A boy throws a baseball onto a roof and it rolls back down and off the roof with a speed of 3.80 m/s. If the roof is pitched at 38.0° below the horizon and the roof edge is 3.30 m above the ground, find the time the baseball spends in the air and the horizontal distance from the roof edge to the point where the baseball lands on the ground. HINT

Answers

Answer 1

Answer:

a) The baseball spends 0.674 seconds in the air

b) The horizontal distance from the roof edge to the point where the baseball lands on the ground = 2.02 m

Explanation:

The ball's initial speed, u = 3.8 m/s

θ = 38°

The edge of the roof has a height, H = 3.30 m

The vertical motion of the baseball can be given by the equation:

[tex]H = U_{y} t + 0.5a_{y} t^{2}[/tex].........(1)

Vertical acceleration of the baseball, [tex]a_y = 9.8 m/s^2[/tex]

The vertical component of the initial speed can be calculated by:

[tex]U_y = Usin \theta\\U_y = 3.8 sin 38\\U_y = 2.34 m/s[/tex]

Substituting the appropriate values into equation (1):

[tex]3.8 = 2.34 t + 0.5(9.8)} t^{2}\\4.9t^2 + 2.34t - 3.8 = 0[/tex]

Solving for t in the quadratic equation above:

t = 0.674 s

To calculate the horizontal distance, S, use the formula below:

[tex]S = U_xt + 0.5a_xt^2[/tex]

Horizontal acceleration of the baseball, [tex]a_x = 0 m/s^2[/tex]

The horizontal component of the initial speed can be calculated as:

[tex]U_x = Ucos \theta\\U_x = 3.8 cos 38\\ U_x = 2.99 m/s[/tex]

S = 2.99(0.674) + 0.5(0)

S = 2.02 m


Related Questions

An 80-kg hiker climbs to the top of a tall hill and builds up 470,000 J of gravitational potential energy. How high did the hiker climb? meters

Answers

Answer:

599 meters is the answer rounded to the nearest whole number and 599.489795918 meters is the complete answer

Explanation:

to find gravitational potential energy you multiply mass x acceleration due to gravity (always 9.8 on earth) x hight

since we know the gravitational potential energy and want to find out the hight, we take the gravitational potential energy (470,000) and divide it by the product of acceleration due to gravity x mass (9.8 x 80)

so how high the hiker climbed is equal to 470,000 divided by (9.8 x 80)

hight = 470,000 / (9.8 x 80)

hight = 470,000 / 784

hight = 599.489795918 meters

as for rounding, if the decimal is less than 5 you round "down" and keep the current whole number, if the decimal is 5 or greater you round "up" and add 1 to get your new number

Answer:

actually its 600

Explanation:

on edge2020

At what point on a roller coaster is the kinetic energy increasing? As it is going down the hill. At the top of the hill. As it is climbing the hill. At the bottom of the hill.

Answers

Answer:

As it is going down the hill

Explanation:

Answer:

As it is going down the hill.

A train starts from rest .It moves through 1km in 100s with uniform accelaration . What will be its speed at the end pf 100 s

Answers

Answer:

Explanation:

Distance = 1 km

= 1000m

Time = 100 sec

Speed = distance / time

= 1000 / 100

= 10 m/s

a rollercoaster car is moving 19.8 m/s on flat ground when it’s hits the brakes. it decelerates at -3.77 m/s^2 over the next 45.8 m. how much time does it take?

Answers

Answer:

3.44 s

Explanation:

Given:

Δx = 45.8 m

v₀ = 19.8 m/s

a = -3.77 m/s²

Find: t

Δx = v₀ t + ½ at²

45.8 = 19.8 t + ½ (-3.77) t²

45.8 = 19.8 t − 1.885 t²

1.885 t² − 19.8 t + 45.8 = 0

t = [ -b ± √(b² − 4ac) ] / 2a

t = [ 19.8 ± √((-19.8)² − 4 (1.885) (45.8)) ] / 2(1.885)

t = [ 19.8 ± √(392.04 − 345.332) ] / 3.77

t = 3.44 or 7.06

The first time, 3.44 seconds, is correct.

The second time is the time it would take the car to return to 45.8 m if it continued decelerating after stopping.


Which property of argon is used in light bulbs?

Answers

Answer:

Argon belongs to zero group, i.e., is a noble gas and thus is inert. Hence it will not react with the hot filaments. Hence it is used in fluorescent and incandescent light bulbs to stop the oxygen in the light bulbs from corroding the hot tungsten filament.

Explanation:

A 50.0-g hard-boiled egg moves on the end of a spring with force constant k = 25.0 N/m. Its initial displacement is 0.300 m. A damping force Fx=−bvxF



x



​



=−bv



x



​



acts on the egg, and the amplitude of the motion decreases to 0.100 m in 5.00 s. Calculate the magnitude of the damping constant b.

Answers

Answer:

The correct answer will be "0.022 kg/s".

Explanation:

The given values are:

Initial amplitude,

A₁ = 0.3 m

Final amplitude,

A₂ = 0.1 m

Mass of a egg,

m = 50.0 g i.e., 0.050 kg

Time,

t = 5 sec

As we know,

⇒  [tex]A_{2}=A_{1}e^{(-\frac{b}{2m})t}[/tex]

So that, the damping constant will be:

⇒  [tex]b=\frac{2m}{t} log \frac{A_{1}}{A_{2}}[/tex]

On putting the estimated values, we get

⇒  [tex]b=\frac{2\times 0.050}{5}log \frac{0.3}{0.1}[/tex]

⇒     [tex]=\frac{0.1}{5} log \frac{0.3}{0.1}[/tex]

⇒     [tex]=0.02 \ log 3[/tex]

⇒     [tex]=0.0219 \ kg/sec \ or \ 0.022 \ kg/s[/tex]

Garret, Melody and Tony start their school day with brand new pencils. By the end of the day, they want to see who used his or her pencil the most. They decide that the shortest pencil will be the most used, and the longest pencil would be the least used. How should the students determine which pencil was used the most?

Answers

HELLO MATE

HERE IS YOUR ANSWER

THEY SHOULD COMPARE THE LENGTH OF PENCILS WITH EACH OTHER .

HOPE IT HELPS.

PLEASE MARK AS BRAINLIEST AND FOLLOW ME ......

Consider a single slit that produces a first-order minimum at 16.5° when illuminated with monochromatic light. show answer No Attempt 50% Part (a) At what angle, in degrees, is the second-order minimum?

Answers

Answer:

[tex]\theta_2 = 34.61^0[/tex]

Explanation:

Path difference for the destructive interference of a single slit:

[tex]D sin \theta = n \lambda[/tex]

For the first - order minimum, n = 1, and [tex]\theta = \theta_1[/tex]

[tex]D sin \theta_1 = \lambda[/tex].........(1)

For the second - order minimum, n = 2,  and [tex]\theta = \theta_2[/tex]

[tex]D sin \theta_2 = 2 \lambda[/tex].........(2)

Dividing equation (2) by equation (1):

[tex]\frac{D sin \theta_2}{Dsin \theta_1} = \frac{2 \lambda}{\lambda} \\\frac{ sin \theta_2}{sin \theta_1} = 2 \\\theta_1 = 16.5^0\\\frac{ sin \theta_2}{sin 16.5} = 2\\sin \theta_2 = 2 sin 16.5\\sin \theta_2 = 0.568\\\theta_2 = sin^{-1} 0.568\\\theta_2 = 34.61^0[/tex]

Which of the following represents the equation of motion of a steel ball thrown into a viscous liquid when it is moving with an acceleration a ?(A) W-V-U=ma (B)W-U=ma-V (C)W-U-V=0 (D)U-V=W

Answers

Answer: A

Explanation: When a steel ball is thrown into a viscous liquid, three forces will act on the ball.

1.) The viscous drag force V which is acting upward

2.) The buoyant force U which is acting upward and

3.) The weight of the ball W. Which is acting downward.

When it is moving with an acceleration a, the weight W will be greater than U and V

Since Force = ma.

The resultant vector force will be

W - V - U = ma

What does your body do with nutrients during the digestion process?

Answers

Answer:

the correct answer is

Explanation:

The small intestine absorbs most of the nutrients in your food,and your circulatory system passes them on to other parts of your body to store or use. Special cells helped absorbed nutrients cross the intestinal lining into your blood stream.

hope this works out!!!!

What activity level should participants be in when exercising in their target heart rate zone

Answers

Answer:

La frecuencia cardíaca objetivo durante las actividades de intensidad moderada es aproximadamente del 50 al 70% de la frecuencia cardíaca máxima, mientras que durante la actividad física intensa es de, aproximadamente, entre el 70 y el 85% del valor máximo.

To which category does galaxy #4 belong? Why does it belong in this category?

Answers

Answer:

The Galaxy IV satellite belongs to the HS-601 model category. It was engineered by Hughes Space and Communications Company (HSC)

Explanation:

The Galaxy IV belong in this category because it is a communications satellite. It was built for direct television broadcasting, for private business networks and mobile communications.

Cheers!

A stone is dropped from a tower of height 3600cm.Find the velocity by which it strike the ground.Also,find the time taken to reach the ground.​

Answers

Answer:

Explanation:

Here h=36m, a=g=10m/s, u=0

Use s=ut+(1/2)at^2

36=0*t+(10t^2)/2

time=2.68 sec

As from the formula of final velovity, v=(2gh)^1/2

v=(2*10*36)^1/2

v=(720)^1/2

v=26.83………This is the final velocity

Answer:

Explanation:

s = vit + 1/2 gt*2

36 = 0 + 1/2 x 9.8 x t*2

t*2 = 7.34

t = 2.7sec

now,

2gs = vf*2 - vi*2

2 x 9.8 x 36 = vf*2 - 0

vf*2 = 705.6

vf = 26.5m/s

What is a small sacle industry?​

Answers

Small enterprises who manufacture goods or services with the help of relatively smaller machines and a few workers and employees

2. A wave on a rope has a wavelength of 2.0 m and a frequency of 2.0 Hz. What is the speed of the
wave?
step# 1
step#2
step#3​

Answers

Answer:

4 m/s or 4 meters per second.

Explanation:

In order to calculate the speed of wave, you multiply the wavelength in meters and the frequency of the Wave in Hertz. 2 times 2 equals 4. The wave speed is always in m/s considering that the wavelength is also in meters.

I NEED HELP PLEASE, THANKS! Describe each Newton Law. :)

Answers

Explanation:

1st- states that when two bodies interact, they apply forces to one another that are equal in magnitude and opposite in direction. 

2nd- states that the time rate of change of the momentum of a body is equal in both magnitude and direction to the force imposed on it. (most important law)

3rd- states that when two bodies interact, they apply forces to one another that are equal in magnitude and opposite in direction. (law of action/reaction)

a bowl of soup has_____? A:both PE and KE B:PE C:neither PE or KE D:KE

Answers

Answer:

A.

Explanation:

Transformer is being designed to have 600v output with a 120volt input. If there are to be 800 turns of wire in the input coil. How many turns must there be in the output?

A. 40

B. 400

C. 4000

D. 40000

Answers

Hi there "Princess "

Here is ur answer

I NEED HELP PLEASE, THANKS :) What does it mean when white light is diffracted and at a particular location the color seen is blue?

Answers

Answer:

This is because white light consists of 7 colours with different angles o deviation or retraction.

Explanation:

When a narrow beam of light is refracted by a prism the light spreads into a band of colours (called the spectrum of light )

But in this case if a blue colour is observed it is due to the angle of refraction ,for instance red is refracted the least and hence is seen

Answer:

When while light is diffracted and at a particular location blue color is seen, this means that blue color is reflected while all other colors will be absorbed. When the blue color is seen denotes the shortest wavelength being reflected and all other being absorbed at the specified location.


All matter is made up of________ called atoms or molecules


Answers

Energy hope it helps
Energy

Hope it helps you

Which best describes the motion of the object between 1 and 4 seconds?

Answers

Answer:The object has negative acceleration and eventually stops.

Explanation:

Answer:not sure

Explanation:

Sorry:(

What are the four main reasons as to why, despite having an abundance of minerals and natural resources, Pakistan has been unable to realize its potential and has not been able to succeed like other countries having similar resources?



please answer me I am so much worry I will mark you as brainy and follow you also​

Answers

Answer:

GDP growth rate is low

Political instability

Lack of technical skills due to low literacy rate

Pressure from neighboring countries

Explanation:

Gross Domestic Product growth rate of Pakistan is much lower than many developed countries. The GDP growth rate for Pakistan is nearly 5% which is not even stable and it variate from plans. Due to which Pakistan is unable to use its available resources to the fullest. Also one of major issue is political instability in the country. After the loss of great leader Quaid e Azam Pakistan has not faced any loyal leader till date.

Noise pollution, health issues, lack of provision of basic necessities to many are few other factors which give rise to poor law and order situation in the country. Lack of availability of heavy machinery and poor infrastructure has contributed to the country decline. There is abundance of natural resources in the country but due to these issues the country is unable to deal with the challenges.

The pressures from neighboring countries have made the situation even worst. The heavy loan burden is restricting the country from development. The covenants imposed by the lenders have limited the country's ability to use its natural resources and become stable.

I NEED HELP PLEASE, THANKS! :)
Three positive charges A, B, and C, and a negative charge D are placed in a line as shown in the diagram. All four charges are of equal magnitude. The distances between A and B, B and C, and C and D are equal.
a. Which charge experiences the greatest net force? Which charge experiences the smallest net force?
b. Find the ratio of the greatest to the smallest net force.

Answers

Answer:

charge C = greatest net force

charge B = the smallest net force

ratio  = 9 : 1

Explanation:

we know that in Electrostatic Forces, when 2 charges are at same sign then they repel each other and if they are different signed charges then they attract each other

so as per Coulomb's formula of Electrostatic Forces

F = [tex]\frac{k\ q_1\ q_2}{r^2}[/tex]     .....................1

and here k is 9 × [tex]10^9[/tex] N.m²/c² and we consider each charge at distance d

so two charge force at A to B is

F1 = [tex]\frac{k\ q^2}{d^2}[/tex]

and force between charges at A to C, at 2d distance

F1 = [tex]\frac{k\ q^2}{(2d)^2}[/tex]  =  [tex]\frac{k\ q^2}{4d^2}[/tex]

force between charges at A to D,  3d distance

F1 = [tex]\frac{k\ q^2}{(3d)^2}[/tex]  = [tex]\frac{k\ q^2}{9d^2}[/tex]  

so

Charge a It receives force to the left from b and c and to the right from d

so at a will be

F(a)  = -F1 - F2 + F3             ....................2

put here value

F(a) = [tex]-\frac{k\ Q^2}{d^2}-\frac{k\ Q^2}{4d^2}+\frac{k\ Q^2}{9d^2}[/tex]

solve it

F(a) = [tex]\frac{k\ q^2}{d^2}(-1-\frac{1}{4}+\frac{1}{9})[/tex]  

F(a) = [tex]-\frac{41}{36}\ F1[/tex]   = 1.13 F1  

and

Charge b It  receives force to the right from a and d and to the left from c

F(b) = F1 - F1 + F2            ....................3

F(b)  =  [tex]\frac{k\ q^2}{d^2}-\frac{k\ q^2}{d^2}+\frac{k\ q^2}{4d^2}[/tex]    

F(b)  = [tex]\frac{1}{4} \ F1[/tex]    =  0.25 F1

and

Charge c It receives forces to the right from all charges.

F(c) = F2 + F 1 + F 1      ....................4

F(c) = [tex]\frac{k\ q^2}{4d^2}+\frac{k\ q^2}{d^2}+\frac{k\ q^2}{d^2}[/tex]      

F(c) =  [tex]\frac{9}{4} \ F1[/tex]   = 2.25 F1

and

Charge d It receives forces to the left from all charges

F(d) = - F3 - F2 -F 1      ....................5

F(d) = [tex]-\frac{k\ q^2}{9d^2}-\frac{k\ q^2}{4d^2}-\frac{k\ q^2}{d^2}[/tex]  

so

F(d) = [tex]-\frac{49}{36} \ F1[/tex]    = 1.36 F1

and

now we get here ratio of the greatest to the smallest net force that is

ratio = [tex]\frac{2.25}{0.25}[/tex]

 ratio  = 9 : 1

I NEED HELP PLEASE, THANKS!
Find or draw at least two pictures that illustrates Newtons first Law. Write a paragraph describing how each of the pictures you choose illustrates the law.

Answers

Explanation:

When a person is standing still, the forces acting on them (weight force pulling down and normal force pushing up) are equal and opposite, so the net force is balanced.  So the person will continue to be at rest, unless the net force becomes unbalanced.

When a person falls with a parachute, the forces acting on them (weight force pulling down and air resistance pushing up) are equal and opposite, so the net force is balanced.  So the person will continue to fall at the same speed until the net force becomes unbalanced.

hi please I need help with my mMATHEMATICS ASSIGNMENTS
1. Find the value of x and y in the following ratios
a. 3:5 = x:20
b.11:35 = 66: y
2. In a village of 375 children under the age of 10. If 68% of them have had malaria, how many children have escaped the disease?
3. Five buses need 3 trips to take 450 students to the stadium to watch a concert. How many trips would the 3 buses need to take the same number of students?
4. The ratio of girls to boys in a boarding school is 2:7. If there are 1,251 students in the school:
a. How many of the students are girls?
b. What percentage of the students are boys?
5. An old carpet which now costs #1 000, was sold for #1 400 when new. Calculate the percentage decrease.
6. The cost of petrol is #65 per litre. What is the percentage increase if it is sold for #105 per litre by a dealer during fuel scarcity?

Answers

Answer:

1

(a) Ans we are applying the formula

product of means = product of extremes

So according to the formula 5x = 60

x= 60/5

x = 12

(b) Ans we are applying the formula

product of means = product of extremes

2310=11 y

y = 2310/11

y = 210

Explanation:

(a)In product of means we multiply inner values with each other like in this case for solution of a part  5 and x are inner values and in product of extremes we multiply outer value like in case of solution for a 3 and 20 are outer values.

Which property of sugar makes it different from white crystalline sand?

Answers

Answer:

The property of sugar which makes it different from sand is that sugar can dissolve in water. Explanation: however the power of dissolving of sand is not present. This is due to the presence of interaction between sugar and water.

Explanation:

I hope that was useful

an 85 kg construction worker has 37,485 j of gravitational potential energy to the nearest whole number the worker is blank m above the ground. answer the blank = )

Answers

Answer:

45 m above the ground

Explanation:

The formula for height is height = PEg/ mg (gravitational potential energy/ mass times g).

37,485/ (85 kg*9.8m/s^2)

37,485/ 833 = 45 m above the ground

The height of construction worker above the ground is of 45 m.

Given data:

The mass of construction worker is, m = 85 kg.

The gravitational potential energy stored in worker is, U = 37,485 J.

We know that the energy of any object by virtue of its position is known as gravitational potential energy. So, the expression for the gravitational potential energy of construction worker is,

U = mgh

here,

g is the gravitational acceleration and h is the height above the ground.

Solving as,

37485 = 85 × 9.8 × h

h = 45 m

Thus, we can conclude that the height of construction worker above the ground is of 45 m.

Learn more about the gravitational potential energy here:

https://brainly.com/question/23134321

Si observamos un incremento de temperatura en un termómetro de 24 oC, ¿a cuántos grados Fahrenheit corresponde dicho incremento? ¿Y si el incremento de temperatura fuese de 24 K?

Answers

Responder:

24 ° C = 75.2 ° F 24K = -416.47 ° F

Explicación:

La fórmula se utiliza para convertir grados Celsius (° C) en grados Fahrenheit (° F).

x ° C = (y ° F - 32) × 5/9.

Convertir 24 ° C a Fahrenheit

24 = (y ° F - 32) × 5/9.

24 * 9 = 5 (y ° F-32)

216 = 5 años ° F-160

5 ° F = 216 + 160

5 ° F = 376

y ° F = 376/5

y ° F = 75.2

24 ° C = 75.2 ° F

Para convertir Kelvin a Fahrenheit, usaremos la expresión;

(K - 273.15) × 9/5 + 32

Dado K = 24kelvin

24K a ° F = (24− 273.15) × 9/5 + 32

= -249.15 (9/5) + 32

= -448.47 + 32

= -416.47 ° F

24K = = -416.47 ° F

Indicar verdadero (V) o falso (F) con respecto al movimiento parabólico : la componente horizontal de la velocidad permanece constante. ( ) la componente vertical de la velocidad puede ser nula en un instante. ( )  La velocidad en todo momento es tangente a la trayectoria. ( )

Answers

Answer:

a) true, b) true, c) false

Explanation:

Este ejercicio de cinemática se pide revisar varias afirmaciones

a) Cierta.  La velocidad horizontales consta

b) cierto.  La velocidad vertical disminuye hasta llegar a cero en su altura máxima, la aceleración es negativa

C) False.   Si la velocidad es tangente a la trayectoria el movimiento debe ser circular, pero este movimiento es parabólico

Traduction

This exercise in kinematics asks you to review several statements

a) true. The horizontal speed consists

b) true. The vertical speed decreases until it reaches zero at its maximum height, the acceleration is negative

C) False. If the speed is tangent to the path, the movement must be circular, but this movement is parabolic.

With respect to parabolic motion:

the horizontal component of the velocity remains constant is Truethe vertical component of the velocity can be null in an instant is True since the velocity changes with time due to gravitation acceleration. At the highest point of the projectile trajectory, the vertical velocity becomes zero.Speed at all times is tangent to the trajectory is True. The parabolic path of the trajectory is because of the changing vertical velocity.

Con respecto al movimiento parabólico:

La componente horizontal de la velocidad permanece constante es True la componente vertical de la velocidad puede ser nula en un instante es True ya que la componente vertical de la velocidad cambia con el tiempo debido a la aceleración de la gravitación. En el punto más alto de la trayectoria del proyectil, la velocidad vertical se vuelve cero. La velocidad en todo momento es tangente a la trayectoria es Verdadera. La trayectoria parabólica de la trayectoria se debe a la velocidad vertical cambiante.

Learn more about Parabolic motion:

https://brainly.com/question/4450437

10). Three - fourth of the volume of a block which is floating in water extends above the surface
of the water. What is the density of the block?​

Answers

Answer:

Explanation:

Fill the graduated cylinder partially with water to a level where you can submerge the object and drop the sinker weight into the water. If you don't have a graduated cylinder to fit your object, put a cylinder in a basin, fill it to the top with water and measure the overflow into the basin. Your answer will be less accurate because of the number of times the water has been moved. Note the amount of displacement in milliliters (ml) caused by the sinker and string.

Measure the mass of your object (say a cork) on a balance scale in grams (g). Be sure the object is dry when it is measured. Record its weight. Attach the sinker with the string to the object. If you use a staple or pin, be sure to include that when you measure the displacement of the sinker in step one.

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