equally, what is the total compression of both springs?
Both springs have a total compression of 2x = 1.5 m.
How to calculate total compression?The force acting on the block is equal to the sum of the forces from both springs. Let x be the compression of each spring.
The force from each spring is given by Hooke's law: F = kx, where k is the spring constant. Since there are two springs, the total force is:
F = 2kx
The force on the block is 600 N, so set up the equation:
2kx = 600
Substituting k = 400 N/m:
2(400 N/m)x = 600 N
Solving for x:
x = 0.75 m
Therefore, the total compression of both springs is 2x = 1.5 m.
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When resting, a person has a metabolic rate of about 4.70x10^5 joules per hour. The person is submerged neck deep into a tub containing no 812kg of water at 23.07 degrees Celsius. If the heat from the person goes only into the water, by how much will the water temperature temperature increase after 43 minutes of immersion?
Given
Rate of metabolic rate,
\(Q=4.70\times\frac{10^5J}{hr}\)Mass of water,
\(m=812kg\)The initial temperature,
\(T=23.07^oC\)Explanation
The heat transferred in 43 minutes is given by
\(\begin{gathered} Q\times\frac{43}{60}=mc(T_f-T_i) \\ \Rightarrow4.70\times10^5\times\frac{43}{60}=812\times4180(T_f-28) \\ \Rightarrow T_f=28.099^oC \end{gathered}\)Conclusion
The temperature increase to 28.099 degC
A constant force is applied to an object, causing the object to accelerate at 6. 00 m/s2. What will the acceleration be if
The rate of acceleration if force is doubled is same, if the objects mass is doubled it is halved, if both the object mass and force are doubled the acceleration will be same , d- acceleration will be quadrupled
Newton's second law of motion states that force is equal to mass multiplied by acceleration: F = m * a, where F is the applied force, m is the object's mass, and an is the acceleration produced.
a- When the force is doubled, the acceleration doubles as well. Using the formula, we get:
F' = 2F
a' = F' / m = (2F) / m = 2F / (2m) = F / m = a
B- If the mass is doubled, the acceleration will be halved. Using the equation, we get:
m' = 2m
a' = F / m' = F / (2m) = a / 2
C- If both the force and the mass are doubled, the acceleration will remain the same. Using the equation, we get:
F' = 2F
m' = 2m
a' = F' / m' = (2F) / (2m) = F / m = a
D- If the force is doubled and the mass is halved, the acceleration will be quadrupled. Using the equation, we get:
F' = 2F
m' = m / 2
a' = F' / m' = (2F) / (m/2) = 4F / m = 4a
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The complete question is:
When a constant force is applied to an object, it accelerates at 6.0 m/s2. What will be the rate of acceleration if
the force doubled?
the object's mass doubled?
Both the force and the mass of the object are doubled?
The force is doubled, but the object's mass is cut in half?
What are the 5 types of electrical incidents?
Electrical burns can occur in a variety of ways, including arc burns, low voltage burns, high voltage burns, mouth burns, flash burns, and flame burns.
What are electrical incidents?Electric shock, a serious electrical mishap, or a fatal electrical event are all considered electrical incidents.
For the purposes of reporting and analysis, incident definition types let you attribute the appropriate type to safety events. Having only the two types of incidents—Accident and Near Miss—is one strategy.
An occurrence or scenario that has a number of serious repercussions and necessitates the implementation of special measures by one or more emergency responder agencies is referred to as a big incident.
Any electrical incident that results in or has the potential to result in: death or serious bodily harm to a person; significant property damage; or a serious risk to the public safety must be reported, according to the Electrical Safety (General) Regulations of 2019.
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HEELLLLLPPPPPPPPPPPP MEEEEEEEEEE!!!!!!!!!!!!
Which statement best describes the thermosphere?
The thermosphere sits directly below the troposphere.
Lighter gases such as nitrogen and oxygen rise to the top of the thermosphere.
Heavier gases such as hydrogen and helium stay at the bottom of the thermosphere.
The atmosphere is so thin that gas molecules rarely contact each other.
Answer:
I think the second one
Explanation:
its the only one that makes since tell me if I'm wrong
Answer:
the answer is "The atmosphere is so thin that gas molecules rarely contact each other."
Explanation: just took the semester test
Which statement explains why you are thrown forward when the car you are riding in suddenly stops ?
0 you are pushed forward by the force of the car stopping
0 You are are in motion as the car is driving ñ, and when it stops, your body continues to be in motion
0 The car stopping must balance out by having you move forward
0 The force of the crash accelerated you forward
Answer:
You are are in motion as the car is driving ñ, and when it stops, your body continues to be in motion
Explanation:
An RC circuit consists of a resistor with resistance 1.0 kΩ, a 120-V battery, and two capacitors, C1 and C2, with capacitances of 20.0 μF and 60.0 μF, respectively. Initially, the capacitors are uncharged; and the switch is closed at t = 0 s. How much charge will be stored in eah capacitor after a long time has elapsed (capacitor one 2.4 x 10^-3 C) (capacitor 2 7.2 x 10^-3 C) and what will the total charge on both capacitors two time constants after the switch is closed? (8.3 x 10^-3)
Answer:
\(Q_t= 8.3 * 10^3 C\)
Explanation:
From the question we are told that:
Resistor \(R=1000ohms\)
Voltage \(v=120_V\)
Capacitance of c_1 \(c_1=20 \mu F\)
Capacitance of c_2 \(c_2=60 \mu F\)
Time \(t=0\)
Generally the equation for charges is mathematically given by
\(For C_1\\Charge\ on\ C_1 = CV = 20*120 = 2400 μC = 2.4 x 10^-3 C\\Charge\ on\ C_1 = 2400 μC = 2.4 x 10^-3 C\\Charge\ on\ C_1 = 2.4 x 10^-3 C\\\)
\(ForC_2\\Charge on C_2 = 60*120 =7200 μC = 7.2 x 10^-3\\Charge on C_2 = 7.2 x 10^-3\)
Generally the equation for voltage across capacitors is mathematically given by
\(V_c(t)=V(1-e^{-t/RC})\)
\(C=C_1+C_2=80 \mu f\\t=2RC=>160000s\)
\(V_c(t)=120(1-e^{-(160000)/1000*(80)})\)
\(V_c(t)=103.7598\)
Generally the equation for charges is mathematically given by
\(Q1(t) = C1Vc(t)\\Q1(t) = 20*103.7598\\Q1(t) = 2075.196\\\\Q2(t) = 60*103.7598\\Q2(t) = 6225.6\\\)
Generally the equation for total charges \(Q_t\) is mathematically given by
\(Q_t=Q1(t)+Q2(t)\)
\(Q_t= 8.3 * 10^3 C\)
a metal box is place on a wooden incline that makes an angle of 31.3 degrees above the horizontal. at this angle, the box remains at rest. the box has a mass of 4.96 kg. set your coordinate so that the positive direction is down the incline. what is the force of friction on the box? (be careful with this one.) the coefficient of static friction for this metal on wood is 0.48. the coefficient of kinetic friction for this metal on wood is 0.31.
The force of friction on the box, when it starts sliding on the wooden incline, is approximately 13.06 N, acting up the incline.
To calculate the force of friction on the box, we need to consider the forces acting on it. Let's analyze the situation step by step:
Resolve the weight of the box into components:
The weight of the box can be broken down into two components: one parallel to the incline (down the incline) and one perpendicular to the incline. Since the positive direction is defined as down the incline, the parallel component is positive, and the perpendicular component is negative.
Weight parallel to the incline (\(W_1\)) = m * g * sin(θ)
Weight perpendicular to the incline (\(W_2\)) = m * g * cos(θ)
where:
m = mass of the box = 4.96 kg
g = acceleration due to gravity = \(9.8 m/s\²\)
θ = angle of the incline = \(31.3\°\)
Substituting the values into the formulas:
\(W_1 = 4.96 kg * 9.8 m/s\² * sin(31.3\°) = 24.48 N\)
\(W_2 = 4.96 kg * 9.8 m/s\² * cos(31.3\°) = -42.13 N\) (negative because it acts in the opposite direction)
Determine the maximum static friction force (\(f_{smax}\)):
The maximum static friction force can be calculated using the coefficient of static friction \((u_{stat})\) and the perpendicular component of weight.
\(f_{smax}\) = \((u_{stat})\) * |\(W_2\)|
Substituting the values:
\(f_{smax}\) = 0.48 * |-42.13 N| = 20.24 N
Check if the force of gravity down the incline (\(W_1\)) is less than the maximum static friction force (\(f_{smax}\)):
If W₁ is less than or equal to \(f_{smax}\), the box will remain at rest because static friction can balance the gravitational force. However, if \(W_1\) is greater than \(f_{smax}\), the box will start sliding, and we'll need to calculate the kinetic friction force.
W₁ ≰ \(f_{smax}\) (in this case, \(W_1\) is greater than \(f_{smax}\))
Calculate the force of kinetic friction (\(f_k\)):
When the box starts sliding, we need to consider the coefficient of kinetic friction (\(u_{ken\)) to calculate the force of kinetic friction.
\(f_k = u_{ken} * |W_2|\)
Substituting the values:
\(f_k\) = 0.31 * |-42.13 N| = 13.06 N
Therefore, the force of friction on the box is approximately 13.06 N (acting up the incline) when it starts sliding.
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part i: explain, using complete sentences, what types of coverage you would advise hunter and his wife purchase and which they should not. (assume they can afford all of them.) what was the reasoning behind your advice? part ii: what personal factors will cause hunter's insurance rate to be higher than his counterparts? part iii: what personal factors will allow hunter to receive a discount? (6 points)
Part I:For Hunter and his wife, I would advise them to purchase health insurance, life insurance, and disability insurance.
Health insurance will cover their medical expenses in case of illness or injury, while life insurance will provide financial protection for their family in case of the unexpected death of one of the spouses.
Disability insurance will provide income replacement if either of them becomes unable to work due to an injury or illness.
On the other hand, I would advise against purchasing pet insurance, as it is not a critical expense and may not provide a significant financial benefit in the long run.
The reasoning behind this advice is to prioritize the essential insurance needs of Hunter and his wife while avoiding unnecessary expenses.
Health, life, and disability insurance provide critical protection against unforeseen events that could result in financial ruin. In contrast, pet insurance is optional and may not provide as much financial value as the other types of insurance.
Part II:
Hunter's insurance rate may be higher than his counterparts due to personal factors such as age, occupation, health status, and driving record.
For example, if Hunter is older, works in a high-risk job, has a history of medical conditions, or has a poor driving record, he may be considered a higher risk by insurance companies, and his insurance rates may be higher than those of someone without those risk factors.
Part III:
Factors that may allow Hunter to receive a discount on his insurance premiums include having a good credit score, being a non-smoker, having a clean driving record, and bundling multiple insurance policies with the same provider.
Additionally, if Hunter has installed safety features in his home or car, such as a security system or anti-lock brakes, he may be eligible for a discount. Finally, if Hunter maintains a healthy lifestyle, such as regular exercise and a balanced diet, he may be eligible for lower health insurance premiums.
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A 2.0 kg ball and a 4.0 kg ball are connected by a 3.0-m-long rigid, massless rod. The rod and balls are rotating clockwise about its center of gravity at 25 rpm.
What magnitude torque will bring the balls to a halt in 4.0 s?
The magnitude of the torque that will bring the balls to a halt in 4.0 s is 2.9425 Nm, counterclockwise.
What is the magnitude of the torque?To solve this problem, we need to use the principle of conservation of angular momentum. The angular momentum of the system before the torque is applied is equal to the angular momentum after the torque is applied.
The angular momentum of a rigid body rotating about an axis is given by the formula:
L = Iω
where;
L is the angular momentum, I is the moment of inertia, and ω is the angular velocity.The moment of inertia of a system of particles is given by the formula:
I = Σmr²
where;
m is the mass of each particle, and r is the distance of each particle from the axis of rotation.The angular velocity is related to the rotational speed by the formula:
ω = 2πn
where;
n is the rotational speed in revolutions per second.Given the mass and length of the rod, we can calculate the moment of inertia of the system as follows:
I = m1r1² + m2r2²
Therefore, we can use the formula for the moment of inertia of a rod about its center:
I = (1/12)ml²
I = (1/12)(6 kg)(3.0 m)² = 4.5 kg m²
The angular velocity is given as 25 rpm, which is equivalent to 2.617 rad/s.
Therefore, the initial angular momentum of the system is:
L = Iω = (4.5 kg m²)(2.617 rad/s) = 11.77 kg m²/s
To bring the system to a halt in 4.0 s, we need to apply a torque that will reduce the angular velocity to zero in that time. The magnitude of the torque is given by the formula:
τ = ΔL/Δt
where;
ΔL is the change in angular momentum and Δt is the time taken for the change.Since the final angular momentum is zero, the change in angular momentum is equal to the initial angular momentum. Therefore:
ΔL = -11.77 kg m²/s
Δt = 4.0 s
Substituting these values, we get:
τ = (-11.77 kg m²/s) / (4.0 s) = -2.9425 Nm
Since torque is a vector quantity, we should specify the direction of the torque. Since the system is rotating clockwise, the torque should be applied counterclockwise.
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In which direction does current flow in an electric circuit?
In an electrical circuit the current flows from the positive to the negative. The conventional current always flows in the direction opposite to the direction of flow of the electron.
The direction of an electric current is by convention the direction in which a positive charge would move. Thus, the current in the external circuit is directed away from the positive terminal and toward the negative terminal of the battery. Electrons would actually move through the wires in the opposite direction.
The direction of flow of current was arbitrarily taken to be from positive terminal to negative terminal. Later, however, electrons were discovered and they were found out to be having a negative charge on them. So, the direction of flow of electrons is opposite to the direction of flow of conventional current.
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A delivery truck driver’s round trip route from the warehouse takes her 3 km East, then 1 k North, then 3 km West, and finally 1 km South. Which of the following statements cannot be true?
a. The displacement of the trip is zero
b. The distance of the round trip is 8 km
c. After driving 3 km East, the magnitude of displacement and distance are equal
d. The total displacement and distance are the same after the trip
Answer:
D I think hope this helps you
Find the vector using parallelogram law [and Pythagoras theorem (h² = a² + o²) h being the hypothenuse, a being the adjacent side and o being the opposite side]
The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle, or, in standard algebraic notation, a2 + b2, are equal to the squares on the legs.
What is Pythagorean Theorem called?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a fundamental relationship between a right triangle's three sides in Euclidean geometry. According to this rule, the areas of the squares on the other two sides add up to the area of the square whose side is the hypotenuse, or the side across from the right angle. The Pythagorean equation, which is typically used to express this theorem, can be expressed as an equation linking the lengths of the legs (a, b), and the hypotenuse (c):
There are several ways to generalize the theorem, including to higher-dimensional spaces, non-Euclidean spaces, objects other than right triangles, and even things that are not triangles at all but n-dimensional solids. The Pythagorean theorem has garnered interest outside of mathematics as a representation of mathematical mystique, power, or obscurity; there are numerous references to it in popular works of fiction, dramas, musicals, songs, stamps, and cartoons.
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An object is NOT accelerating. Is its motion changing?
Yes or No?
Answer:
Acceleration is 0. Acceleration is the change in velocity over time, so if acceleration is 0, the change in velocity is 0 no matter how much time passes. THIS DOES NOT MEAN VELOCITY IS 0. it only means that velocity is constant. In other words, the speed of motion will not change
Explanation:
how much work is done to move a 25 kg Mass 8 meters
Answer:
So, the power done is 196 watts.
Explanation:
Sean and Tommy are debating the positive and negative impacts of technology on environmental quality. Tommy is listing the negative impacts. Which of the following would help his argument?
A. Solar panels have become more effective due to technological improvements.
B. Technology has helped make recycling to be more efficient.
C. It has created new ways to clean up oil spills.
D. Factories contribute to air and water pollution
A multidimensional database (MDDB) is a type of database in which data can be viewed from multiple dimensions; commonly used with ____.
A multidimensional database (MDDB) is a type of database in which data can be viewed from multiple dimensions; commonly used with MOLAP.
A multidimensional database offers the capacity to swiftly process records and generates answers quickly. MDBs allow customers ask questions about agencies' operations and traits.
The multidimensional databases employ MOLAP (multidimensional on line analytical processing) to get entry to its records. They allow the customers to speedy get solutions to their requests through producing and studying the information as a substitute speedy. The information in multidimensional databases is saved in a statistics dice layout.
In a dimensional database, you've got rows and columns, represented by way of X and Y. In a multidimensional database, you've got were given X, Y, Z, etc. depending on the number of dimensions to your statistics. below is an example of a 3-Dimensional information Array represented in a relational desk and in three-D.
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Calculate the average speed (in km/h) of Larry, who runs to the store 4 kilometers away in 30 minutes.
Larry's average speed, in km/h, can be calculated by dividing the total distance he ran by the time taken.
Average speed is a measure of the overall rate at which an object covers a certain distance. It is calculated by dividing the total distance traveled by the total time taken. The average speed is a scalar quantity, meaning it only has magnitude and no direction. It represents the overall "average" rate at which an object moves without considering the specific details of its motion. Larry ran 4 kilometers in 30 minutes. To calculate the average speed, we convert the time from minutes to hours by dividing it by 60. So, 30 minutes is equal to 0.5 hours.
Average speed = Total distance / Time taken
Average speed = 4 km / 0.5 hours
Dividing 4 km by 0.5 hours, we get:
Average speed = 8 km/h
Therefore, Larry's average speed is 8 km/h.
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a third baseman makes a throw to first base 38.7 m away. the ball leaves his hand with a speed of 38.0 m/s at a height of 1.6 m from the ground and making an angle of 23.7 o with the horizontal. how high will the ball be when it gets to first base?
A third baseman makes a throw to first base 38.7 m away. the ball leaves his hand with a speed of 38.0 m/s at a height of 1.6 m from the ground and making an angle of 23.7 o with the horizontal at first base it will be 4.23 m high.
Horizontal velocity = 30 cos17.3 = 28.64 m/s
Horizontal displacement = 40.5 m
Time = 40.5/28.64 = 1.41 s
Time to reach the goal posts 40.5 m away = 1.41 seconds
Vertical velocity = 30 sin17.3 = 8.92 m/s
Time to reach the goal posts 40.5 m away = 1.41 seconds
Acceleration = -9.81m/s²
Substituting in s = ut + 0.5at²
s = 8.92 x 1.41 - 0.5 x 9.81 x 1.41²= 2.83 m
Height of throw = 1.4 m
Height traveled by ball = 2.83 m
Total height = 2.83 + 1.4 = 4.23 m
Thus, When the ball goes to first base it will be 4.23 m high.
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what is the Ramsar convention?