A student drops a ball off the top of building and records that the ball takes 2.55s to reach the ground. Determine all unknowns and answer the following questions. Neglect drag.

Answers

Answer 1

The unknown variables in the model equation for ball's motion include vertical distance traveled by the ball which is 31.86 m and the final velocity of the ball which is 25 m/s.

The given parameter;

time of motion of the ball, t = 2.55 s

The equations that model the motion of the ball is given as follows;

[tex]h = v_0_y + \frac{1}{2} gt^2[/tex]

[tex]v_f = v_0_y + gt[/tex]

All the unknown variables in the equations include;

[tex]v_0_y[/tex] is the initial vertical velocity of the ball, = 0g is the acceleration due to gravity = 9.8 m/s²h is the vertical distance traveled by the ball = ?[tex]v_f[/tex] is the final velocity of the ball = ?

The vertical distance traveled by the ball is calculated as follows;

[tex]h = \frac{1}{2} gt^2\\\\h = 0.5 \times 9.8 \times 2.55^2\\\\h = 31.86 \ m[/tex]

The final velocity of the ball is calculated as follows;

[tex]v_f = 0 + 9.8(2.55)\\\\v_f = 25 \ m/s[/tex]

Thus, the unknown variables in the model equation for ball's motion include vertical distance traveled by the ball which is 31.86 m and the final velocity of the ball which is 25 m/s.

Learn more here:https://brainly.com/question/24018491


Related Questions

which contains the particles that are vibrating fastest?

Answers

Answer:

Boiling water

Explanation:

The graph below represents the relationship between velocity and time of travel for a toy car moving in a straight line.the shaded area under the line represents the toy cars

Answers

Answer:

Displacement

Explanation:

The definition of speed and the graphical analysis allows to find the result for the question of the meaning of the area under the curve is:

The area corresponds to the displacement of the body.

Velocity is defined as the variation of position with respect to time.

      [tex]v = \frac{dx}{dt}[/tex]  

Where v is the velocity, x the displacement and t the time.

If we make a graph of speed versus time, see attached, where we have a diagram of the process.

The expression of the velocity for the case of zero acceleration is

      [tex]v = \frac{\Delta x}{\Delta t }[/tex]  

      Δx = v  Δt

They indicate that the shaded section is under the curve, therefore it is

        Area = Δv Δt

When comparing the two expressions they are equivalent, therefore the area is equal to the distance traveled.

In conclusion, using the definition of velocity and graphical analysis we can find the result for the question of the meaning of the area under the curve is:

The area corresponds to the displacement of the body.

Learn more here: https://brainly.com/question/823079

How is temperature related to the physical change of a substance

Answers

Answer:

Temperature is a measure of the kinetic energy of particles in a substance. As temperature increases, the atoms or molecules in a substance gain energy. As temperature decreases, the particles lose energy. A change in the energy of particles causes a change in their arrangement. A change in the arrangement of particles can lead to a physical change.

Explanation:

Brainliest pls

Below is a diagram of a weight on a spring. When the weight is pulled down and then released, the spring compresses and expands. Each position indicates a different point in time.

Which of the following statements is true?
a
In all four positions, mechanical energy is 0 J.
b
The elastic potential energy of the spring at Position 2 is converted to kinetic energy.
c
The chemical potential energy of the spring is greatest at Position 4.
d
In all four positions, the gravitational potential energy of the spring is the same.

Answers

Answer:

B.

Explanation:

The elastic potential energy of the spriy at position 2 is converted to kinetic energy.

The elastic potential energy of the spring at Position 2 is converted to kinetic energy. Option (B) is correct.

What is potential energy?

The energy held within an object is known as potential energy. There are several different types of potential energy, including gravitational potential energy, elastic potential energy, and electric potential energy.

Here, the energy that an object possesses as a result of its position in relation to other objects is referred to as its gravitational potential energy.

Elastic potential energy is the energy that an object possesses as a result of the stresses that exist inside its body.

At  Position 2, the elastic potential energy of the spring is converted to kinetic energy.

Learn more about potential energy here:

https://brainly.com/question/24284560

#SPJ2

what is occurring when a light wave goes through a pane of glass in a window?

Answers

Answer:

transmission: the passing of a wave through an object

Explanation:

una fila di ballerini lunga complessivamente 2,3 m sta avvicinandosi perpendicolarmente a uno specchio. Se il primo ballerino, essendo miope, percepisce i contorni in modo nitido degli oggetti lontani al massimo 6 m, a quale distanza dallo specchio comincerà a vedere chiaramente l'ultimo ballerino della fila?

Answers

Answer:

A Benjamin Franklin

B George Washington

C Abraham Lincoln

D John Adams

who invented the first telescope​

Answers

Answer:

Hans Lipperhey

....................................

Hans Lipperhey and Lyman Spitzer

In your own words, explain why elements
such as gold and silver are so rare to be
found in our Universe or within the Earth?

Answers

They are rare because of what they are made up of, and how gold has been mined for so long its hard to even find it any more also because of supply and demand,,

(used my own words there, hope this helps)

A spacecraft orbiting a planet at an altitude of 120 km releases a satellite that falls towards the surface. The planet has a mass of 5.2 x 10^23 kg and a radius of 2800 km. What is the acceleration of the satellite?

Answers

Answer:

Consider a satellite with mass Msat orbiting a central body with a mass of mass MCentral. The central body could be a planet, the sun or some other large mass capable of causing sufficient acceleration on a less massive nearby object. If the satellite moves in circular motion, then the net centripetal force acting upon this orbiting satellite is given by the relationship

Fnet = ( Msat • v2 ) / R

Explanation:

The acceleration of the satellite released from a spacecraft orbiting a planet at an altitude of 120 km and the planet has a mass of 5.2 x 10^23 kg and a radius of 2800 km is 4.426 *  [tex]10^6[/tex]  [tex]m/s^2[/tex].

What is acceleration?

The term "acceleration" refers to the rate and direction at which velocity varies over time. Acceleration is the change in direction or speed of an object or points moving ahead. The frequent change in direction causes motion on a circle to rise even when the speed remains constant.

For all other motions, these effects increase the acceleration. A vector quantity, acceleration, is something that has both a magnitude and a direction. Velocity is a vector quantity as well.

Given:

The altitude of the spacecraft, h = 120 km,

The mass of the planet, m = [tex]5.2 * 10^{23}[/tex] kg,

The radius of the planet, r = 2800 km.

Calculate the acceleration by the formula given below,

A = [tex]G* m /r^2[/tex]

Here, A is the acceleration, G is the gravitational constant,

Substitute the values,

A = 6.674 * [tex]10^{-11}[/tex] *5.2 * [tex]10^{23}[/tex] / [tex]2800^2[/tex]

A = 4.426 *  [tex]10^6[/tex]  [tex]m/s^2[/tex]

Therefore, the acceleration of the satellite is 4.426 *  [tex]10^6[/tex]  [tex]m/s^2[/tex]

To know more about Acceleration:

https://brainly.com/question/3046924

#SPJ2

to analyze the characteristics and performance of the brakes on a 1500 kg car, researchers collected the data shown in the table above. it shows the car’s speed when the brakes are first applied and the corresponding braking distance required to stop the car. the magnitude of the average braking force on the car is most nearly:

Answers

He magnitude of the average braking force is 12,000 N.

The braking force can be calculated using the following formula:

Braking Force = (0.5 x mass of the car x squared velocity) / distance

Now, let's use this formula to find the Braking force in each case based on the information of the chart:

F = (0.5 x 1,500 x 100) / 6.1  =  12,295F = (0.5 x 1,500 x 400) / 23.9 = 12,550F = (0.5 x 1,500 x 900) / 53.5 = 12,616

Now, let's add the results and divide the result into three to find the average:

12,295 + 12,550 + 12,616 = 37,461/ 3 = 12,487

From these, the option that is the most similar is C 12,000 N

Learn more in: https://brainly.com/question/5187728

An airplane during departure has a constant acceleration of 3 m / s².

a. What is the speed that the plane reaches in 4 s?
b. If the plane passes at a flight point of
at a speed of 20 m / s, what is the speed 8 s later?​

Answers

Constant acceleration of plane = 3m/s²

a) Speed of the plane after 4s

Acceleration = speed/time

3m/s² = speed/4s

S = 12m/s

The speed of the plane after 4s is 12m/s.

b) Flight point will be termed as the point the plane got initial speed, u, 20m/s

Find speed after 8s, v

a = 3m/s²

from,

a = v - u

t

3 = v - 20

8

24 = v - 20

v = 44m/s

After 8s the plane would've 44m/s speed.

Physics - Vectors-- Could you help me please?

Answers

Answer:

please share the question

Explanation:

Why is the oort cloud important for understanding the formation of the solar system?

Answers

The Oort cloud is the proximate source of observed nearly parabolic, so-called 'new' comets entering the planetary region, and is also the presumed source of the long-period comet flux and the majority of Halley-type comets (HTCs).

The oort cloud is important for understanding the formation of the solar system.

What is oort cloud?

It is believed to be an important source of comets that can provide valuable information about the conditions and processes that were present in the early solar system.

Here,
The Oort Cloud is important for understanding the formation of the solar system because it is believed to be a reservoir of icy bodies that formed early in the solar system's history. These icy bodies, which include comets, are thought to have played a key role in the early evolution of the solar system by delivering water and other volatile materials to the inner solar system, including the early Earth.

By studying the composition and properties of comets from the Oort Cloud, scientists can gain insights into the formation and evolution of the solar system and learn more about the conditions that were present in the early solar system.

Learn more about oort clouds here:
https://brainly.com/question/23368033
#SPJ6

15. A boy on board a cruise ship drops a 30.0 gram marble into the ocean. If the resistive force proportionality
constant is 0.50 kg/s, what is the terminal speed of the marble in m/s?

a. 0.06
b. 0.294
c.0.588
d. 60.0
e. 588.0

Answers

Answer
I could be wrong but I’m pretty sure it’s C
Explanation

__________ invented the analytical engine, a machine that did calculations.

Answers

Answer:

Charles Babbage

Explanation:

Analytical Engine, generally considered the first computer, designed and partly built by the English inventor Charles Babbage in the 19th century (he worked on it until his death in 1871).

in each of five scenarios, a 1 kg mass is attached to the end of a massless stick by a massless string. each stick is motionless. rank the torques acting on each stick due to the tension in the attached string. take the axis of rotation in each case to be the end of the stick opposite the string.

Answers

Answer:

C=A>B>E>D

Explanation:

which of the following is a selectively permeable membrane?

a) nulcer membrane
b) plasma membrane
c) cell wall
d)none of these​

Answers

Answer:

B

Explanation:

The plasma membrane is a selectively premeable membrane that chooses what goes in and out of the cell. The cell wall is for support and the nuclear membrane decides what goes in and out of the nucleus

Answer:

Plasma membrane

Explanation:

The plasma membrane consists of a lipid bilayer that is semipermeable.The plasma membrane regulates the transport of materials entering and exiting the cell.So, it is selectively permeable membrane.

Why does the force between the locomotive and the first car always have to be larger
than the force between the first car and the second?

Answers

Answer:

Because the locomotive does most of the pulling

In star wars, john williams used the __________ concept of romantic opera in which a character is assigned a short melody. so, famous characters like darth vader, princess leia, and han solo all have their own melody.

Answers

In Star Wars, John Williams used the Leitmotif concept of romantic opera in which a character is assigned a short melody.

It is used for famous characters like Darth Vader, Princess Leia, and Han Solo all have their melody.

Leitmotif is generally described as a recurring theme shown or appears over musical or literary composition.

Leitmotif is more common in operas and symphonic poems. It is attributed to a specific person, idea, or situation.

Hence, in this case, it is concluded that in the movie Star Wars, John Williams used the Leitmotif concept of romantic opera.

Learn more here: https://brainly.com/question/14159447

please someone should help me and solve this is under Hooke's law ​

Answers

[tex]F=k(l_1-l_2)[/tex]

[tex]10=5k[/tex]

[tex]k=2[/tex]

[tex]15=2*(30-l_2)[/tex]

[tex]15=60-2l_2[/tex]

[tex]2l_2=45[/tex]

[tex]l_2=22,5cm[/tex]

A book is to be produced with pages of thickness 0.125mm.If the book is to be exactly 1cm thick what is the maximum number of pages it can contain?​

Answers

Answer:

1cm=10mm

10cm/0.125mm

80pages

A cheetah running initially at a velocity of 20 m/s accelerates
uniformly at 3.0 m/s. The velocity of the cheetah will be
m/s after 4.0 seconds.

Answers

Answer: I think it’s 32 m/s

Explanation: Vi=20 m/s

Vf=?

a=3.0 m/s^2

t= 4s

Vf= Vi + at

Vf= 20 m/s + (3 m/s^2)(4s)

Vf= 20 m/s + 12m/s

Vf= 32m/s

If A cheetah running initially at a velocity of 20 m/s accelerates

uniformly at 3.0 m/s2. The velocity of the cheetah after 4.0 seconds will be 32 m/s.

To find the velocity of the cheetah after some time we can use the formula:

v = u + at

where:

v = final velocity

u = initial velocity

a = acceleration

t = time

Given:

Initial velocity (u) = 20 m/s

Acceleration (a) = 3.0 m/s²

Time (t) = 4.0 seconds

now we can put values in eq.

v = 20 m/s + (3.0 m/s²) * 4.0 s

v = 20 m/s + 12 m/s

v = 32 m/s

so the answer is 32 m/s.

To learn more about Acceleration, here:

brainly.com/question/2303856

#SPJ3

Explain why adding ice to a drink can cause water droplets (condensation) to appear on the outside of the glass? ​

Answers

Answer:

it just condensed you know it isn't a big deal whatever happens does change anything

how would a rock respond to stresses applied at depth?

Answers

The rock will compress as the stress applied increases with depth and it will break when it cannot withstand the stress.

The pressure or stress on the rock is defined as force per unit area of the rock which equally increases with depth. This can be expressed as follows;

[tex]P= \frac{F}{A}\\\\P = \rho gh[/tex]

where;

P is the pressure applied to the blockA is the area of the rock h is the depth in which the rock is subjected to g is acceleration due to gravity

Thus, we can conclude that the stress on the rock will increase with increase in depth. The rock will compress as the stress applied increases with depth and it will break when it cannot withstand the stress.

Learn more here:https://brainly.com/question/772926

a spring vibrates 120 times in 2 mins find its frequency and time period​

Answers

2 minutes is 120 seconds, so if you were finding vibrations per minute, it would be 60 times a minute.

Two rocks are at the top of a building. Rock 1 is dropped from rest while Rock 2 is thrown horizontally at a velocity of 5 m/s.What is the horizontal acceleration of Rock 2

Answers

The horizontal acceleration of the rock 2 is zero.

The given parameters;

initial velocity of Rock 1 = 0

initial horizontal velocity of Rock 2 = 5 m/s

An object falling under the influence of gravity experiences acceleration due to gravity which is always directed vertically downwards.

An object moving horizontally is not affected by gravity and thus will experience no acceleration in the horizontal direction.

Thus, we can conclude that the horizontal acceleration of the rock 2 is zero.

Learn more here:https://brainly.com/question/18416142

A car accelerated from rest in 3.07s. During this time, the car went 46m forward. What was its acceleration?

_______m/s/s

Answers

Vi=0
T=3.07s
D=46m
A=?
A=2(d)/t ^2
2(46)/3.07^2=9.8m/s^2

what can be done not to let anyone of the country be hungry and clothless discuss in groups and present your findings in the class​

Answers

...get food to people in need when they need it...

a car in tally at rest pics up and velocity of 72 km/h ^−1over a distance of 25m the acceleration of car is​

Answers

Answer:

16 m/s^2

You find out the time first which is 1.25s

A boy throws a tennis ball of mass 3kg at a wall with velocity of 40m/s.If it bounces back with 35m/s in an impact that lasted for 0.01s the change in its linear momentum and the force exerted on the tennis by the wall are

Answers

Answer:

The change in the linear momentum is 225 kg.m/s and the force exerted on the tennis ball is 22,500 N.

Explanation:

What is linear momentum?

Linear momentum is the measure of a body's motion. Every object that has mass and moves at any velocity has linear momentum. Here are some examples of everyday life: falling balls, launching rockets, driving a car etc.

Now let's attack the problem.

First, we got to write the data down:

[tex]\bullet \quad m=3\,kg\\\\\bullet \quad v_o=40\,m/s\\\\\bullet \quad v=35\,m/s\\\\\bullet \quad \Delta t =0.01\,s[/tex]

We can write the change in linear momentum of the tennis ball as follows:

[tex]\Delta p = p-p_o[/tex]

The ball's momentum is equal to its mass times its velocity. Hence:

[tex]\Delta p= m\cdot v-m\cdot v_o[/tex]

Let's set the reference system as positive to left (see picture attached). For that purpose, when the ball bounces back its velocity changes sign.

Now, we are able to plug in the data:

[tex]\Delta p = 3\cdot 35 - 3\cdot(-40)\\\\\\\Delta p = 105+120\\\\\\\therefore \boxed{\Delta p =225\,kg\cdot m/s}[/tex]

To calculate the exerted force, we must apply the impulse theorem, which states that impulse equals the change in linear momentum of an object. We get:

[tex]\mathbb{I}=\Delta p[/tex]

Hence,

[tex]F \cdot \Delta t=\Delta p\\\\\\F\cdot 0.01=225\\\\\\F=\dfrac{225}{0.01}\\\\\\\therefore \boxed{F=22,\!500\,N}[/tex]

Conclusion: the change in linear momentum is 225 kg . m/s and the exerted force is 22,500 N.

Keep learning physics:

Work

https://brainly.com/question/25122714

Happy studying!

Brainly Team

Other Questions
The diagram below shows a small ant and an ant find the difference in length of the two large ants . Help pls Archimedes drained the water in his tub. The amount of water left in the tub (in liters) as a function of time (in minutes) is graphed. How much water was initially in the tub? The product of a numberX and 40A.X-40B. X+40C 40xD. X/40 Need help Plz i have only 20 min Apparatus and materials to determine if the population size of the fish in the pond is dependent or independent on the temperature of water A. Read each sentence. Circle the adjective and underline the noun. Follow the model.Modelo Enrique es un joven serio.1. Mi primo es joven.2. Mis hermanas son chicas jvenes.3. Carlos y Pedro son chicos deportistas.4. T eres una persona paciente,5. Yo soy una chica trabajadora.Yli6. Nosotras somos estudiantes serias.the adiective that describes it How do you remove a filter in Excel?O Clear FilterO De-FilterO Cancel FilterO Halt Filter One fourth of a Number decreased by three is at least two. you are ramesh , secretary of your society write a notice on the notice board of our society awaring the people about the pollution caused by crackers and suggest them not to burst crackers on diwali The five numbers 4, 9, 15, 20, and 27 are placed in the boxes below to make a true statement. What is the sum of the numbers placed in the boxes in the numerators on the left-hand side: AcellusChoose SSS, SAS, or neither to comparethese two triangles.Help ResourcesSASneitherSSS (6x + 1)(5x + 8) help please Study the image. Global winds. Blue arrows designate cool air. Red arrows designate warm air. Cool air moves from the South and North Poles toward 30 degrees latitude. Warm air moves from 30 degrees latitude toward the equator. Which statement best describes what the arrows represent? Air continuously blows away from the equator. Air flows in different directions over long distances. Air moves from regions of low pressure to high pressure. Air circulates in an upward direction, creating surface winds. what country has a national park called the ""valley of flowers""? In a market economy, prices are the signals that guide the allocation of scarce resources. Look at the situations and complete the sentences to say what is going to happen. 1. Rani has passed the grade four final exams. She ____________ 2. Mohan has fallen off his bicycle and got badly hurt. People_______ hospital 3. He has sold his old car. He _________ 4. Mr. Thapa has a cinema ticket in his pocket. He _______ film 5. Rupa likes the red sweater on display at the shop. She has enough money for it. She _______ Neisha ate 1/3 of her birthday cake. If her 3 younger siblings divided the rest equally, what fraction of the cake did they each get? Solve the math problem Cules son las desventajas de un ensayo? ballot measures sponsored by businesses or business groups are much more likely to pass than those initiatives sponsored by citizen groups. true or false?