I will give brainliest to the best answer! I don’t understand vectors. This whole sheet is confusing me and i’m very behind, please help!!

I Will Give Brainliest To The Best Answer! I Dont Understand Vectors. This Whole Sheet Is Confusing Me

Answers

Answer 1

Explanation:

1. To graphically add vectors, use the tail-to-tip method.  Draw the first vector (it doesn't matter which), then draw the second vector where the first vector ends.  The resultant vector is from the tail of the first vector to the tip of the second vector.

This graph shows two ways to get the resultant: A + B or B + A.

desmos.com/calculator/bqhcclhhqc

2. To algebraically add vectors, split each vector into x and y components.

Aₓ = 5.0 cos 45 = 3.5

Aᵧ = 5.0 sin 45 = 3.5

Bₓ = 2.0 cos 180 = -2.0

Bᵧ = 5.0 sin 180 = 0

The components of the resultant vector are the sums of the components of A and B.

Cₓ = 3.5 + -2.0 = 1.5

Cᵧ = 3.5 + 0 = 3.5

The magnitude of the resultant vector is found with Pythagorean theorem, and the direction is found with tangent.

C = √(Cₓ² + Cᵧ²) ≈ 3.9 m/s

θ = atan(Cᵧ / Cₓ) ≈ 67°


Related Questions

What is another way of saying “getting the smallest possible force”?

Answers

Answer:

MOMENTUM

Explanation:

another way of saying getting the smallest force possible is the word " MOMENTUM".

momentum is the ability to keep maintaining,incresing or itself developing to move at constant speed or to increase the speed.

A load of mass 5kg is raised through a height of 2m. calculate the work done against (g=10mls)​

Answers

The work done against gravity is 100 J

Explanation:

The work done against gravity in order to lift an object is equal to the change in gravitational potential energy of the object:

[tex]W=mg\Delta h[/tex]

where

m is the mass of the object

g is the acceleration of gravity

[tex]\Delta h[/tex] is the change in height of the object

For the object in this problem, we have:

m = 5 kg

[tex]g=10 m/s^2[/tex]

[tex]\Delta h = 2 m[/tex]

Substituting into the equation,

[tex]W=(5)(10)(2)=100 J[/tex]

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In Newton’s third law, the action and reaction forces _____.
A.)cancel each other out
B.)act on the same object
C.)add together to double the force
D.)act on different objects

Answers

In Newton's third law, the action and reaction forces D.)act on different objects

Explanation:

Newton's third law of motion states that:

"When an object A exerts a force on object B (action force), then action B exerts an equal and  opposite force (reaction force) on object A"

It is important to note from the statement above that the action force and the reaction force always act on different objects. Let's take an example: a man pushing a box. We have:

Action force: the force applied by the man on the box, forwardReaction force: the force applied by the box on the man, backward

As we can see from this example, the action force is applied on the box, while the reaction force is applied on the man: this means that the two forces do not act on the same object. This implies that whenever we draw the free-body diagram of the forces acting on an object, the action and reaction forces never appear in the same diagram, since they act on different objects.

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Answer:Act on different objects

Explanation:

If sodium has one valence electron and sulfur has six, how many sodium atoms are needed to form an ionic bond with sulfur?
ITS TWO

Answers

Answer: two

Explanation:

Answer:

Its 2

Explanation:

This compound has a central Sulfur atom surrounded by 4 Oxygens in a covalent bonds, with an overall charge of negative 2 and 2 Sodium atoms with a charge of positive one. Thus making the answer 2.

I still walk four blocks north three blocks east for black stuff and then two blocks west where is the students distance and what is the students displacement

Answers

1) Distance: 9 blocks

2) Displacement: 4.12 blocks at [tex]76^{\circ}[/tex] north of east

Explanation:

1)

Distance is a scalar quantity that represents the total length of the path covered by a body during its motion, regardless of its direction. It can be calculated by simply adding the length of each part of the path.

In this problem, the motion of the person is:

4 blocks north

3 blocks east

2 blocks west

Therefore, the distance covered is just the sum of the length of each path:

distance = 4 + 3 + 2 = 9 blocks

2)

Displacement is a vector quantity connecting the initial position to the final position of the motion of a body. Since it is a vector, it has both a magnitude and a direction.

The magnitude can be computed by calculating the distance in a straight line between the initial and final position of motion.

In this problem, we have:

- The final position along the north-south direction is 4 blocks north

- The final position along the east-west direction is

(3 east) + (2 west) = 1 block east

Therefore, the magnitude of the displacement is given by Pythagorean's theorem:

[tex]displacement = \sqrt{4^2 + 1^2}=4.12[/tex] blocks

and the direction is given by

[tex]\theta=tan^{-1}(\frac{4}{1})=76^{\circ}[/tex] north of east.

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A toy car is moving along with 0.40 joules of kinetic energy if it’s speed is double then it’s new kinetic energy will be ?

Answers

Answer: .8

Explanation: because .40×2 =.8

If the speed of the toy car is doubled, its new kinetic energy will be 1.6J

Kinetic energy is the energy an object possesses as a result of its motion. It is given by:

Kinetic energy = (1/2) * mass(m) * velocity(v)²

Given a kinetic energy of 0.4 joules, hence:

(1/2)mv² = 0.4

If the speed is doubled:

K.E = (1/2)m(2v)² = 4 * (1/2)mv² = 4 * 0.4 = 1.6J

If the speed of the toy car is doubled, its new kinetic energy will be 1.6J

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the theory of gravity is considered to be a theory because​

Answers

Answer:

Gravity is considered a theory because it is supported by extensive experimental evidence and has successfully predicted the behavior of objects in the universe.

Hope this helps you mate

What’s the difference between 40hz and 300hz

Answers

Answer:

40hz has less frequency of sound and 300hz has more frequency of sound which means 40hz has less crest and troughs , so it has less reachability thank 300hz.

Explanation:

This graph indicates that the kinetic energy of an object is increasing. What is the most reasonable explanation for this observation?
A) The object's mass has doubled.
B) The object's velocity doubled.
C) The object's velocity has quadrupled.
D) The object's velocity and mass doubled.

Answers

B) The object's velocity doubled.

Explanation:

The graph is missing: find it in attachment.

The kinetic energy of an object is the energy possessed by the object due to its motion. It is calculated as

[tex]K=\frac{1}{2}mv^2[/tex]

where

m is the mass of the object

v is the velocity of the object

We notice that:

The  kinetic energy is directly proportional to the massThe kinetic energy is proportional to the square of the velocity

In the graph, one of the two quantities (either mass or speed) is represented on the x-axis, while the quantity on the y-axis is the kinetic energy.

First of all, we notice that the relationship is not linear: this means that the quantity on the x-axis cannot be the mass, so it must be the velocity.

Moreover, we notice that when the quantity on the x-axis increases from 1 to 2 (so, it doubles), the kinetic energy increases by a factor of 4. This means that the object's velocity has doubled, therefore

B) The object's velocity doubled.

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Final answer:

Kinetic energy is proportional to mass and the square of velocity. A quadrupling of velocity would result in a sixteen-fold increase in kinetic energy, making it the most substantial change among the given scenarios. Option B) The object's velocity doubled is the correct choice.

Explanation:

When observing that the kinetic energy of an object is increasing, it's important to consider the relationship between mass, velocity, and kinetic energy. The kinetic energy (KE) of an object is given by the equation KE = ½ mv², which tells us that kinetic energy is proportional to the mass of the object (m) and to the square of its velocity (v). Therefore, if the velocity doubles, the kinetic energy would not merely double but increase by a factor of four (since ² = 2² = 4). Doubling both mass and velocity would increase the kinetic energy by a factor of eight (since 2 * 4 = 8). Given the options, the object's velocity doubling would certainly increase the kinetic energy, but for the most significant increase, the most reasonable explanation would be that the object's velocity quadrupled, which would directly increase the kinetic energy by a factor of sixteen.² (since 4² = 16).

What is the kinetic energy of the ball just before it hits the ground?

Answers

Answer:

[tex]0.5mv^{2}[/tex]

Explanation:

Kinetic energy, [tex]KE= 0.5mv^{2}[/tex]

while potential energy, PE= mgh where m is the mass, v is the velocity of the ball, g is acceleration due to gravity and h is the height.

The question requires kinetic energy hence we use the [tex]KE= 0.5mv^{2}[/tex]

Since the figures are not given, we maintain that [tex]KE= 0.5mv^{2}[/tex]

The kinetic energy of a ball just before it hits the ground is its motion energy due to gravitational potential energy conversion. It can be computed using the kinetic energy formula and the ball's mass and velocity. The energy dissipates and converts during the bounce, depending on the coefficient of restitution.

Kinetic Energy Before Colliding with the Ground

The kinetic energy of a ball just before it hits the ground is the energy it has due to its motion. This energy is obtained from the conversion of gravitational potential energy into kinetic energy as the ball falls. Assuming no non-conservative forces are acting on the ball, such as air resistance, the kinetic energy can be calculated using the equation KE = 1/2 mv₂, where m is the mass of the ball and v is its velocity just before impact. The velocity can be found using kinematic equations or the conservation of energy principle. Since its initial potential energy is converted entirely into kinetic energy at the moment before collision, if the height from which the ball was dropped is known and the mass of the ball is given, one can accurately calculate its velocity and consequently its kinetic energy just before the impact.

Conversion and Dissipation of Energy During Bounce

Once the ball collides with the ground, its kinetic energy is temporarily transferred into other forms, including elastic potential energy and thermal energy due to deformation. The coefficient of restitution, represented as e, determines what fraction of the kinetic energy is retained after the collision. Hence, the kinetic energy of the ball just after it bounces up will be a fraction e2 of its initial kinetic energy before the collision. As the ball ascends, this kinetic energy is once again converted back into potential energy.

I NEED HELP ASAP!!!!!!

Answers

It’s B because the speed doesn’t change and the velocity changes.

3. Why do elements in a group have similar properties?

Answers

Answer:

Elements belonging to the same periodic group reflects similar chemical properties because of the same number of valence electrons residing in their outermost orbits that reflect the same energy level.

Explanation:

Elements of a periodic group reflecting similar properties

We often observe that a specific group of elements reflect common characteristics towards other elements. This is because these elements have their valence electrons in the same energy levels.

This is the prime factor according to which elements are kept in a specific group in the periodic table. All elements in the group have the same number of valence electrons. These elements may have different number of electrons over all. Elements belonging to the same group shows the same chemical properties such as bonding with other elements, reacting to other substances etc.

Final answer:

Elements in the same group on the periodic table have similar properties because they have the same number and distribution of valence electrons. This affects how they behave chemically, as represented by the similarities within groups such as the alkali metals and the halogens.

Explanation:

Elements in a group on the periodic table exhibit similar properties due to their similar electron configuration. That is, they all have the same number and distribution of electrons in their valence shells. This shared trait influences how these elements behave chemically. For instance, in Group 1 (the alkali metals), elements like lithium and sodium each have only one valence electron, which makes them highly reactive. Similarly, elements in Group 17 (the halogens) like fluorine and chlorine each have seven valence electrons, making them also very reactive, but in a different way than Group 1 elements. The nature of these group similarities underpins the principle of the periodic table and helps predict how different elements are likely to react.

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A charge of 5.67 x 10-18 C is placed 3.5 x 10 m away from another charge of - 3.79 x 10 "C
What is the force of attraction between them?

Answers

Answer:

1. 579 x 10 ^-22N

Explanation:

F = kq1q2/r^2

   = 9.0 x 10^9 x 5.67 x 10^-18 x 3.79 x 10^-18/ (3.5 x 10^-2)^2

    = 1. 579 x 10 ^-22N

The attraction force between two charges is [tex]1.55 \times 10^{-22} \;\rm N[/tex].

Force Between Two Charges

Coulomb's law is used to find out the force of attraction between two charges placed at a certain distance. This law states that, when two point charges are placed at a distance, the force of attraction between them is proportional to the product of both charges and inversely proportional to the square of the distance between them.

[tex]F \propto q_1q_2[/tex] and [tex]F \propto \dfrac{1}{r^2}[/tex]

[tex]F =K \dfrac {q_1q_2}{r^2}[/tex]

Where K is the coulombs constant whose value is 8.988×109 N⋅m2⋅C−2.

Given that charges q1 and q2 are 5.67 x 10-18 C and 3.79 x 10 "C. The distance r is 3.5 x 10 m. The force of attraction is given below.

[tex]F = 8.98\times 10^9 \dfrac {5.67 \times 10^{-18}\times 3.79 \times 10^{-18}}{(3.5\times 10^{-2})^2}[/tex]

[tex]F = 1.55\times 10^{-22} \;\rm N[/tex]

Hence we can conclude that the attraction force between two charges is [tex]1.55 \times 10^{-22} \;\rm N[/tex].

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John and Daniel are playing tug-of-war together. John is exerting 10 N of force. Daniel is exerting 12 N of force. What is their net force?

Answer: 2 N in Daniel's direction.

Answers

Answer: 2N in Daniel's direction.

Explanation:

Since, both of them are playing a game of tug and war, the resultant(net) force consists of opposing forces.

Net force= 12N-10N = 2N

And the net force is in Daniel's direction because Daniel exerted greater force.

In the tug-of-war scenario between John and Daniel, the net force is 2 N in Daniel's direction, as his force is 12 N compared to John's 10 N. The forces are unbalanced with the larger force determining the direction of the net force.

When John and Daniel play tug-of-war, John exerts a force of 10 N while Daniel exerts a slightly higher force of 12 N. To find the net force, we consider the direction of the forces as well. Since they are exerting forces in opposite directions, the net force is the difference between the two forces. Therefore, the net force is 12 N (Daniel's force) - 10 N (John's force) = 2 N in the direction of the larger force, which is Daniel's direction.

Understanding tug-of-war forces is an interesting way to conceptualize the principles of balanced and unbalanced forces. In this case, the forces are unbalanced because one player is exerting more force than the other, causing the net force to shift in one direction.

Your roommate drops your wallet down to you from the third floor window of your apartment, which is 11.5m from the ground. what is the velocity of the wallet when you catch it. ( Assume you catch the wallet right before it hits the ground)

Answers

Answer:

15.0 m/s

Explanation:

Take the down direction to be positive.

Given:

Δy = 11.5 m

v₀ = 0 m/s

a = 9.8 m/s²

Find: v

v² = v₀² + 2aΔy

v² = (0 m/s)² + 2 (9.8 m/s²) (11.5 m)

v = 15.0 m/s

A 1165 kg car traveling at 55 km/h is brought to a stop while skidding 38 m. Calculate the work done on the car by the friction forces.

Answers

The work done is [tex]-1.36\cdot 10^5 J[/tex]

Explanation:

According to the work-energy theorem, the work done by external forces on the car is equal to the change in kinetic energy of the car. Therefore, we have:

[tex]W=\Delta K\\W = \frac{1}{2}mv^2-\frac{1}{2}mu^2[/tex]

where

W is the work done by the external forces

m is the mass of the car

v is its final velocity

u is its initial velocity

In this problem, we have:

m = 1165 kg

[tex]u=55 km/h =15.3 m/s[/tex]

v = 0 (the car comes to a stop)

Solving for W, we  find the work done by the frictional forces:

[tex]W=\frac{m(v^2-u^2)}{2}=\frac{(1165)(0-15.3^2)}{2}=-1.36\cdot 10^5 J[/tex]

Where the negative sign indicates that the direction of the force is opposite to the direction of motion of the car.

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Which of the following is a vector quantity?
O
A. 35.6 pounds at 3 years old
O
B. 25 gallons of water
O
C. 100 mph maximum
O
D. 30 m/s going west
?

Answers

Answer:

D

Explanation:

30ms-1 going west is vector quantity.

What is a vector quantity? It is a quantity that has both direction and magnitude.

In the first three options there is only magnitude, like weight age and things.

But the last one has both magnitude and direction.

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Answer D as it has both magnitude and direction

What type of energy is formed when an object encounters friction?​

Answers

Answer:

thermal energy

Friction does negative work and removes some of the energy the person expends and converts it to thermal energy. The net work equals the sum of the work done by each individual force. The forces acting on the package are gravity, the normal force, the force of friction, and the applied force.

Explanation:

Answer:

Explanation:

Thermal energy due to heat coming in from rubbing like rubbing your hand and it feel warm

If an airplane undergoes a displace-
ment of 500. km northwest in 1.2 hr,
what is its average velocity?

Answers

The formula for velocity is distance divided by time, or d/t. The distance is 500 km and the time is 1.2 hours. 500/1.2 is 416.6 km/hr.

Final answer:

The average velocity of the airplane is calculated using the formula: velocity equals displacement divided by time. For a displacement of 500 km northwest over 1.2 hours, the average velocity is 416.67 km/h northwest.

Explanation:

Calculating Average Velocity

To calculate the average velocity of an airplane that has a displacement of 500 km northwest in 1.2 hours, we need to use the formula for average velocity, which is the displacement divided by the time taken. Since the displacement is given as a northwest direction, we are dealing with vector quantities, meaning that both magnitude and direction are important. However, for average velocity, we are concerned with the magnitude of this vector quantity.

The formula to calculate average velocity, v, is:

v =[tex]rac{d}{t}[/tex]

In this problem:

Displacement (d) = 500 km northwest

Time (t) = 1.2 hours

To find the average velocity, we divide the displacement by the time:

v =   rac{500}{1.2}   = 416.67 km/h northwest

The airplane's average velocity is 416.67 km/h in the northwest direction.

Normally the rate at which you expend energy
during a brisk walk is 3.5 Calories per minute.
(A Calorie is the common unit of food energy,
equal to 4184.1 Joules.)
How long do you have to walk in order to
produce the same amount of energy as in a
candy bar (approximately 280 Cal)?
Answer in units of min.

please help

Answers

Based on the calculations, you would have to walk for 80 minutes to expend the same amount of energy.

Given the following data:

Rate of energy = 3.5 Calories per minute.1 Calorie = 4184.1 Joules.Candy bar energy = 280 Calories.

How to calculate the time.

Mathematically, the rate of energy expended with respect to time is given by this formula:

[tex]Rate = \frac{Energy}{time}[/tex]

Making time the subject of formula, we have:

[tex]Time = \frac{Energy}{Rate}[/tex]

Substituting the given parameters into the formula, we have;

[tex]Time = \frac{280}{3.5}[/tex]

Time = 80 minutes.

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Final answer:

To produce the same amount of energy as in a candy bar, you would need to walk for 80 minutes at a rate of 3.5 Calories per minute.

Explanation:

To calculate the time it would take to produce the same amount of energy as in a candy bar, we can use the equation:

Energy = Power x Time

Given that the rate at which energy is expended during a brisk walk is 3.5 Calories per minute and the energy in a candy bar is approximately 280 Cal, we can rearrange the equation to solve for Time:

Time = Energy / Power

Substituting the given values, we have:

Time = 280 Cal / 3.5 Cal/min = 80 min

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Spiral, elliptical, irregular, and barred spiral are descriptions of different shapes of ________. A. stars B. galaxies C. solar systems D. orbits

Answers

Answer:

B. galaxies

Explanation:

Galaxies are clusters of stars, gas and dark matter. They are classified based on the shape they form. There are three main categories: Spiral, elliptical, and irregular. As their named suggests, that is what they look like.

Barred spiral galaxies are a subcategory of spiral galaxies. The nucleus of the galaxy (Center) a bar material is formed and arms branch out from the ends of it.

Some galaxies on the other hand, do not fit the main categories.

Attached is a picture of the common and uncommon categories of galaxies.

How much momentum does a 5 kg bowling ball have when its traveling at a velocity of 8 m/s? Question 6 options: 40 kg*m/s 0.625 kg*m/s 3 kg*m/s 1.6 kg*m/s

Answers

Answer:

The momentum of the bowling ball is 40 kg m/s.

Explanation:

Momentum is defined as the product of mass and velocity acting on that object. So it is a measure of the change in the velocity for the given force with the mass of the object.

Momentum = Mass × Velocity.

As the mass of the object is given as 5 kg and the velocity is given as 8 m/s, then the momentum will be

Momentum = 5 kg × 8 m/s = 40 kg m/s.

So, the momentum of the bowling ball is 40 kg m/s.

A piece of metal is 4 cm by 10 cm
by 2 cm. Find its mass if it has a
density of 2 g/cm'.​

Answers

Answer:

m=ρV

V=LxWxD

V=4x10x2=80

m=2*80=160 grams

Explanation:

Mass is equal to density multiply by volume of object. Volume of rectangle pice can be calculated by multiplying all sides.

Final answer:

The mass of the metal piece is calculated by first obtaining the volume, which is 80 cm³, and then using the density to find the mass, resulting in a mass of 160 g.

Explanation:

Metals are components or with brilliant, hard, moldable, blending, pliable properties. Name of metal (material) types are - Gold, Silver, Aluminum, Copper, Iron, and so on. They are utilized to create devices as they might be strong and effectively formed.

To find the mass of a piece of metal with given dimensions and density, first calculate its volume and then apply the formula for mass. The volume of a rectangular piece of metal is found by multiplying its length, width, and height.

Volume = Length x Width x Height = 4 cm x 10 cm x 2 cm = 80 cm³.

Once the volume is known, the mass can be calculated using the given density:

Mass = Density x Volume = 2 g/cm³ x 80 cm³ = 160 g.

Therefore, the mass of the metal piece is 160 grams.

A 59 kg physics student is riding her 220 kg Harley at 12 m/s when she has a head-on collision with a 2.1 kg pigeon flying the opposite direction at 44m/s. The bird is still on the motorcycle after the collision. How fast is the motorcycle going after the collision?

Answers

Answer:

Explanation:

Using conservation of momentum

[tex]m_1=59+220=279kg[/tex]

[tex]m_2=2.1kg[/tex]

[tex]U_1=12m/s[/tex]

[tex]U_2=-44m/s[/tex]

[tex]m_1U_1+m_2U_2=(m_1+m_2)V\\\\\frac{278\times 12-2.1\times 44}{279+2.1}=V\\\\V=11.58m/s[/tex]

The velocity of the motorcycle after collision is 11.6 m/s.

Conservation of linear momentum

Using the principle of conservation of momentum, the total momentum of the system remains constant. Hence, momentum after collision must be equal to momentum before collision.

Thus;

[(55 + 220) Kg * 12 m/s] +  2.1 kg * (-44m/s) = (55 + 220 + 2.1) v

3300 - 92.4 = 277.1v

v = 3300 - 92.4/277.1

v = 11.6 m/s

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1. A container has a mass of 36 kg. How much does the container weigh?

Answers

Answer:

Explanation:The container weighs 352.8

w = mg —> w = (36kg)(9.8m/s^2) —> w = 352.8N

As a bike accelerates from rest, it gains

Answers

Answer:

kenetic energy

When you arent moving something its called potential enegy when its moving it changes into kinetic energy

Answer:

momentum, speed, velocity, and kinetic energy

Explanation:

objects with three very different sizes and weights are dropped off a tower on the moon. which factor of the objects will determine which hits the ground first?

1) size
2) weight
3) shape
4) none of these matter. with no air resistance, they all hit the ground at the same time.​

Answers

4) none of these matter. with no air resistance, they all hit the ground at the same time.​

Explanation:

The motion of the objects is a free fall motion, since the only force acting on them is gravity. Therefore, it is a uniformly accelerated motion with constant acceleration [tex]g[/tex] (acceleration of gravity) towards the ground, and so we can find the time of flight by using the suvat equation:

[tex]s=ut+\frac{1}{2}at^2[/tex]

where

s is the vertical displacement (equal to height of the tower)

u = 0 is the initial velocity

t is the time

[tex]a=g[/tex] is the acceleration

Re-arranging the equation.

[tex]t=\sqrt{\frac{2s}{g}}[/tex]

As we can see, the time of flight depends only on the height of the tower (s) and the acceleration due to gravity (g): therefore, the three objects reach the ground at the  same time.

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A student walks 144 m west, and then turns around and walks 89 m east If this takes place in a 7.5-minute interval, what is the student's average velocity in meters
second? What is the student's average speed?​

Answers

The average speed is 0.517 m/s

The average velocity is 0.12 m/s west

Explanation:

When dividing the total distance covered by object by time, we get the value for average speed.

[tex]\text { speed }=\frac{\text {distance}}{\text {time}}[/tex]

Calculate the distance without consideration of motion’s direction. So, the distance walks 144 m first, and then another 89 m, so the total distance covered is

d = 144 + 89 = 233 meters

Given t = 7.5 minutes. Convert minute into seconds,  

[tex]7.5 \times 60=450 \text { seconds }[/tex]

So, the average speed can be calculates as below,

[tex]\text { speed }=\frac{233}{450}=0.517 \mathrm{m} / \mathrm{s}[/tex]

When dividing the object’s displacement by time taken, we can calculate average velocity.

[tex]\text {velocity}=\frac{\text {displacement}}{\text {time}}[/tex]

In given case, the students walks 144 m west first, and then 89 m east. The displacement is the distance in a straight line between the initial and final position: therefore, in this case, the displacement is

d = 144 (west) - 89 (east) = 55 m (west)

The time taken is t = 450 s

So, the average velocity is

[tex]\text {velocity}=\frac{55}{450}=0.12 \mathrm{m} / \mathrm{s}[/tex]

And the direction is west (the same as the displacement).

BRAINLIEST:

How do forecasters predict hurricanes?

Answers

Weather forecaster can predict hurricanes through two methods:

by calculating the seasonal probabilitiesby estimating the recent hurricane scenarios.

Explanation:

Prediction of Hurricanes

With the help of elementary statistics, meteorologists can predict the intensity of hurricanes coming in specific regions with the approximate wind speeds. The possible trajectory of hurricanes can be drawn as a cone which is updated by estimating the error in the prediction.

Based on the past events of hurricanes and the current climate conditions, a statistical regression equation is formed. There are many many models such as NHC90 and BAM that help meteorologists to predict the intensity of waves and eventually the probability of hurricanes coming in specific regions.

The table below shows the average wind speeds of four hurricanes in Florida. Florida Hurricanes Hurricane | Average Wind Speed (miles per hour)|
A | 160|
B | 95|
C | 140|
D | 103|
Which hurricane most likely caused the greatest damage?
Hurricane A Hurricane B Hurricane C Hurricane D

Answers

Answer:

The Saffir-Simpson Hurricane Wind Scale is a 1 to 5 rating based on a hurricane's sustained wind speed. This scale estimates potential property damage. Hurricanes reaching Category 3 and higher are considered major hurricanes because of their potential for significant loss of life and damage. Category 1 and 2 storms are still dangerous, however, and require preventative measures. In the western North Pacific, the term "super typhoon" is used for tropical cyclones with sustained winds exceeding 150 mph. Note that all winds are using the U.S. 1-minute average.

Category One Hurricane

     Winds 74-95 mph (64-82 kt or 119-153 km/hr). Very dangerous winds will produce some damage: Well-constructed frame homes could have damage to roof, shingles, vinyl siding and gutters. Large branches of trees will snap and shallowly rooted trees may be toppled. Extensive damage to power lines and poles likely will result in power outages that could last a few to several days. Irene of 1999, Katrina of 2005, and several others were Category One hurricanes at landfall in South Florida.

 

Category Two Hurricane

     Winds 96-110 mph (83-95 kt or 154-177 km/hr). Extremely dangerous winds will cause extensive damage: Well-constructed frame homes could sustain major roof and siding damage. Many shallowly rooted trees will be snapped or uprooted and block numerous roads. Near-total power loss is expected with outages that could last from several days to weeks. Frances of 2004 was a Category Two when it hit just north of Palm Beach County, along with at least 10 other hurricanes which have struck South Florida since 1894.

 

Category Three Hurricane

    Winds 111-129 mph (96-112 kt or 178-208 km/hr). Devastating damage will occur: Well-built framed homes may incur major damage or removal of roof decking and gable ends. Many trees will be snapped or uprooted, blocking numerous roads. Electricity and water will be unavailable for several days to weeks after the storm passes. Unnamed hurricanes of 1909, 1910, 1929, 1933, 1945, and 1949 were all Category 3 storms when they struck South Florida, as were King of 1950, Betsy of 1965, Jeanne of 2004, and Irma of 2017.

 

Category Four Hurricane

     Winds 130-156 mph (113-136 kt or 209-251 km/hr). Catastrophic damage will occur: Well-built framed homes can sustain severe damage with loss of most of the roof structure and/or some exterior walls. Most trees will be snapped or uprooted and power poles downed. Fallen trees and power poles will isolate residential areas. Power outages will last weeks to possibly months. Most of the area will be uninhabitable for weeks or months. The 1888, 1900, 1919, 1926 Great Miami, 1928 Lake Okeechobee/Palm Beach, 1947, Donna of 1960 made landfall in South Florida as Category Four hurricanes.

Final answer:

Hurricane A most likely caused the greatest damage as it is categorized as a Category 5 hurricane with wind speeds exceeding 155 mph, known for catastrophic impact.

Explanation:

Based on the data provided, Hurricane A, with an average wind speed of 160 miles per hour, most likely caused the greatest damage. According to the Saffir-Simpson Hurricane Scale, Hurricane A's wind speed places it as a Category 5 hurricane. Category 5 hurricanes have sustained winds of more than 155 miles per hour and are known for catastrophic damage, including destroying buildings, roofs, and structures, as well as uprooting trees and shrubs. As such, the hurricane with the highest wind speeds is usually expected to cause the most severe destruction. This is further supported by the fact that the power of a hurricane scales as the cube of wind velocity, and given that velocities exceed 50 m/s (approximately 110 mph), the intensity and potential for destruction grows significantly with increases in wind speed.

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