How to use calculus in physics ?​

Answers

Answer 1

Explanation:

In Physics, many quanitties are the function of other quanitities.

For instance in kinematics, where the displacement (s), position (x), velocity (v) and time (t) of a particle are related.

Suppose the position of a particle can be descirbed as a function of time, i.e.

[tex]x=f(t)[/tex]

then since velocity is the rate of change of position, we write

[tex]v=\dfrac{d}{dt}f(t)=f'(t)[/tex]

which is the derivative of the poisiton/ time function.

On the other hand, the displacement of the particle is the sum of position changes over time, so the displacement can be defined by

[tex]s=\int^{t_1}_{t_0}f(t)dt[/tex]

which is the integration of postion/ time function.


Related Questions

A car speeds up from 0.0 m/s to 14.0 m/s
in 3.25 s.
The acceleration of the car is:
A. 14.0 m/s2
B. 4.31 m/s2
C. 45.5 m/s2
D. 10.8 m/s2​

Answers

Explanation:

Its speed is zero at the beginning of the 3.25 s and 14 m/s at the end.

I'm thinking you probably wanted to find the car's acceleration.

Acceleration =(change in speed) / (time for the change).

Acceleration =(14m/s )/ (3.25s) .

Acceleration = 4.31m/s² .

I hope it will help you so.

Have a great day.

Be safe and be happy.

So your answer option (b) when you approximate
Hope I have helped

Differences between law of flotation and Archimedes's principle​

Answers

Answer:

Differences between law of flotation and Archimedes's principle​

here

Explanation:

prove the conservation of linear momentum​

Answers

Answer:

force experienced by A and B are equal and opposite, that is total momentum before collision is equal to total momentum after collision if no external forces act on them which proves the principle of conservation of linear momentum.

Vector A has a magnitude of 75.0 cm and points at 30° above the positive x-axis. Vector B has a magnitude of 25.0 cm and points along the negative x-axis. Vector C⃗ has a magnitude of 40.0 cm and points at 45° below the negative x-axis.


(a) Determine the x and y components of Vector A

(b) Determine the x and y components of Vector B .

(c) Determine the x and y components of Vector C .

(d) Determine x and y components of the sum of these three vectors.

(e) Determine the magnitude of the sum of these three vectors.

(f) Determine the direction of the sum of these three vectors.

Answers

(a)

A = (75.0 cm) (cos(30°) i + sin(30°) j)

A = (75.0 cm) (√3/2 i + 1/2 j)

A ≈ (64.95 i + 37.5 j) cm

The x component is the coefficient of the i unit vector, while the y component is the coefficient of the j unit vector.

(b) "points along the negative axis" in other words means that B makes an angle of 180° with the positive x-axis in the counterclockwise direction. In particular this tells you that B is parallel to the x-axis, so its y component would be zero.

B = (25.0 cm) (cos(180°) i + sin(180°) j)

B = (25.0 cm) (-1 i + 0 j)

B = (-25.0 i) cm

(c) If the negative x-axis corresponds to 180°, then 45° below this would make an angle of 180° + 45° = 225° with the positive x-axis.

C = (40.0 cm) (cos(225°) i + sin(225°) j)

C = (40.0 cm) (-1/√2 i - 1/√2 j)

C ≈ (-28.28 i - 28.28 j) cm

(d) The sum A + B + C has components that are the sums of the components of each of A, B, and C.

A + B + C ≈ (11.67 i + 9.22 j) cm

(e) The magnitude of the vector sum is

||A + B + C|| = √((11.67 cm)² + (9.22 cm)²) ≈ 14.87 cm

(f) Since both components of the vector sum are positive, you know that it's a vector that terminates in the first quadrant of the x,y-plane, so it makes an angle with the positive x-axis of

arctan(9.22/11.67) ≈ 38.3°

A solid sphere and a solid cylinder , both uniform and having the same mass and radius, are released from rest at the same height on a ramp. If they roll down the ramp without slipping, which one will have the lower forward velocity at the bottom of the ramp?
a. The solid sphere
b. The solid cylinder
c. Both will have the same forward velocity

Answers

Answer:

I (cylinder) = 1/2 M R^2

I (sphere) = 2/5 M R^2

The equation  of motion shows

I * alpha = M g R sin theta = const

An increase in the moment of inertia will result in a smaller acceleration

The cylinder will have the smallest forward velocity because it will arrive at the bottom after the sphere

Question 9 of 10
Which of the following is equal to the area under a velocity-time graph?
A. Velocity
B. Displacement
C. Force
D. Accelertion
SUBMIT

Answers

Displacement is equal to the area under a velocity-time graph.

A probability of breaking a tree is more than a short one during storm

Answers

Answer:

due to inertia of motion

Convert 4 centimeters to meters using dimensional analysis and scientific notation. Please go step by step as I am having difficulty with this subject.​

Answers

Answer:

[tex]thank \: you[/tex]

what is the function of thrombocytes

Answers

Answer:

the function of the thrombocytes is to clott blood

PLEASE HELP
You are given a liquid mixture to identify as a colloid, suspension, or solution. When you shine light from a laser pointer you can see the beam spread out in the mixutre. Only some light passes through. What is the next test you should perform to determine the type of mixture?


Heat the mixture to evaporate the water.

Shine the light through again several times.

Wait to see if the particles settle out of the mixture.

Shake the mixture.

Answers

Waiting to see if the particles settle out of the mixture will be the next test to perform to determine the type of mixture.

What is a Mixture?

This comprises of two or more substances which aren't chemically bonded together.

Suspension is a heterogeneous mixture that settle out of solution while colloid is a heterogeneous mixture that do not settle out of solution which is why option C was chosen.

Read more about Mixture here https://brainly.com/question/2331419
#SPJ1

thanks for the points :D

An oil tanker has a mass of to, 40000 tonnes. It is 500m long and 40m wide. What is the mininum depth of harbor it requires?​

Answers

The minimum depth of harbor of the oil tank is 2.22 m

The given parameters:

mass of the oil tanker, m = 40,000 tonnes

length of the tanker, l = 500 m

width of the tanker, w = 40 m

To find:

minimum depth of harbor

Note: The specific gravity of oil is approximately 0.9

          The density of water ([tex]\rho_w[/tex]) = 1000 kg/m³

Covert the given mass to kilogram

1 tonne = 1000 kg

40,000 tonnes = 40,000,000 kg

The density of the oil tanker is calculated as:

[tex]S.G = \frac{\rho_o}{\rho_w} \\\\\rho_o = S.G \times \rho_w\\\\\rho_o = 0.9 \times 1000\\\\\rho_o = 900 \ kg/m^3[/tex]

The volume of the oil tanker is calculated as:

[tex]Volume = \frac{mass}{density} \\\\Volume = \frac{40,000,000}{900} \\\\Volume = 44,444.44 \ m^3[/tex]

The minimum depth of harbor is calculated as:

[tex]height = \frac{volume}{Length \times width} \\\\height = \frac{44,444.44}{500\times 40} \\\\height = 2.22 \ m[/tex]

The minimum depth of harbor of the oil tank is 2.22 m

Learn more here: https://brainly.com/question/18029392

astone is thrown upwards with an initial velocity of 25m/s atan angle of 30 to the ground.what is the work out the stones horizantal range ?

Answers

Answer:

Range is 62.5 metres

Explanation:

Time of flight

[tex]t = \frac{2u \sin( \theta) }{g} [/tex]

for range, acceleration is zero

from second newton's equation:

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

but a = 0:

let range be x:

[tex]x = ut \\ x = \frac{2 {u}^{2} \sin( \theta) }{g} \\ \\ x = \frac{ \{2 \times 25 {}^{2} \sin(30 \degree) \}}{10} \\ \\ x = 62.5 \: metres[/tex]

[ taken g to be 10 m/s² ]

LESSON-THE PLANT Fairy

1) Fill in the blanks using given options.
( Grass, tree, Mehndi, shapes and colour)
a) Plants with thick or thin trunk are called as
b) Leaves of different plants have different
c) Didi was sitting on the
d) is a bush.

Answers

A. Tree
B. Shapes
C. Grass
D. Mehndi

how many grams of CaCo3, will react with dil HCL to produce 75gm of Co2 ?​

Answers

Answer:

100g is correct answer.

Answer:

100 grams

Explanation:

CaCO3 ➡️ CaO + CO2

pls mark brainlies!

Late one night on a highway, a car speeds by you and fades into the distance. Under these conditions the pupils of your eyes have diameters of about 7.0 m m. The taillights of this car are separated by a distance of 1.4 m and emit red light (wavelength = 660 nm in vacuum). How far away from you is this car when its taillights appear to merge into a single spot of light because of the effects of diffraction?

Answers

660 because 7.0 is added is 1.4

2 1.1.4 Quiz: Introduction to Physical Science
Question 2 of 10
Which expression correctly describes energy using SI units?
O A. 1 J = 1 kg-m/s2
O B. 1 J = 1 kg.m/s
C. 1 J = 1 kg:m2/s2
D. 1 J = 1 kg.m/s
SUBMIT

Answers

Answer:

A. 1 J= 1 kg•m²/s²      :)

Explanation:

Name another way that energy is made

Answers

Answer:

The three major categories of energy for electricity generation are fossil fuels (coal, natural gas, and petroleum), nuclear energy, and renewable energy sources. Most electricity is generated with steam turbines using fossil fuels, nuclear, biomass, geothermal, and solar thermal energy.

Explanation:

Solar

Wind

Geothermal

Hydrogen

TidaWave

Hydroelectric

Biomass

what happens when you mix water and baking soda

Answers

Nothing much. It doesn’t explode. Lol

what is matter made of ?​

Answers

Explanation:

Matter is anything occupies space and has mass

Matter is made up small tiny particles called atom

Atom contains:-

Proton

Neutron

Electron

Convert 17800 seconds into day

Answers

Answer:

the answer is 0.206 day

hope this helps!

Answer:

17800 Second (s) = 0.206019 Day (d)

what do you mean by MA of a lever is 3 , VR of a lever is 4 and efficiency of a machine is 60%​

Answers

Explanation:V.R of a lever is 3 means effort distance of the lever is 3 times more than the effort distance of the load. ... Efficiency of a lever is 60% means 40% of the energy is wasted due to friction as no machine is Friction less.

Which of the following elements has properties different than the rest?
H
K
N
O

Answers

Answer:

I think K . If it not, then sorry.

Hope I helped you.

Answer: The answer [b] or also known as k

Explanation:

Revolution: One orit of an object in space around another_ days?​

Answers

Answer:

365 days..

Explanation:

Hope it may help you シ︎♡︎

[tex] \huge\mathfrak\green{365 \: or \: 366 \: Days.}

[/tex]

[tex]Hope \: it \: helps[/tex]

Diamond has a density of 3.26 g/cm3
. What
is the mass of a diamond that has a volume of
0.214 cm3
?
Answer in units of g

Answers

Explanation:

Hey there!

According to the question;

Density of diamond (d) = 3.26g/cm³

And Volume (v) = 0.214 cm³

Mass(m) = ?

From the definition of density;

d = m/v

Or, 3.26 g/cm³ = m/(0.214 cm³)

or, 3.26 g/cm³ * 0.214 cm³ = m

Therefore, mass of the diamond is 0.69764 g.

Hope it helps!

what happens to the value of g when we move from equator to the pole.the weight of an object is greater at poles than at equator .
why?​

Answers

We know that the size of the Earth is not a perfect sphere, it’s flattened near the poles and bulged near the equator. Since, the equator is bulged, the radius is greater. Since the radius is greater the gravity is lesser than compared to poles.

Hope you understand

Which type of bond and how many bonds would occur as carbon dioxide (CO2) is formed from carbon in Group IVA and oxygen in Group VIA?
A. Three metallic bonds
B. two ionic bonds
C. One covalent bond
D. Four covalent bonds

Answers

Answer:

The answer is D. Four covalent bounds

An engineering company needs to solve a design problem.
It is designing a high-speed train to transport passengers
between Boston and Atlanta.
Which statement is a criterion for this project?
O A. The train must not take more than six years to build.
B. The train must not have wheels with bearings that need
lubrication,
O C. The train must cost less than $150 million to design.
D. The train must be able to maintain a speed of 250 km/h.

Answers

The  engineering company must consider the speed of the train in the design.

The correct answer is option D.

To design a high speed train to transport passengers between Boston and Atlanta, the engineering company must include the following design criterion in the project:

the speed of the train: this must be high in order to satisfy the high-speed criterion in the statement of the problem.

Thus, the only statement in all the given options that considered speed of the train is option D.

"D. The train must be able to maintain a speed of 250 km/h."

Learn more here: https://brainly.com/question/16173068

Answer:

The train must provide a smooth ride for passengers between bosten and atlanta

Explanation:

A rock is thrown straight up from the edge of a cliff. The rock reaches the maximum height of 15 m above the edge and then falls down to the bottom of the cliff 35 m below the cliff. What is the traveled distance of the rock?
A. 30 m B. 35 m C. 50 m D. 65 m

Answers

Answer:

The distance travelled by the rock is 65m

The rock is thrown 15 m up from the edge of the cliff and it have to travel 15 m down to reach the cliff and go to bottom  of the cliff by 35 m. Thus, the total distance travelled by the rock is 65 m.

What is distance?

Distance is a physical quantity used to measure how far an object is travelling. It is a scalar quantity and is characterised by magnitude only. Distance travelled is sometimes substituted with displacement. Both have the units in cm, m, feet, kilometer etc.

Distance in physics is the product of the speed of a moving body and the time taken complete the travel.

Distance = speed × time.

It is given that, the rock is thrown straight up from the edge of a cliff and it reaches upto 15 m. Then it have to return back this 15 m down to reach the edge. From there it goes 35 m below.

Thus, total distance = 15 + 15 + 35 = 65 m.

Therefore, the total distance travelled by the rock is 65 m.

To find more on distance, refer here:

https://brainly.com/question/15172156

#SPJ2

A car is traveling at a constant speed on the highway. Its tires have a diameter of 65.0 cm and are rolling without sliding or slipping. If the angular speed of the tires is 49.0 rad/s , what is the speed of the car, in SI units

Answers

Answer:

Explanation:

The car is rolling without slipping so Vcm= R×ω = 0.325×49 = 16

_________statistics are measures that summarize the characteristics of a sample​

Answers

Answer:

Explanation:

Descriptive statistics statistics are measures that summarize the characteristics of a sample.

Hope it helps

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I got into drugs because I was _______ around with the wrong people.A. hanging B. playing C. bringing D. taking10. At first, Polly and Luna didn't _______ very well, but now they are great friends.A. take on B. get along C. get by D. take over11. I think you should go _______ a nap. You look like you're about to fall asleep, standing up!A. do B. make C. take D. get12. The doctor prescribed some pills and told her to _______ a week's rest.A. own B. have C. make D. put13. He was so exhausted that he _______ asleep at his desk.A. fell B. broke C. made D. dropped14. The kidney _______ a vital role in the removal of waste products from the blood.A. makes B. plays C. takes D. causes15. The food is ready - please could you _______ the table for me?A. make B. take C. lay D. hang16. I'm not sure what flavor I want - I'm still _______ my mind up.A. turning B. making C. staying D. taking17. I try to _______ an example for my employees by always arriving to work on time, replying to emails and phone calls promptly, and taking care of problems as they arise.A. stand B. put C. set D. bring18. I've always _______ an interest in astronomy.A. made B. had C. did D. put19. I _______ no intention of going to her wedding because I am really busy.A. get B. have C. put D. make20. Barry was _______ of the fact that he had never missed a day's work in his life.A. fond B. famous C. proud D. eager21. We _______ great pride in offering the best service in town.A. take B. make C. cause D. put22. We _______ to get cold winters and warm, dry summers in this part of the country.A. appreciate B. tend C. refuse D. agree23. As we _______ experience of interpreting the data, we were able to work faster.A. achieved B. gained C. applied D. made24. Students must also do a _______ on a topic of their own choice.A. job B. project C. task D. mission25. After significant losses last year, the company now _______ the challenge of trying to repair its reputation with investors.A. meets B. comes C. makes D. stands26. She had the wealth and social _______ to command respect.A. station B. standing C. ranking D. grade27. We live in an increasingly secular society, in which religion has less and less _______ on our daily lives.A. change B. influence C. power D. outcome28. I wanted to impress Juliet, so I _______ myself in music by her favorite band.A. turned B. took C. absorbed D. abandoned29. Can we fix the current computer system, or would it be better to start from _______ with a new system?A. opening B. launch C. scratch D. activation30. You need a password to get _______ to the computer system.A. touch B. attachment C. link D. access31. Simon was so _______ in his book that he didn't even notice me come in.A. absorbed B. took C. turned D. addicted32. If you have the vote in an election, you have the legal _______ to indicate your choice.A. attitude B. option C. chance D. Right33. Fish _______ for survival when the water level drops in the lake.A. struggle B. eager C. compensate D. call34. Children are being _______ to new dangers on the internet.A. connected B. exposed C. contributed D. addicted35. The education system must _______ the needs of all children.A. satisfy B. provide C. please D. complete Question 15 OT 25Which process is an example of an exothermic reaction?A. The reactions taking place in a cold packB. A plant using photosynthesis to create sugarsC. Natural gas burning on a stoveoD. The reactions taking place inside a baking cake What is an element?A. A substance made up of all the same type of atomsB. A substance made up of different kinds of atoms A farmer is building a grain mill. The grain is poured inside the mill from the top, and the farmer rotates the handle to grind the grain that goes through the mill. In 12 sentences, explain how she can improve the design of the mill to require less force for grinding. Find three consecutive even integers so that twice the largestis 20 less than the sum of all three how do you solve 11=t+11.5-t? help me i dont understand Explain how ABS system works using a friction