Define acceleration. Prove that v = u + at​

Answers

Answer 1

Explanation:

[tex]\text{Acceration is the rate of change of velocity per unit time.}

\text{Suppose the initial velocity is }u,\text{ and the final velocity is }v.

\text{Then the change of speed is }v-u.

\text{If such velocity change takes }t\text{ seconds, the average acceleration is }a.

\text{So we write}[/tex]

[tex]\frac{v-u}{t}=a\implies v=u+at[/tex]


Related Questions

A baseball player hits a ball out of the park and runs the bases which are 90 ft apart. What are the distance and displacement traveled?

Answers

Answer:

The distance is [tex]360[/tex] feet, and the displacement is [tex]0[/tex].

Explanation:

A baseball player hits a ball out of the park and runs the bases which are [tex]90[/tex] feet apart.

Distance [tex]=4(90)[/tex]

[tex]= 360[/tex] feet.

The displacement is [tex]0[/tex] since the player begins and ends at home plate.

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In Hindu chronology, the longest time measure is a para. One para equals 311 040 000 000 000 years. Calculate this value in megayears, hours and in seconds. Write your answers in scientific notation. ​

Answers

A para equals [tex]3.110\times 10^{8}[/tex] megayears, [tex]2.725\times 10^{18}[/tex] hours and [tex]9.809\times 10^{21}[/tex] seconds, respectively.

This is an unit conversion problem, in this question we need to convert a value in Hindu units into SI units. A megayear equals [tex]10^{6}[/tex] years, a year equals  8760 hours and a hour equals 3600 seconds. Now we proceed to perform all required conversions:

Megayears

[tex]x = 1\,para \times \frac{311040000000000\,yr}{1\,para} \times \frac{1\,Myr}{10^{6}\,yr}[/tex]

[tex]x = 311040000\,Myr[/tex]

[tex]x = 3.110\times 10^{8}\,Myr[/tex]

Hours

[tex]x = 1\,para \times \frac{311040000000000\,yr}{1\,para} \times \frac{8760\,h}{1\,yr}[/tex]

[tex]x = 2.725\times 10^{18}\,h[/tex]

Seconds

[tex]x = 1\,para \times \frac{311040000000000\,yr}{1\,para} \times \frac{8760\,h}{1\,yr} \times \frac{3600\,s}{1\,h}[/tex]

[tex]x = 9.809\times 10^{21}\,s[/tex]

A para equals [tex]3.110\times 10^{8}[/tex] megayears, [tex]2.725\times 10^{18}[/tex] hours and [tex]9.809\times 10^{21}[/tex] seconds, respectively.

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In vector diagrams, what does the length of the arrow tell you?

Answers

Answer:

The length of the arrow tells you the size of the quantity in the vector diagram.

The direction of the arrow simply tells you the direction

Answer and Explanation:

A vector in this sense is a thing that has both magnitude (length) and direction.

Say you're walking at a speed of 5 miles per hour. If you keep walking in a straight line, then in two hours you will have walked 10 miles.

This doesn't give any information about where you started or any information about where you ended up after those 2 hours.

This is because "speed" is a scalar. It's a number with no associated geometry. It's just a magnitude. It's the magnitude of velocity.

Velocity is a vector.

Look on a map at where you are right now. Call that the center of the circle. Draw the circle with a 10 mile radius around where you are now.

The length of the arrow represents all of the possible places you could be after a two hour walk.

Which direction the arrow was pointing is what allows your friends to meet you there without checking along a ~63 mile path to find you or searching ~314 square miles to find you if you slowed down or stopped off along the way.

a grey kangaroo can lead a distance of 10m on horizontal ground. what is the minimum takeoff speed for such a leap?
show your work please!!

Answers

The minimum speed with which a projectile will travel a range is given by the speed when the given range is taken as the maximum range for the given speed

The minimum takeoff speed for such a leap is approximately 9.9 m/s

The known parameter is the distance a grey kangaroo can leap = 10 meters

The required information is the minimum takeoff speed for the leap

Solution:

The path of motion of the kangaroo as they leap is the path of a projectile

The distance of the leap is the range of the projectile

The formula for the maximum range is presented as follows;

[tex]Maximum \ range, R = \mathbf{ \dfrac{v_0^2 }{g}}[/tex]

v₀ = The initial speed of the kangaroo

g = The acceleration due to gravity ≈ 9.81 m/s²

The minimum speed to reach a maximum range of, R = 10 meters is found as follows;

[tex]\mathbf{ Maximum \ range, R} = 10 \, m = \dfrac{v_0^2 }{9.81 \ m/s^2}[/tex]

Therefore;

v₀² = 10 m × 9.81 m/s² = 98.1 m²/s²

v₀ = √(98.1 m²/s²) ≈ 9.9 m/s

The minimum takeoff speed for the kangaroo to leap 10 meters on horizontal ground, v₀ ≈ 9.9 m/s

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Light travels at a speed if 186,000 miles per second. A light-year is the distance that light travels in one year. What is the distance of a light year (in miles)?

Answers

Answer:

5,865,696,000,000 miles

Explanation:

one year = 31536000 second

31536000 × 186000 = 5,865,696,000,000

The equation below can be used to find the specific heat capacity of a substance. What is the specific heat capacity if it takes 1000 J of energy to heat 25 g of this substance by 100°C? Give your answer in J/kg°C.

Answers

Answer:

0.4j/g

Explanation:

using H = MCQ

where H is heat energy, M is mass of substance, and Q temperature change

1000= 25*C*1001000=25*100*C1000=2500Cdivide both by 25001000/2500=CC = 0.4j/g

Answer:

u837483 hd83v

Explanation:

ueu383hevd8eb2 e eusb2 3udbr easy elements easy when ever ever ekq Asner skate s Jesse issbqks. sis whish

convert 260 f into c​

Answers

Answer:

126.667 °Celsius

Explanation:

260 °Fahrenheit =126.667 °Celsius

I need help answering this question. Thanks!

Answers

Answer:

459.195 (N).

Explanation:

in order to calculate the required value of the Fₓ:

Fₓ=F*cos(37°); Fₓ=575*0.7986≈459.195 (N).

For more info see the attachment (note, the required force Fₓ is marked with red colour).

11.
2.4 g/mL x 15.82 mL

Answers

Answer:

The final solution is 38 g.

Explanation:

(2.4 (g / mL)) x 15.82 mL

= 37.96800 grams

When rounded, we get 38, so 38 g is the final solution.

Answer:

38 g is the answer

The satellite in the diagram has gravitational potential energy because of which of the following? Choose all that apply.



It has mass.


It is moving around Earth.


It has height above Earth's surface.


It is attracted by gravity toward Earth.

Answers

This question deals with the concept of Gravitational Potential Energy.

The gravitational potential energy of an object is the energy possessed by the object due to its position in the gravitational field.

The value of gravitational potential energy of an object is given by the following formula:

P.E = mgh

where,

P.E = Gravitational Potential Energy

m = mass of the object

g = acceleration due to gravity

h = height of the object in the gravitational field

According to this formula, the object (satellite) has gravitational potential energy due to the following:

It has mass (m).

It has a height above Earth's surface (h).

It is attracted by gravity toward Earth (g).

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An alternating voltage of 25.0 V is connected across the primary coil of a transformer.
Input Voltage 25 V
ind Output Voltage
50 V Output Current
Input Current 5 A
What is the current across the secondary coil? A 2.5 A C 250 A B D 5.0 A 500 A​

Answers

Answer:

A

Explanation:

Wattage = E * I

E = 25

I = 5

Wattage = 25 * 5

Wattage = 125

The secondary, in an ideal transformer has the same wattage.

125 = 50 * I           Divide by 50

125/50 = I

I = 2.5

Engineers design a system for heating the air in a house. They want the
heater to bring the temperature to a comfortable level and then maintain it.
Which option describes how the engineers should design the system?
O A. Include a control in the system that minimizes the difference
between the amounts of input and output.
B. Build in a control that uses negative feedback to minimize the
amount of change in the system.
C. Build a control into the system that causes input to always be
slightly less than output.
D. Include a control in the system that provides positive feedback
between the input and the output.
SUBMIT

Answers

The answer would be c

723 grams to kilograms

Answers

Answer:

we know that 1 kg = 1000g

therefore ;

1g = 1/1000 kg

723g = 723/1000

= 0.723kg is answer

The answer is 0.723 kilo

PLEASE ANSWER!!!!!!!!! WILL GIVE BRAINLIEST!!!

Physical Science is the study of ____.


energy


matter


how matter and energy interact


all answers are true

Answers

All the answer are true


Because Physical science is the study of matter and energy. It includes chemistry and physics. We depend on centuries of discoveries in physical science for just about everything we do.

Physics is the study of matter, energy and the interactions between them. So, all the answers are true.

What is meant by energy ?

Energy is defined as the measurement of ability to do work.

Here,

Energy is the measurement of ability do work, which is a physical property of matter. Energy is of various types such as kinetic energy, potential energy,  thermal energy, electrical energy, heat energy, etc. Energy and its applications are associated with many laws. The study of energy and the laws associated with them is one of the main branch of physics.

Matter is defined as the substance that has a specific mass and occupies physical space. Atomic particles such as electrons, protons and others are material particles. Thus the study of these matter and material particles is an important branch of physics.

Matter and energy in nature interacts in many ways. Material particles moving moving with particular kinetic energy is an example of matter-energy interactions. These interactions and their studies comes under physics.

Hence,

Physics is the study of matter, energy and the interactions between them. So, all the answers are true.

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Which two types of energy does a book have as it falls to the floor?
A. Kinetic energy
B. Nuclear energy
C. Light energy
D. Magnetic energy
E. Potential energy

Answers

Answer:

A and E

Explanation:

because of gravitational pull

Answer:

Its A and E :))

Explanation:

Lois Price came up with a brilliant idea of creating a 1,500m perfectly circular track. In order to do so she wanted
to know her distance and displacement at four different locations. Starting at the TOP of the circle, what are her
distance and displacement if she travels... (HINT - Remember the circumference of a circle)
a. quarter way around the track
Isoo
b. half way around the track
4
Р A
C. 4 around the track
d. an entire lap
dist = 375

Answers

Her distances and displacement are;

[tex]\begin{array}{|l|c|c|}\mathbf{Location}&\mathbf{Displacement}&\mathbf{Distance}\\&&\\a. \ Quarter \ way \ around&\dfrac{750 \cdot \sqrt{2} }{\pi} m &375 \ m\\&&\\b. \ Half \ way \ around&\dfrac{1500}{\pi} m&750 \ m\\&& \\C. \ Three \ quarter\ way \ around&\dfrac{750 \cdot \sqrt{2} }{\pi} m&1,125 \ m\\&&\\d. \ Entire \ lap&0&1,500 \ m\\\end{array}\right][/tex]

The reason the above values are correct are as follows:

The known details are:

The length of the circular track, C = 1,500 m

The required details;

Her distance and displacement at four locations starting at the top of the circle, as follows;

At the top, the starting point, the displacement = The distance = 0

a. A quarter way round the track;

The radius of the circular track, r = C/(2·π)

∴ r₁ = 1,500 m/(2·π) = (750 m)/π

The displacement a quarter way round the track, s₁² = r² + r²

∴ s₁² = ((750 m)/π)² + ((750 m)/π)²

s₁ = ((750 m)/π)·√2

The displacement a quarter way round the track, s₁ = ((750·√2)/π) m

The distance a quarter way round the track, d₁ = C/4

∴ d₁ = 1,500 m/4 = 375 m

The distance a quarter way round the track, d₁ = 375 m

b. The displacement half way around the track, s₂ = r + r

∴ s₂ = r + r = (750 m)/π + (750 m)/π = (1,500 m)/π

The distance moved half way round the circular track, d₂ = C/2

∴ d₂ = 1,500 m/2 = 750 m

The distance moved half way round the circular track, d₂ = 750 m

C. The displacement 3/4 way round the track, s₃ = s₁ = (750 m)/π)·√2

The distance moved 3/4 way round the circular track, d₃ = (3/4) × 1,500 m = 1,125 m

D. The displacement for an entire lap, which is back to starting point at the TOP, s₄ = 0

The distance traveled in one lap = The circumference of the track, C = 1,500 m

Therefore, we have the following displacement and distances at the four different locations;

[tex]\begin{array}{|l|c|c|}\mathbf{Location}&\mathbf{Displacement}&\mathbf{Distance}\\&&\\a. \ Quarter \ way \ around&\dfrac{750 \cdot \sqrt{2} }{\pi} m &375 \ m\\&&\\b. \ Half \ way \ around&\dfrac{1500}{\pi} m&750 \ m\\&& \\C. \ Three \ quarter\ way \ around&\dfrac{750 \cdot \sqrt{2} }{\pi} m&1,125 \ m\\&&\\d. \ Entire \ lap&0&1,500 \ m\\\end{array}\right][/tex]

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Calculate the velocity of the object in the graph above using the equation for a slope.

Answers

Answer:

v=d/t

50/5

=10m

is the velocity

¿Qué información se puede obtener de un gráfico rapidez versus tiempo?

Answers

Answer:

la velocidad se mide con el tiempo del tiempo que tarda el tiempo se mide por la hora del día y el reloj

Explanation:

Creo que es correcto


.Why does the tension in each chain of a
carrying a child increase as an adult pulls the
swing backward?

Answers

Because if your putting tension on something tensions obviously going to increase with more pressure and weight on it

A liquid has a

constant temperature

definite shape

crystal structure

definite volume

Answers

The right answer is : Definite Volume

You must be the change you wish to see in the world

The correct answer is definite volume.

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Which of the following quantities are vectors?
Distance
Displacement
Velocity
Speed
Force
Fores
O
Height
Acceleration

Answers

Answer:

Displacement

Velocity

Acceleration are the vector quantity....

Explanation:

hope this was helpfull....

What are the two main
categories of particles and
antiparticles?

Answers

Answer:

Particles can be classified as hadrons – baryons and mesons – and leptons, each with its anti-particle, and they should know that interactions between these particles can be described in terms of transfer of other particles known as vector bosons.

Explanation:

Your Welcome, if you could give me Brainlist I would appreciate it!

1.How many significant digits are in 101,407,063?

Answers

Answer:

= 9

Explanation:

just count the numbers :D

Explain why circular motion includes continuous
acceleration even when the speed does not change

Answers

goes around in a circle honesty
Just like the user kind of said it goes around the circle because Circular motion is an acceleration because the velocity is changing. Velocity includes both speed and direction. When an object moves in a circle, its direction is changing.

A basket contains 7 white cats and 15 black cats. What is the ratio of the number of white cats to the number of black cats?​

Answers

The answer is:Ratio 7:15

What’s important about physical health

Answers

Answer:

Physical activity or exercise can improve your health and reduce the risk of developing several diseases like type 2 diabetes, cancer and cardiovascular disease. Physical activity and exercise can have immediate and long-term health benefits. Most importantly, regular activity can improve your quality of life.

Explanation:

hope it is helpful for you keep smiling

convert 22000mg to cg

Answers

Your answer is.. 22000 mg = 2200 cg

Because:

1 mg = 0.1 cg

I hope this helps!

Plz answer this question

Answers

The answer will be pressure.

Pressure is force per unit area.

Abigail Folgers’s dying words were ?

Answers

Answer:

"My God is an amazing God."

What is the difference between the temperatures on Earth and the moon?

Answers

Answer:

The earth is hotter

Explanation:

the average temperature on earth is 57 degrees Fahrenheit the average on the moon is -298 degrees Fahrenheit

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