Please help with this

Please Help With This

Answers

Answer 1

A unit vector must have length equal to 1. By calculating the length of (1, 1), we discover that (12 + 12) = 2 = 1.414, which is not the same as 1, is the length.

How do you write unit vector notation?I,J notation is a way to describe a vector. In Cartesian coordinates, a unit vector is a vector with length 1. The unit vectors along the axis are denoted by the letters I and j, respectively. The form ai+bj an I + b j can be used to represent any two-dimensional vector.Numerous operations, including addition, subtraction, and vector multiplication, can be carried out with the aid of the vector form of representation. A=xi+yj+zk is the vector form of the cartesian representation of the three points (x, y, and z). A is equal to x I y j, and z k.Vy = Vyj, Vz = Vz k, and Vx = Vxî. V = Vx + Vy + Vz = Vxî+ Vyj+ Vz k is the result of applying the triangle rule to vector addition twice. The unit vector notation is used in this situation.

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Related Questions

Find the full load primary and secondary current of a 230/115V, 2kVA transformer.​

Answers

The full load primary current of a 230/115V, 2kVA transformer can be calculated using the formula:

I_primary = (2kVA * 1000 VA/kVA) / (230V)

I_primary = 8.7V

The full load secondary current of the transformer can be calculated using the formula:

I_secondary = (2kVA * 1000 VA/kVA) / (115V)

I_secondary = 17.4V

Therefore, the full-load primary current of the transformer is approximately 8.7V, and the full-load secondary current is approximately 17.4V. It is important to note that these values are based on the assumption that the transformer is operating at its full load capacity. If the transformer is operating at a lower load, the primary and secondary currents will be correspondingly lower.

Periodic motion
This question is about the stretching of springs
The diagram below shows an unblocked spring of length 100 mm
hanging suspended from a clamp. When an object of mass 50g is
hung on the spring, it becomes 180 mm long.
The spring constant K=50N/m
100 mm
50g
1- Calculate x in (mm) then convert it to meter
X is the distance that the spring is stretched from its
equilibrium position.
2- Use Hooke's law to calculate the restoring force of the spring

Answers

Springs are elastic devices used to absorb shock, store energy, and provide support in a variety of applications.

1- The distance the spring is stretched from its equilibrium position is x = 180 - 100 = 80 mm. This can be converted to meters by dividing by 1000, so x = 0.08 m.

2- The restoring force of the spring can be calculated using Hooke's law, which states that F = kx, where F is the restoring force, k is the spring constant, and x is the distance the spring is stretched from its equilibrium position. In this case, F = 50 N/m × 0.08 m = 4 N.

What is Hooke's law?

Hooke's law is a basic law of physics that states that the force applied to a spring is proportional to the amount of displacement (or stretching) of the spring. In other words, the more you stretch a spring, the more force is needed to keep it stretched. This law is expressed mathematically as F = -kx, where F is the force, k is a constant known as the spring constant, and x is the displacement.

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The type of heat transfer responsible for your computer leaving your desk very hot after you've used it for awhile?​

Answers

Answer:

Conduction

Explanation:

Conduction is a process whereby heat is transfer through solid state.

The first scientist misidentified the fossil as that of a big cat. What body structure did he use to make his observations?

Answers

the answer to this question is a giant

Those in mission control roles spend about 75 percent of their time actively communicating and controlling active space missions.


True


False

Answers

It is False that personnel in mission control spend roughly 75% of their time actively engaging with and managing running space missions, according to the evidence at hand.

What is Mission control centre?

The NASA Johnson Space Center has a designated center called Mission Control Center.

Only 10% of the time that the MCC staff devotes to mission control is actually spent actually managing missions; the other 80% is spent planning and organizing, and the remaining 15% is spent on training and education.

A facility that oversees space flights is known as a mission control center (MCC; sometimes known as a flight control center or operations center), often from the point of launch until landing or the mission's conclusion. It is a component of spacecraft operations on the ground.

Therefore, It is False that personnel in mission control spend roughly 75% of their time actively engaging with and managing running space missions, according to the evidence at hand.

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Across a resistor, voltage
a. drops
b. builds
c. speeds up

Answers

Answer:

drops

Explanation:

Ohm's Law states that V=I*R, where V is voltage, I is current and R is resistance. In a series circuit, the voltage drop across each resistor will be directly proportional to the size of the resistor. In a parallel circuit, the voltage drop across each resistor will be the same as the power source

Question 9 (Worth 4 points)
(02.06 HC)
a. Create and describe a scenario in which the forces acting on an object are unbalanced. Explain how you know the forces are unbalanced.
b. For your scenario, explain how Newton's third law of motion describes the forces involved.

Answers

a. When a football is kicked and it moves from one location to another, it indicates that unbalanced troops are responding to it and b. If an object A applies a force to another object B, then the other object B.

Describe how the effects of balanced and unbalanced forces on motion:

The equilibrium of the forces is disturbed when an object's motion changes. Forces with opposite directions and equal sizes are said to be balanced forces. Motion remains constant when the forces are equal. In one of your scenarios from the previous section, you used the same amount of force on an object but pushed or pulled it in the opposite direction.

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Can anyone help with this?

Answers

Answer:

Explanation:

Add a horizontal line.  An object that is not moving has no change in distance with respect to time.

How long will a boy sitting near the window of a train travelling at 36 km h see a train passing by in the opposite direction with a speed of 18 km h^-1.The length of the slow- moving train is 90 m.​

Answers

Answer:

5/18 is used to convert km/hr into m/s

1 km = 1000 m

1 hr = 3600 sec

1 km/hr to m/s

1*1000/1*3600

1000/3600metre/sec

10/36metre/sec

5/18 metre/sec

Explanation:

srry if this is wrong!

What is the power of a lightbulb that has a current of 0.480 A at 120.0 V?

Answers

Answer:

The power is 57.6 watts

Explanation:

We can use the Electric Power Equation to evaluate the power.

Electric Power Equation

[tex]P=IV[/tex]

[tex]P[/tex] is the power in watts

[tex]I[/tex] is the current in amps

[tex]V[/tex] is the voltage in volts

Our lightbulb has current of 0.480 A and a voltage of 120.0 V.

[tex]I=0.480\\V=120.0[/tex]

Now we can evaluate power.

Substitute our values in for the variables.

[tex]P=0.480*120[/tex]

[tex]P=57.6[/tex]

Periodic motion
This question is about the stretching of springs
The diagram below shows an unblocked spring of length 100 mm
hanging suspended from a clamp. When an object of mass 50g is
hung on the spring, it becomes 180 mm long.
The spring constant K=50N/m
100 mm
50g
1- Calculate x in (mm) then convert it to meter
X is the distance that the spring is stretched from its
equilibrium position.
2- Use Hooke's law to calculate the restoring force of the spring
Hooke's law :
F=-K.X

Answers

The value of x is 0.04m and restoring force is 9 N

(a) From the figure, the spring force balances force due to gravity.

    So, [tex]\frac{1}{2} kX^{2} = mg[/tex]

    Where, k = spring constant = 50N/m

                 X = compressed distance = L+x = 0.1+x

                 m = mass = 50 g = 0.05Kg

                 g = acceleration due to gravity = 10

Putting these values in above equation, we get: x= 0.04m

(b) Using Hooke's law, F = kx

     Where, k = spring constant =50N/m

                  x = distance = 180mm = 0.18 m

    Putting these values in above equation, we get restoring force F = 9N

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Someone please help me with this question
How are mass and weight different?

Answers

Answer:

The mass is the amount of matter in something. Weight is mass times gravitational field strength and so also includes gravity. Mass is measured in grams (g) and weight is measured in Newtons (N)

It is a “new moon” (the Moon is totally dark in the sky). Using the masses of the Earth, Sun, and Moon and the average distances between the Earth-Moon and Earth-Sun, find the net gravitational force on the Earth from the Sun and the Moon combined.

Find also distance when it is full moon

Answers

It is a “new moon” (the Moon is totally dark in the sky). The gravitational force between the Earth and the Moon is:

2.9 x 10^20 N3.5 x 10^22 N3.5 x 10^22 N

What is gravitational force?

Generally, The gravitational force between two objects is given by the equation:

force = G * (mass1 * mass2) / distance^2

Where G is the gravitational constant (6.67 x 10^-11 N*(m/kg)^2), mass1 and mass2 are the masses of the two objects, and distance is the distance between the two objects.

The mass of the Earth is 5.972 x 10^24 kg, the mass of the Moon is 7.347 x 10^22 kg, and the mass of the Sun is 1.989 x 10^30 kg. The average distance between the Earth and the Moon is 384,400 km, and the average distance between the Earth and the Sun is 149.6 million km.

The gravitational force between the Earth and the Moon is:

force = (G * (mass of Earth) * (mass of Moon)) / (distance between Earth and Moon)^2 force

= (6.67 x 10^-11 N*(m/kg)^2) * (5.972 x 10^24 kg) * (7.347 x 10^22 kg) / (384400 x 10^3 m)^2 force

= 2.9 x 10^20 N

The gravitational force between the Earth and the Sun is:

force = (G * (mass of Earth) * (mass of Sun)) / (distance between Earth and Sun)^2 force

= (6.67 x 10^-11 N*(m/kg)^2) * (5.972 x 10^24 kg) * (1.989 x 10^30 kg) / (149.6 x 10^9 m)^2 force

= 3.5 x 10^22 N

To find the net gravitational force on the Earth from the Sun and Moon combined, we add the two forces we found above.

Net force = 2.9 x 10^20 N + 3.5 x 10^22 N

= 3.5 x 10^22 N

When it is a Full Moon the distance is the same 384,400 km

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1. As air in Earth's atmosphere is heated by
the Sun, the warmer air expands and
becomes less dense than the cooler air. As a
result, the warmer air rises and the cooler
air sinks. What is the cycle of warm air
rising and cool air sinking called?

tidal current

surface current

deep current

convection current

Answers

The correct answer is D) convection current.

Convection currents are the cycle of warm air rising and cool air sinking that occurs in Earth's atmosphere (as well as in other fluids) as a result of temperature differences. When a fluid (such as air) is heated, it expands and becomes less dense, causing it to rise. When the warmer fluid cools, it contracts and becomes denser, causing it to sink. This cycle of rising and sinking creates a circular flow known as a convection current.

What influences speed of an objects fall? (Choose as many as apply)
1. Sunlight
2. Air
3. Altitude
4. Heat

Answers

Altitude and Air

but mainly altitude, Air is just depending on the situation.

Air does not always influence an object's fall, but Altitude always influences it.

Manipulation of equations:
mAvAi+mBvBi=mAvAf+mBvBf
Find mA

Answers

The value of mA is the equation of conservation of linear momentum is determined as mA = [ mB (vBi - vBf) ] / [  (vAf - vAi ) ].

What is the principle of conservation of linear momentum?

The principle of conservation of linear momentum states that in a closed or isolated system, the total momentum of the system is always conserved.

Mathematically, the formula for the principle of conservation of linear momentum is given as;

Pi = Pf

where;

Pi is the initial momentum of the systemPf is the final momentum of the system

mAvAi + mBvBi = mAvAf + mBvBf

where;

mA is the mass of the object AmB is the mass of the object BvAi is the initial velocity of object AvBi is the initial velocity of object BvAf is the final velocity of object AvBf is the final velocity of object B

To find the value of mA, we will make mA the subject of the formula as follow;

mAvAf  - mAvAi = mBvBi - mBvBf

mA (vAf - vAi ) = mB (vBi - vBf)

mA = [ mB (vBi - vBf) ] / [  (vAf - vAi ) ]

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A 4.51 kg object is placed upon an inclined plane which has an incline angle of 23.0*. The object slides down the inclined plane with a constant speed. Find the force of gravity and the parallel component of gravity along with the perpendicular component.

Answers

The force of gravity is 103.73N and the parallel component of gravity is 40.45N along with the perpendicular component is 95.43N.

How strong is the force of gravity?

The gravitational force, which pulls mass-containing objects in the same direction, is the force of gravity. The force of gravity from Earth is something we consider frequently. Your body is held firmly in place by this force. However, every mass-bearing object pulls everything else with mass toward it through gravity.

The force of gravity F = ma

F = 4.51×23

F = 103.73N

F parallel component = F sinθ

F parallel = 103.73 sin 23°

F parallel = 103.73 × 0.390

F parallel = 40.45N

F perpendicular component =  F cosθ

F perpendicular = 103.73 × cos 23°

F perpendicular = 103.73 × 0.920

F perpendicular = 95.43N.

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A student conducts an experiment to test how the temperature affects the amount of salt that can dissolve in water. In the experiment, she uses 150 milliliters of water in each trial and stirs for five minutes each time.

Answers

The independent variable that we have in the experiment is the temperature. Option B

What is an experiment?

We know that if we are talking about an experiment, what we have to look at is that we must consider the interplay of the variables that is taking place in the process. As we change one of the variables in the experiment, there would be a change in another variable in the experiment also.

Now, the variable that we usually beging to alter is the one that we call the independent variable. As we change the value of this particular variable, there would be a change in the independent variable.

We have been told that; a  student conducts an experiment to test how the temperature affects the amount of salt that can dissolve in water.

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How much force is needed to accelerate a 100 kilogram car 5 meters per second?

Answers

The force needed to accelerate the mass of 100 kg is 500 N.

What is force?

Force is the product of mass and acceleration. The S.I unit of force is Newton (N).

To calculate the amount of force needed to accelerate the mass of 100 kg, we use the formula below.

Formula:

F = ma.................. Equation 1

Where:

F = Forcem = Mass a = Acceleration

From the question,

Given:

m = 100 kga = 5 m/s²

Substitute these values into equation 1

F = 100×5F = 500 N

Hence, the force is 500 N.

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Sarita Has power of 480 watt. Calculate the amount of mass lifted by her up to 10 Metres in 12 SECONDS?​

Answers

Answer:

58.7g  (answer might differ a little if the answer treats g as 10 instead of 9.81ms-2)

Explanation:

First, apply the formula Energy = Power x Time

Power -> 480W (given)

Time -> 12 seconds  (given)

Hence,

Energy = (480 x 12) J  (SI units of energy is in Joules, J)

            = 5760 J

Since Sarita lifts up the mass, the energy we have calculated above is gravitational potential energy.

That means 5760 J of gravitational potential energy.

Recall that another formula for gravitational potential energy (GPE) is

GPE = mgh (where h is the height lifted, mass is the mass and g is the gravitational constant of 9.81ms-2)

h = 10 metres (given)

Therefore,

5760 = m x 9.81 x 10  

98.1m = 5760

m = 58.71559g

Hence, mass lifted is 58.7g (in 3sf)

In velocity time graph of a body, two points are given as A(40,5) and B(20,2). What is the acceleration of the body

Answers

Answer:

0.15 m/s²

Explanation:

Acceleration is rate of change of velocity-time function. We can find acceleration by finding the slope. The slope of graph can be found by:

[tex] \displaystyle{a = \dfrac{ \Delta v}{ \Delta t} \: \to \: \dfrac{v_f - v_i}{t_f- t_i}}[/tex]

Substitute in:

[tex] \displaystyle{a = \dfrac{5 - 2}{40 - 20}} \\ \\ \displaystyle{a = \dfrac{3}{20}} \\ \\ \displaystyle{a = 0.15 \: \text{m/s}^{2} }[/tex]

Therefore, the acceleration is 0.15 m/s²

The reliability or reproducibility of a measurement is its _____

Answers

The degree of data stability when the measurement is replicated under identical circumstances is known as reproducibility or reliability.

What exactly are repeatability and reproducibility?

Reproducibility determines how an entire study an experiment can be replicated, whereas repeatability assesses the variation in data made by a single equipment or human under similar circumstances.

What makes repeatability crucial?

Science needs reproducibility because it enables more in-depth investigation, and replication validates our findings. There are several investigations and experiments, which result in a wide range of variables, unforeseen, and things that are either outside your influence or you cannot guarantee.

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What is the equivalent resistance of a 3.0 Ω resistor and a 6.0 Ω resistor connected in parallel?

Answers

Answer:

The equivalent resistance of a 3.0 Ω resistor and a 6.0 Ω resistor connected in parallel is 2.0 Ω.

Explanation:

A blue whale with a mass of 1.90 X 10^5 kg was caught in 1947. What is the magnitude of the minimum force needed to move the whale along a horizontal ramp if the coefficient of static friction between the ramp's surface and the whale is 0.460?

Answers

The minimum force needed to move the whale along a horizontal ramp, given that the whale has a mass of 1.90×10⁵ Kg is 856520 N

How do I determine the force needed to move the whale?

We'll begin by listing out the given parameters from the question. This is shown below:

Mass of whale (m) = 1.90×10⁵ KgCoefficient of static friction (μ) = 0.460Force needed (F) = ?

To obtain the force needed to move the whale, we shall first obtain the normal reaction. This is shown below:

Mass of whale (m) = 1.90×10⁵ KgAcceleration due to gravity (g) = 9.8 m/s²Normal reaction (N) = ?

N = mg

N = 1.90×10⁵ × 9.8

N = 1862000 N

Finally, we shall determine the force needed. Details below:

Coefficient of static friction (μ) = 0.460Normal reaction (N) = 1862000 NForce needed (F) = ?

F = μN

F = μN

F = 0.460 × 1862000

F = 856520 N

Thus, we can conclude that the force needed is 856520 N

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What is resistance? How does the resistance of a long wire compare with the resistance of a short wire? How does the resistance of a thick wire that has a large cross-sectional area compare with the resistance of a thin wire?

Answers

Answer:

The opposition offered by the conductor to the current flowing through it is known as resistance.

we know,

Resistance is directly proportional to the length of the conductor.Hence,the resistance offered by the long wire will be more than that of the short wire.

Also, Resistance is inversely proportional to the area of cross section of conductor.So,The Resistance in the thick wire will be less than that of the thin wire.

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A snowboarder on a slope starts from rest and reaches a speed of 3.4 m/s after 7.3 s.

Answers

The acceleration of the snowboarder is 0.466 m/s².

What is acceleration?

Acceleration is the rate of change of velocity.

To calculate the acceleration of the snowboarder, we use the formula below.

Formula:

a = (v-u)/t........................ Equation 1

Where:

a = Accelerationv = Final velocityu = Initial velocityt = Time

From the question,

Given:

v = 3.4 m/su = 0 m/st = 7.3 s

Susbtitute these values into equation 1

a = (3.4-0)/7.3a = 0.466 m/s²

Hence, the acceleration is 0.466 m/s².

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you are in the year where the earth has no more land available for houses you decide to build an apartment up and need things to survive in each earths 5 layers (troposphere,stratosphere, mesosphere, thermosphere, exosphere) Question: what things would you need to survive the mesosphere
PLS I RLLY NEED SOME HELP​

Answers

The things would which would be needed to survive the mesosphere include the following below:

Food and waterOxygen supply.

What is a Mesosphere?

This is refereed to as the third layer of the atmosphere which is present above the stratosphere and directly below the thermosphere.

It has a low density of gas and water vapor present in the area which is why it is no place for human life as there is a shortage of oxygen and other gases needed for some biochemical reactions in the ecosystem. This is therefore the reason why things such as food, water and oxygen supply is neeeded tio survive in the mesosphere.

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brandon buys a new seadoo. he goes 12km north from the beach he jumps wakes for 6km to the east what distance did he cover what was his displacement

Answers

Total distance covered by Brandon is 18 km and total displacement covered by him is 13.41 km.

Displacement: What is it?

The definition of displacement is the changing of an object's position. It has a magnitude and direction and is a vector quantity. It is shown as an arrowhead that travels from the initial location to the end. An object's position changes, for instance, if it moves from position A to position B.

Distance covered by Brandon is-

12 + 6 = 18 km

Displacement covered by Brandon is-

d²= 12² + 6²

= 144 + 36

d²= 180

d = √180

d = 13.41 km.

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You are in the year where the earth has no more land available for houses you decide to build an apartment up and need things to survive in each earths 5 layers (troposphere,stratosphere, mesosphere, thermosphere, exosphere) Question: what things would you need to survive the mesosphere
PLS I RLLY NEED SOME HELP​

Answers

The things that I will need to survive the layer of the earth called the mesosphere would be thick clothings.

What are the 5 layers of the earth?

The five(5) layers of the earth include the following such as:

troposphere,stratosphere, mesosphere, thermosphere, and exosphere.

The Mesosphere is one of the layers of the earth that is found directly above the stratosphere and then below the thermosphere.

The characteristics of the mesosphere is that the temperature rises due to reduced absorption of solar radiation and increased cooling by CO2 radiative emissions.

Therefore, for an individual to survive and live effectively at the Mesosphere layer of the earth, such needs thick clothings.

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Which law of motion accounts for the following statement? An apple accelerates as it falls from a tree

Answers

The law of motion that accounts for an apple accelerating as it falls from a tree is the law of gravity, specifically Newton's Second Law of Motion.

Newton's Second Law of Motion states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. In the case of an apple falling from a tree, the net force acting on it is the gravitational force pulling it toward the Earth. The acceleration of the apple is therefore determined by the strength of this gravitational force and the mass of the apple.

As the apple falls from the tree, it accelerates toward the ground due to the gravitational force acting on it. The faster the apple falls, the greater its acceleration. This acceleration is commonly referred to as acceleration due to gravity, which is a constant value of 9.81 m/s^2 near the surface of the Earth.

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Philip is having a party and wants to spend less than $572. He has already spent $500. The only item left on his list is sodas, which cost $8 per case. How many cases of soda, x, can Philip purchase and stay under his budget? Select the number line that includes the largest number of cases of soda that Philip can purchase and still stay under his budget. What did people plant in victory gardens? You are lost in a foreign city where you do not speak the language. What will you do to try and find your way back to your hotel A 211-mL sample of a 0.285 M CaCl2 solution is left on a hot plate overnight; the following morning, the solution is 1.25 M. What volume of water evaporated from the 0.285 M CaCl2 solution "Love Me Do" was the first recording by The Beatles with George Martin. Who played drums on the original session? How does word choice affect the tone of the poem? What is the circumference of this circle? Use = 3.14 Can someone help me with this? What three psychologists agreed that psychology ought to be solely concerned with objective, observable behavior? 1. Ivan Pavlov 2. B.F. Skinner 3. Sigmund Freud 4. John Watson 5. Edward B. Titchener 6. William Wundt You decide to write down a few of the things that you found in your mochila. How would you say the following in Spanish How do you persuade the audience to take action? The statement int wage; creates a variable named wage that is used to _____ the value 20. input output hold Unit 5 Critical Thinking Questions 5. The unit discusses the four stages of group building in fitnessforming, storming, norming, and performing. Do you think that these four stages can be applied to other types of situations or activities besides fitness? Discuss and give an example. According to Morgan's research, top-level athletes form a psychological profile known as thea. iceberg profileb. inverted-U profilec. U-shaped profiled. peak performance profilee. Morgan profile what emotions do you think douglass tries to evoke from readers by presenting these incidents together Which of the following would NOT be considered in the scope of organizational compliance efforts?A. LawsB. Company policyC. Internal auditD. Corporate culture To determine population growth or decline, is the sex ratio constructed for all cohorts or only for the reproductive cohorts? Batman shoots a grappling hook34.6 m/s at an 80.2 angle. What is the magnitude only (no direction) of the velocity of the hook 1.09 s later?(Unit = m/s) ) For comparison with other years and with other countries, we prefer a histogram of the percentages in each age class rather than the countries. Explain why. the swim team trains 4 days every week. Mon, Tues, and Thurs, the swim tea spends 1/2h in the gym followed by 1 1/4 in the pool. On Saturday there is no gym work but double the swim team time. how many hours per week does the team train?