A ball is dropped off the roof of a tall building. If the ball reaches the ground in 8 seconds, how tall is the building, in meters? Round to the nearest whole number (a=9.8 m/s2)

Answers

Answer 1

Let b be the height of the building, and y the height of the ball at time t, given by

y = b - 1/2 gt²

where g = 9.8 m/s² is the magnitude of the acceleration due to gravity.

It takes the ball 8 s to reach the ground, at which point y = 0, so that

0 = b - 1/2 (9.8 m/s²) (8 s)²

b = 1/2 (9.8 m/s²) (8 s)²

b = 313.6 m


Related Questions

a soccer player kicks a ball with an initial velocity of 10 meters per second at an angle of 30 degrees

Answers

Answer:

Did you make a diagram?

Make your hypotenuse 10 and the base angle 30°

find the length of the adjacent side using

10cos30°

Explanation:

Answer:

A soccer player kicks a ball with an initial velocity of 10.0 meters per second at an angle of 30.0° above the horizontal. The magnitude of the horizontal component ofthe ball's initial velocity is which of the following?

9.8 m/s

0.50 m/s

15 m/s

7.4 m/s

Explanation:

Questlon 3 of 5 What statement best describes what a circle graph shows? O A. Data as proportions of a whole B. The relationship between two variables OC. A frequency distribution D. The average of a data set​

Answers

Answer:

it would be a

Explanation:

Which do you think is more likely: humans visiting an alien planet or aliens from another planet visiting us?
Plz someone help

Answers

Aliens from another planet visiting us because we don’t have advanced technology to be visiting other planets like that

Answer:

Explanation:

According to me, humans visiting an alien planet is more likely. This is because the allien planets may not have higher levels of technology.

Whereas in today's world, the technology have come to aqquire a very high position. So it likely that humans could visit the alien planets because of the technology evolved by them.

Hope this helps

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A car accelerates from 2 m/s to 5 m/s in 1.8 seconds. What is the acceleration of the car?

Answers

Answer:

5-2 / 1.8 = 1.66m/s

Explanation:

acceleration = vf-vi / t

vf= 5m/s

vi= 2m/s

t= 1.8 s

true or false
Impulse is defined as the force exerted on an object times the time it lasts.

Answers

Answer: true

Explanation:   when two objects collide and completely bounce apart with no lasting deformation or generation of heat, the collision is said to be elastic.

have a good day!! please mark me brainliest

A mover's dolly is used to pull a 115 kg refrigerator up a ramp
into a house. The ramp is 2.10 m long and rises 0.850 m. The
mover exerts a force of 496 N up the ramp. How much work is
spent overcoming friction?

Answers

Answer:

84 J

Explanation:

Work by mover:

W = Fd

W = 496 J (2.1 m)

W = 1042 J

Work by dolly and ramp:

W = Fd

W = (mg)d

W = 115 kg (9.8 m/s/s) (0.85 m)

W = 958 J

1042 J - 958 J

= 84 J

The amount of work  spent in overcoming friction is 83.65 J.

 

From the question,

The amount of work spent in overcoming friction = work done by the mover-potential energy of the refrigerator.

This is expressed mathematically as,

W' = Fd-mgh................... Equation 1

Where W' = work spent against friction, F = force applied, d = distance, m = mass of the refrigerator, g = acceleration due to gravity, h = height.

From the question,

Given: F = 496 N, d = 2.10 m, m = 115 kg, h = 0.85 m

Constant: g = 9.8 m/s².

Substitute these values into equation 1

W' = 496(2.1)-(115×9.8×0.85)

W' = 1041.6-957.95

W' = 83.65 J.

Hence, the amount of work  spent in overcoming friction is 83.65 J

Learn more about friction here: https://brainly.com/question/13683196

Rita has two small containers, one holding a liquid and one holding a gas. Rita transfers the substances to two larger containers. Compare the behavior of the atoms in the liquid and in the gas once they are moved to the larger containers

Answers

Answer: liquids take the shape of the container they are in, but have definite volume. like liquids the shape of a gas changes with the container. unlike liquids the volume of a gas changes depending on the container it is in

Explanation:

Answer:

liquids flow freely, they take the shape of the container they are in, but have a definite volume. Like liquids, the shape of a gas changes with the container. This is because the atoms in a gas move rapidly and freely to fill any available space. Unlike liquids, the volume of a gas changes depending on the container it

Explanation

a car drives 16 m east, then 25 m south, then 16 m west. calculate the distance travelled by car

Answers

Answer:

16m + 25m + 16m = 57m

the car travelled 57 m

What is the mass of a person who weighs 500 N?

Answers

Answer:

51 kg

Explanation:

Answer:

51kg

Explanation:

So his mass is Weight/gravity=500 N / 9.8 m/s^2 = 51 kg.

ASAP PLEASE HELPPP
Examine the image of the Hertzsprung-Russell diagram.

The H-R Diagram. The y axis shows Luminosity in solar units increasing in increments of the power of 1 from 10 from bottom to top. The x axis shows Surface Temperature in Kelvin, decreasing from left to right. Supergiants are yellow white, luminosity between 10 superscript 4 solar units and 10 superscript 5 solar units. Main is blue white, luminosity 10 superscript 4. Sequence is blue white, luminosity 10 superscript 3. Giants are red and orange, luminosity between 10 superscript 2 and 10 superscript 3. Sun is yellow, luminosity between 1 and 10. AB Doradus C is red, luminosity 10 superscript negative 3. White Dwarfs are blue, blue white, white, yellow white, and yellow, luminosity from 1 to 10 superscript negative 4.

Which characteristic describes the stars indicated by the arrow in the image?

cool
hot
large
small

Answers

Answer:

The answer is cool.

Explanation:

If you look at the diagram then you can see that the star being pointed to is orange-ish. Red and orange stars are the more cooler ones.

Cool is the characteristic that describes the stars indicated by the arrow in the image. Therefore, the correct option is option A.

What is star?

A star is an extremely bright ball of primarily hydrogen and helium-based gas that is kept together through its own gravity. The star is supported against gravity by nuclear fusion events at its core, which also yield photons, heat, and trace quantities of heavier elements.

The star is created when hydrogen nuclei start to fuse into helium nuclei at a temperature of roughly 10 million K (18 million °F) in the gas. The expanding star's core emits energy through nuclear fusion, which eventually slows the gas cloud's collapse. Cool is the characteristic that describes the stars indicated by the arrow in the image.

Therefore, the correct option is option A.

To learn more about star, here:

https://brainly.com/question/18426562

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a student drops a tennis ball from rest. the ball falls 13m to the ground.find the final speed of the ball,just before it reaches the ground ​

Answers

[tex] ({v})^{2} - ({v(0)})^{2} = 2 \times a \times ∆x[/tex]

[tex]v = the \: \: speed \: \: before \: \: reaching \: \: ground \\ [/tex]

[tex]v(0) = the \: \: speed \: \: in \: \: the \: \: rest \: \: which \: \: is \: \: zero \\ [/tex]

[tex]a = Acceleration \: = \: Gravity \: \: acceleration = 10 \\ [/tex]

[tex]∆x = covered \: \: distance[/tex]

_________________________________

[tex] {v}^{2} - ({0})^{2} = 2 \times 10 \times 13 [/tex]

[tex] {v}^{2} = 2 \times 2 \times 5 \times 13 [/tex]

[tex]v = \sqrt{ {2}^{2} \times 65 } [/tex]

[tex]v = 2 \sqrt{65} \: \: \frac{m}{s} [/tex]

Done.....♥️♥️♥️♥️♥️

"A car is travelling at 70 m/s. The driver sees a cow in the road and slows down with a constant acceleration for 10 seconds before coming to a stop. What is the car’s displacement by the time is stops." what information do you know?

Answers

The question does not ask for anything in particular. I will calculate the acceleration and distance.

Answer:

The acceleration of the car is [tex]-7\ m/s^2[/tex]

The distance traveled before stopping is 350 m

Explanation:

Constant Acceleration Motion

It's a type of motion in which the velocity of an object changes by an equal amount in every equal period of time.

Being a the constant acceleration, vo the initial speed, vf the final speed, and t the time, the following relation applies:

[tex]v_f=v_o+at\qquad [1][/tex]

The distance traveled by the object is given by:

[tex]\displaystyle x=v_o.t+\frac{a.t^2}{2}\qquad [2][/tex]

The car has an initial speed of v0=70 m/s when the driver sees a cow in the road and steps on the brakes with an (assumed) constant acceleration during t=10 seconds before stopping (vf=0).

With the information provided, we can calculate the value of the acceleration and the distance traveled.

Using the equation [1] we can solve for a:

[tex]\displaystyle a=\frac{v_f-v_o}{t}[/tex]

Substituting the numerical values:

[tex]\displaystyle a=\frac{0-70}{10}=-7\ m/s^2[/tex]

The acceleration of the car is [tex]-7\ m/s^2[/tex]

The distance is now calculated by using [2]

[tex]\displaystyle x=70\cdot 10+\frac{(-7)\cdot 10^2}{2}[/tex]

[tex]\displaystyle x=700-\frac{700}{2}=350\ m[/tex]

The distance traveled before stopping is 350 m

Why red has the weakest energy?

Answers

Answer:

because plants or living things cant reflect with a red light

Explanation:

Answer:

Explanation:

Red has the longest wavelength so it has the lowest energy of any color.

A 25 N force is applied to a 1.4 kg mass on level ground. If a 5 N frictional force is present between the surface and the object, what is the magnitude of the acceleration of this object?

Answers

Given parameters:

Force applied to the mass = 25N

Mass of the body = 1.4kg

Frictional force  = 5N

Unknown:

Acceleration of the object = ?

Solution:

The net force on the object;

     Fapplied - Frictional force = net force (m x a)

 m is the mass of the body

 a is the acceleration

Input the parameters and solve;

    25 - 5 = 1.4 x a

         1.4a  = 20

             a = [tex]\frac{20}{1.4}[/tex]   = 14.3m/s²

         

The magnitude of the acceleration of the object is 14.3m/s²

If there is 10% sales tax on a car costing $18,000
How much is the sales tax?
O $180
O $1800
O $1.80
O $800

Answers

Answer:

180

Explanation:

i think

can somebody helppp me pls thank you:)))))​

Answers

The picture is very blurry I wish I could help

HEY HEY HEY HEY

Explanation:

HEY HEY HEY HEY HEY

15% input work is lost due to friction then what is the efficiency of machine?​

Answers

Answer:

I think 50%

Explanation:

Because the efficiency of a machine is always less than 100%. And efficiency of a machine is 75%.

So, if 15% input work is lost due to friction then efficiency is maybe 50%.

3.The melting point of lead is 327.5 °C. Which of the following statements is correct? (1 Point) A)Lead is a gas at 280 °C B)Lead is a solid at 310 °C C)Lead is a liquid at 300 °C D)Lead is a solid at 390 °C

Answers

Answer:

B)Lead is a solid at 310 °C

Explanation:

The melting point of a substance refers to that temperature in which the substance changes state from solid to liquid. The melting point of a substance, which is usually a temperature value, is that actual temperature the change of state occurs.

According to this question, the melting point of Lead (Pb), which is naturally a solid metal, is 327.5°C. This means that LEAD (Pb) will only change to its liquid state at exactly 327.5°C and above. Therefore, at a temperature of 310°C, which is lower than lead's melting point, Lead element will still be a solid.

Answer: The correct answer is B. Lead is a solid at 310

Explanation:

A car initially rolling at 12 m/s comes to a stop in 20 seconds. Assuming the car has uniform acceleration, how far does it travel during this time interval?

Answers

As the car comes to rest it’s final velocity v will be 0
So our information g is
u = 12 m /s
t = 20s
v = 0

So acceleration is v-u/t
So 0-12/20
= -12/20
= -0.6 m / s^2

S= ut + 1/2 at^2
S = 12 x 20 + 1/2 x -12/20 x 400
S= 240 - 120
S = 120

It travels 120 m during the time interval.
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Does the mass of an object dictate the acceleration of
a falling object

Answers

Answer:

No.

Explanation:

Because the acceleration of falling objects is constant and is not affected by mass

Answer: no

The acceleration of an object is equivalent to the gravitational acceleration. The size, shape, and weight of an item are not a cause in the motion of the object. So all objects, regardless of its mass, size, or shape fall freely with the same acceleration.

A sports car has a mass of 1,460kg and accelerates at 2.04 meters per second squared. What is the magnitude of the force acting on the sports car?

Answers

Answer:

The answer is 2978.4 N

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question

mass = 1,460kg

acceleration = 2.04 m/s²

We have

force = 1460 × 2.04

We have the final answer as

2978.4 N

Hope this helps you

How do we know if something is living or non-living?

Answers

If something is living it usually has to eat something to thrive, for example a tree photosynthesis to get the nutrition it needs while a rock just sits there and isn't living.

Answer:

To be considered living it have to use energy, it has to be made of cells. Something living is also referring to things that were once living

Explanation:

Wooden handles on knives do not require maintenance.
TRUE
FALSE

Answers

Answer: false

Explanation:

You have to make sure it doesn’t stay wet

What is TRUE about a capitalist society?

Answers

The idea behind capitalism is that the free market of products and ideas is owned and driven by private citizens. A capitalist society is a social order in which private property rights and the free market serve as the basis of trade, distribution of goods, and development.

Answer:

In ideal terms: In a capitalist economic system, the owner of production is the individual, and the benefactors of production are first the individual and second the society. In a socialist or communist economic system, the owner of production is the state or the society, and the benefactor is the society.

What is electricity and where does it come from?

Answers

Answer:

it is created power we use everyday

electricity is made of the flow of electrons.

but its made by a generated by a power plant bye electric generators

brainliest?

use your brain :)

What are three key aerodynamics principles?
A Drag, height, and acceleration
B Drag, downforce, and drafting
C Acceleration, downforce, and motion D Acceleration, height, and motion

Answers

Answer:

A

Explanation:

There are three basic forces in aerodynamics: acceleration, which moves an airplane forward; drag, which holds it back; and height, which keeps it airborne. Lift is generally explained by three theories: Bernoulli's principle, the Coanda effect, and Newton's third law of motion.

mention the importance of writing the number in scientific notation​

Answers

Answer:

Scientific Notation was developed in order to easily represent numbers that are either very large or very small. ... As you can see, it could get tedious writing out those numbers repeatedly. So, a system was developed to help represent these numbers in a way that was easy to read and understand: Scientific Notation.

Hurry plz there’s a timer!!

Paco was driving his scooter west with an initial velocity of 4 m/s. He accelerates at 0.5 m/s for 30 seconds.
What is his final velocity?
O 2 m/s
O 8 m/s
O 19 m/s
O 60 m/s

Answers

Answer:

the answer is 19 ,30 (second) times 0.5= 15

15+4= 19

After Paco drives his scoter west with an initial velocity of 4 m/s and then accelerates at 0.5 m/s² for 30 s, his final velocity is 19 m/s, so the correct option is the fourth.  

The final velocity of Paco can be calculated with the following equation:

[tex] v_{f} = v_{i} + at [/tex]

Where:

[tex] v_{f}[/tex]: is the final velocity =?

[tex]v_{i}[/tex]: is the initial velocity = 4 m/s

a: is the acceleration = 0.5 m/s²

t: is the time 30 s

Hence, the final velocity is:

[tex] v_{f} = 4 m/s + 0.5 m/s^{2}*30 s = 19 m/s [/tex]

Therefore, the correct option is 19 m/s.    

You can find more about acceleration and velocity here: https://brainly.com/question/9163788?referrer=searchResults  

   

I hope it helps you!          

You use 35 joules of energy to move a 7 newton box. How far did you move it?

Answers

If you picked it straight up, you lifted it 5 meters.

If you moved it horizontally, it could be ANY distance.

Answer:

5

Explanation:

distance = work / force

d = 35 J / 7 N

d = 5 m

What is symbiosis
A an interaction between organisms
B a type of reproduction
C and organelle in the cell
D a process by which plants make their own food

Answers

Answer:

A an interaction between organisms

Explanation:

Symbiosis is an interaction between two or more organisms. It is a biological interaction which can be mutualism, commensalism or parasitic.

Mutualism is a form of interaction between two organisms where they both derive benefit from one another. Commensalism is an interaction in which one organism derives benefit and the other is neutral. Parasitic is an interaction where an organism derives benefit from the other in which the other is harmed.

Symbiosis simply entails the interactions between organisms.

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