how do you find average velocity (average) from acceleration) and time (t)?

Answers

Answer 1

Average velocity is defined as the ratio in change in position to change in time,

v[ave] = ∆x/∆t

which on its own doesn't have anything to do with acceleration.

If acceleration is constant, the average velocity is the literal average of the initial and final velocities,

v[ave] = (v[final] + v[initial]) / 2

If this constant acceleration has magnitude a, the final velocity can be expressed in terms of the initial velocity by

v[final] = v[initial] + a*t

and plugging this into the previous equation gives

v[ave] = (v[initial] + a*t + v[initial])/2

v[ave] = v[initial] + 1/2*a*t

If the body in consideration is initially at rest, then

v[ave] = 1/2*a*t

which might be the relation you're looking for. But bear in mind the conditions I've underlined.

If acceleration is not constant and changes over time, so that the acceleration is some function of time a(t), then you can determine the velocity function v(t) by using the fundamental theorem of calculus. You need to know a particular velocity for some time to completely characterize v(t), though. For example, if you're given the initial velocity v[initial] = v(0), then

[tex]\displaystyle v(t) = v(0) + \int_0^t a(u) \, du[/tex]

or if you know any other velocity for some time t₀ > 0,

[tex]\displaystyle v(t) = v(t_0) + \int_{t_0}^t a(u) \, du[/tex]


Related Questions

when do magnets have the most potential energy

Answers

Answer:

Explanation:

Permanent magnets do have potential energy, stored in their magnetic field. That energy can be compared to the potential energy of some compressed spring. See the picture below, representing the magnetic field lines of a magnetized sphere : These lines are compressed inside the magnet.

Honestly I think it’s the pill

Exert a force on the object, what happens to their state of motion​

Answers

The force might make the object move or bring the object to rest or change in direction of motion

> what are the four states of matter? how are they defined?

Answers

Answer:

In physics, a state of matter is one of the distinct forms in which matter can exist. Four states of matter are observable in everyday life: solid, liquid, gas, and plasma.

...

To From Gas

Solid Deposition

Liquid Condensation

Plasma Ionization

A 78 N block is supported by a spring whose constant is 12 N/m. Calculate the elongation of the spring under this load.

a. 6.5 m

b. 1.5 m

c. 8.2 m

d. 7.2 m

Answers

Answer:

a 6.5 m

Explanation:

[tex]f = kx = > x = \frac{f}{k} = \frac{78}{12} = 6.5 m[/tex]

A 3.1 kg carton's GPE was increasing by 7.8 J as it was lifted above the ground. How high was it lifted?

Answers

Answer:it was lifted

Explanation:

by me lifting it because i can life it very high

why can you predict how the moon will change appearance from day to day

Answers

As the Moon orbits our planet, its varying position means that the Sun lights up different regions, creating the illusion that the Moon is changing shape over time. This is because it rotates once on its axis in exactly the same time it takes to orbit Earth – 27 days and seven hours

how to find acceleration with force and mass calculator

Answers

Answer:

[tex]{ \rm{F=ma}} \\ [/tex]

Explanation:

F is forceM is massa is acceleration

Answer:

Please thank, answer below

Explanation:

Acceleration = (Final velocity - starting velocity)/time

Or, Force = mass * accelartion, which can be rewritten to be Accelaration = Force/mass

Objects 1 and 2 attract each other with a gravitational force
of 18.0 units. If the mass of Object 1 is doubled mass of object 2 is tripled AND the
distance separating Objects 1 and 2 is halved, then the gravitational force will be
new gravitational force will be
units.

Answers

The new gravitational force of the two objects will be 432 N.

The given parameters:

Force between object 1 and object 2, F = 18 N

Let the mass of object 1 = m1Let the mass of object 2 = m2Let the distance between the two object = r

The gravitational force between the two objects is calculated by applying Newton's law of universal gravitation;

[tex]F = \frac{Gm_1m_2}{r^2} \\\\G = \frac{Fr^2}{m_1m_2}\\\\G = \frac{Gm_1m_2}{r^2} \\\\G = \frac{18r^2}{m_1m_2}[/tex]

when the mass of the object 1 = 2m1mass of the object 2 = 3m2distance between the two object = ¹/₂r

[tex]\frac{18r^2}{m_1 m_2 } = \frac{F_2(\frac{1}{2}r)^2 }{2m_1 \times 3m_2} \\\\\frac{18r^2}{m_1 m_2 } = \frac{F_2 \times r^2}{4 \times 2m_1 \times 3m_2} \\\\\frac{18r^2\times 4 \times 2m_1 \times 3m_2}{m_1 m_2\times r^2 } = F_2\\\\432 \ N = F_2[/tex]

Thus, the new gravitational force of the two objects will be 432 N.

Learn more about Newton's law of universal gravitation here: https://brainly.com/question/9373839

whats 10x10 PLEASE I NEED THIS

Answers

10 x 10
= 100

Hope you find this helpful! for solving such a difficult equation :3

Brainliest and a like is much appreciated!

Answer:

100

Explanation:

what is the net force required to give an automobile with a mass of 1,600 kg an acceleration of 4.5m/s

Answers

Hi there!

Recall Newton's Second Law:

[tex]\large\boxed{\Sigma F = ma}}[/tex]

∑F = Net force (N)

m = mass (kg)

a = acceleration (m/s²)

We are already given the mass and acceleration, so we can plug these values into the equation:

∑F = 1600 · 4.5 = 7200 N

How fast would a(n) 75 kg man need to run in order to have the same kinetic energy as an 8.0 g bullet fired at 420 m/s ?

Answers

Mass of the bullet (m1) = 8g = 0.008 KgVelocity of the bullet (v1) = 420 m/sWe know, kinetic energy = [tex] \frac{1}{2}m {v}^{2} [/tex]Therefore, the kinetic energy of the bullet

[tex] = \frac{1}{2} \times 0.008 \times 420J \\ = 1.68J[/tex]

So, the kinetic energy of the bullet is 1.68 J. It is said that the man's kinetic energy should be same as that of the bullet.Mass of the man (m2) = 75 KgLet the velocity of the man be v2.Therefore,

[tex]1.68J = \frac{1}{2} \times 75 \: kg \times v2 \\ = > v2 = \frac{1.68 \times 2}{75} m {s}^{ - 1} \\ = 0.0448 \: m \: {s}^{ - 1} [/tex]

Answer:

0.0448 m/s

Hope you could get an idea from here.

Doubt clarification - use comment section.

how to find acceleration with mass and force calculator

Answers

Force = Mass X Acceleration
Mass= Force divided Acceleration Acceleration = Force divided mass

Use the equation a = F/m, where an is the acceleration, F is the force being applied, and m is the mass of the object, to calculate acceleration using mass and force. Calculating the acceleration is as simple as dividing the force by the mass.

What is Newton's second law of motion?

Newton's Second Law of Motion states that the acceleration of an object is directly proportional to the force applied on it, and inversely proportional to its mass. The mathematical representation of this law is:

F = ma

where F is the force applied on an object, m is the mass of the object, and a is its acceleration. This law implies that the greater the force applied on an object, the greater its acceleration will be, and that the acceleration of an object will decrease as its mass increases, given a constant force.

This law helps to explain the behavior of objects under the influence of external forces. It is used in many areas of science and engineering, including mechanics, physics, and aerospace. Understanding the relationship between force, mass, and acceleration is fundamental to the study of mechanics and the design of machines and structures.

Here in the Question,

To find acceleration using mass and force, you can use the following steps:

1. Determine the force acting on the object. This can be done using a force meter, a scale, or by calculating the force using the formula F = ma, where F is the force in newtons (N), m is the mass of the object in kilograms (kg), and a is the acceleration in meters per second squared (m/s²).

2. Measure the mass of the object in kilograms. This can be done using a  scale.

3. Use the formula a = F/m to calculate the acceleration of the object. Rearrange the formula to solve for a: a = F/m.

5. Plug in the values for force and mass and solve for acceleration. For example, if the force acting on an object is 20 N and the mass of the object is 5 kg, the acceleration can be calculated as follows:

a = F/m

a = 20 N / 5 kg

a = 4 m/s²

So, the acceleration of the object is 4 meters per second squared.

It's important to note that the units of force and mass should be in the correct SI units (newtons and kilograms, respectively) to ensure the correct unit for acceleration (meters per second squared).

Therefore, To find acceleration using mass and force, use the formula a = F/m, where a is the acceleration, F is the force applied, and m is the mass of the object. Simply divide the force by the mass to calculate the acceleration.

To learn more about Newton's law of motion click:

brainly.com/question/29775827

#SPJ2

1)A chocolate bar measures 10 cm long by 2 cm wide and is 2 cm thick
a)Calculate the volume of one bar.

b)How many bars each 2 cm long, 2 cm wide and 2cm thick have the same total volume?

c)A pendulum makes 10 complete oscillations in 8 seconds. Calculate the time period of the pendulum​

Answers

Answer:

40cm³

Explanation:

I only have an answer to 1a

Volume = Length X breadth X height

where;

length = 10cm

breadth = 2cm and;

width = 2cm

*Find*

V = ?

V = L X B X H

V = 10 X 2 X 2

= 40cm³✓

If a rock weighing 3.5 newtons is resting on cliff's ledge 12 meters from the canyon floor, what is its potential energy?

Group of answer choices

87 joules

4.5 joules

42 joules

142 joules

Answers

Answer:

42 Joules

Explanation:

Potential energy

= weight × height

= (3.5)(12)

= 42 joules

Which is the United States Space Shuttle-derived heavy expendable launch vehicle being designed by NASA?​

Answers

Answer:

Space Launch System (SLS)

Explanation:

Space Launch System (SLS) is the United States Space Shuttle-derived heavy expendable launch vehicle being designed by NASA.

-TheUnknownScientist 72

Tool
Scientists are searching for planets that orbit stars outside Earth's solar system by collecting data from different technology tools. A student lists a few tools and their cases that would provide clients
with information about these planets in a table, as shown
Use
spectroscope
gathers information about the
planets in any weather conditions
space probe
collects data from the planets that
would otherwise not be available
identifies different elements present
reflector telescope
around the planets
radio telescope produces images of the planets
Which tool is paired correctly with its intended use?
space probe
Opectroscope
radio telescope
reflector telescope

Answers

Answer:

9758 how many significant figures

train travels 1/4of its total distance over half of its time with a constant velocity of 5m/s. calculate the average velocity​

Answers

Let D be the total distance (say in meters) traveled by the train and T the time (say in seconds) it takes to do so. (Assume the train moves in a straight line in only one direction.) Then the average velocity of the train as it covers this distance is

v (ave) = D/T

We're told the train can traverse a distance of D/4 in a matter of T/2 seconds if it moves at a speed of 5 m/s. This means

D/4 = (5 m/s) (T/2)

⇒   5 m/s = 1/2 D/T

⇒   v (ave) = D/T = 10 m/s


A car has a kinetic energy of 41.6 kJ.
The speed of the car is 8.0m/s.
Calculate the mass of the car.

Answers

K=1/2 mv2

M=?

41.6kj convert to joules by multiplying by 1000 so it will be 41,600J because the unit of kinetic energy is in joules.

41,600=1/2(m)(8)

Arrange the equation it will be:

M= 41,600/4 = 10,400

Final answer is:
m= 10,400 kg

2. The _____ investigate crimes anywhere in the state.

Answers

Answer:

State Police

the police organized and maintained by a state as distinguished from those of a lower subdivision (such as a city or county) of the state government.

State police. Because they have state in there name. Like a county sheriff can only arrest people in there county.

if vector b is added to vector a under what conditions does the resultant vector has magnitude a+b?​

Answers

Explanation:

hope it's useful for you knows

A billiard ball with a speed of 5 m/s strikes another stationary billiard ball in a perfectly elastic collision.

After the collision, the first ball has a speed of 4.35 m/s and is traveling at an angle of 30° below its original line of motion.

Find the speed and angle of the second ball, with respect to the initial line of motion, after the collision.

Answers

Assuming both billiard balls have the same mass, conservation of momentum says

[tex]m\vec v_1 + m\vec v_2 = m{\vec v_1}\,' + m{\vec v_2}\,'[/tex]

where m = mass of both billiard balls, and v₁ and v₂ = their initial velocities, and v₁' and v₂' = their final velocities. The masses are the same so the exact value of m is irrelevant. The first ball has initial speed 5 m/s and the second is at rest, so

[tex]\left(5 \dfrac{\rm m}{\rm s}\right) \, \vec\imath = {\vec v_1}\,' + {\vec v_2}\,'[/tex]

After the collision, the first ball has speed 4.35 m/s and is moving at angle of 30° below the original path, so

[tex]{\vec v_1}\,' = \left(4.35\dfrac{\rm m}{\rm s}\right)\left(\cos(30^\circ) \, \vec\imath + \sin(30^\circ) \, \vec\jmath\right) \approx \left(3.77 \dfrac{\rm m}{\rm s}\right) \vec\imath + \left(-2.18 \dfrac{\rm m}{\rm s}\right) \vec\jmath[/tex]

Then the second ball has final velocity vector

[tex]{\vec v_2}\,' \approx \left(1.23 \dfrac{\rm m}{\rm s}\right) \vec\imath + \left(2.18 \dfrac{\rm m}{\rm s}\right) \vec\jmath[/tex]

so it moves with speed

[tex]\left\|{\vec v_2}\,'\right\| \approx \sqrt{\left(1.23\dfrac{\rm m}{\rm s}\right)^2 + \left(2.18\dfrac{\rm m}{\rm s}\right)^2} \approx \boxed{2.50 \dfrac{\rm m}{\rm s}}[/tex]

at an angle of

[tex]\theta \approx \tan^{-1}\left(\dfrac{2.18}{1.23}\right) \approx \boxed{60.5^\circ}[/tex]

or about 60.5° above the original line of motion.

Please help is any one know Its correct answer ​

Answers

Answer:

a=Head

b=Tip

c=South pole of the magnet

d=North pole of the magnet

Calculate amount of current flowing in wire if number of charge is 8 and e = 1.69 x10^-19 , t= 8millsec

Answers

The amount of current flowing in the wire is 1.69 × 10⁻¹⁶ A

From the question,

We are to calculate, the amount of current flowing in the wire.

From the formula,

[tex]I =\frac{nQ}{t}[/tex]

Where I is the current

n is the number of charge

Q is the quantity of charge

t is the time

From the given information

n = 8

Q = e = 1.69 × 10⁻¹⁹ C

t = 8 msecs = 8 × 10⁻³ sec

Putting the parameters into the formula, we get

[tex]I = \frac{8 \times 1.69 \times 10^{-19} }{8\times 10^{-3} }[/tex]

[tex]I = 1.69 \times 10^{-16} \ A[/tex]

Hence, the amount of current flowing in the wire is 1.69 × 10⁻¹⁶ A

Learn more here: https://brainly.com/question/22135459

how is the rate of evporation of a liquid affected by temperature, the surface area of a liquid exposed to air

Answers

As temperature increases, rate of evaporation also increases. This is due to increasing kinetic energy of the surface molecules which leads them to free and become vapour. c. As surface area increases, rate of evaporation also increases.

Which is true for the motion of the car during its journey along OAB?
12)

A) The velocity of the car remains constant throughout the journey.
B) The change in speed alone causes the velocity of the car to vary.
C) The change in direction alone causes the velocity of the car to vary.
D) The velocity of the car changes due to the change in speed and dir

Answers

Answer:

D

Explanation:

A is wrong as the direction of the car changes, implying velocity is changing and not constant.

B and C are wrong as both the change in speed and direction contribute to the change in velocity

____________ is a medium-sized flat-topped hill with cliff-face sides that is taller than it is wide.

Answers

Answer:

mesa

Explanation:

A mesa is a flat-topped mountain or hill. It is a wide, flat, elevated landform with steep sides. ... Spanish explorers of the American southwest, where many mesas are found, used the word because the tops of mesas look like the tops of tables.

Which is the correct answer

Answers

Answer:

C

Explanation:

All of the other options are affecting the gravitational force and opposing force that pushed upwards, the diagram represents an object that is not moving up or down.

how much power is needed to lift a box with a force of 780 newtons over a distance of 2 meters in 45 seconds

Answers

Answer:

34.67 W

Explanation:

Power is the rate at which work is done and can be found by using the formula

[tex]p = \frac{w}{t} \\ [/tex]

p is the power in Watts (W)

w is the workdone in joules

t is time in s

but workdone = force × distance

From the question

force = 780 N

distance = 2 m

workdone = 780 × 2 = 1560 N

Since we now have the value of workdone we can find the power

We have

[tex]p = \frac{1560}{45} = 34.6666666... \\ [/tex]

We have the final answer as

34.67 W

Hope this helps you

what are some examples of non-inertial reference frames, and how exactly can we prove they're non inertial?

Answers

Answer:Passengers instinctively use the car as a frame of reference, while a physicist uses Earth. ... In such a frame of reference, Newton's laws of motion take the form given in Dynamics: Newton's Laws of Motion The car is a non-inertial frame of reference because it is accelerated to the side.

Explanation: Example of inertial and Noninertial Frame of Reference

A bullet having mass of 120 g is fired. It its velocity is 40 m/s, calculate its kinetic energy​

Answers

Happy Holidays!

Recall the equation for kinetic energy:

[tex]\large\boxed{KE = \frac{1}{2}mv^2}}[/tex]

KE = kinetic energy (J)

m = mass (kg)

v = velocity (m/s)

Begin by converting 120 g to kg:

1000g = 1 kg

120 g = .120 kg

Plug in the given values:

[tex]KE = \frac{1}{2}(.120)(40^2) = \boxed{96J}[/tex]

Answer:

96 Joules

Explanation:

[tex]E_k=1/2* mass*velocity^2\\E_k=1/2 * 0.12 kg * (40m/s)^2 = 96 J[/tex]

Other Questions
how many time can reconciliation be done in congress Please help with this question. I dont want another detention Which inequality describes the possible values for x?+2436(3x-6)34eA 2B 2C2D2 What is asymmetry?a.A sense of balance achieved by placing objects or forms that are different on either side of a central line.b.The relationship between parts of a whole and their relation to the whole.c.The two halves divided by a central line are mirror images of one another.d.The arrangement of the elements so that no one part overpowers or seems heavier.Please select the best answer from the choices providedABCD What is the slope of a line that is parallel to the line y = 3/4x + 2? Read the excerpt from Act I, scene I of Romeo and Juliet.Romeo: Well, in that hit you miss: shell not be hitWith Cupids arrow; she hath Dians wit;And, in strong proof of chastity well armd,From loves weak childish bow she lives unharmd.She will not stay the siege of loving terms,Which is the best meaning of the phrase "shell not be hit with Cupids arrow?She loves Romeo but does not want to marry him.She believes Romeo does not really love her.She does not want to fall in love with anyone.She is too young to understand the meaning of love. what is the keyboard shortcut to display formulas on the worksheet : a. CTRL+ B. CTRL+: C. CTRL+; D. ALL THE ABOVE solve the sinusoidal equation:5sin(3x)-1=3 Read the passage. The Ride of His Life When Jesse Senko was 12 years old, he had an experience that literally changed his life. Senko was snorkeling while on vacation in the Cayman Islands with his family when a large sea turtle swam near him. Senko naturally did what any 12-year-old boy would do and decided to grab the turtle and go for a ride. That turtle ride, in some ways, has never ended. People find their passions in many different ways. Senko found his passion while riding on the back of a turtle when he was just 12 years old. Today, Senko is a conservation scientist at Arizona State University. He focuses his research and lifes work on marine resource sustainability. Can you guess what that includes? If you guessed sea turtles, you would be correct. In college, Senko majored in fisheries and wildlife science, and he also received a Master of Science degree in wildlife ecology. Much of the focus of his work is on saving endangered sea turtles. Sea turtles help keep the ocean healthy, and thus their well-being affects the entire ecosystem. They provide a natural regulatory system for the environment. For example, sea turtles eat seagrass, which helps it grow properly, and their unhatched eggs provide nutrients for plant life to keep beaches healthy. Sea turtles also provide a home for small animals that attach to their shells. Sea turtles are endangered because fishermen inadvertently catch them in their nets, which can cause the turtles irreparable harm. Senko came up with the idea to create solar-powered fishing nets so fishermen can readily see when they accidentally catch a sea turtle. Because the lights are solar powered, the fishermen do not have to maintain the lights or change the batteries. This technology has resulted in a 65 percent reduction in sea turtle catches thus far. Senkos goal is a 100 percent reduction. Question 1 Part A What is a central idea of "The Ride of His Life"? Solar power is essential to saving sea turtles. Sea turtles are the most endangered animals in the ocean. Sea turtles are a critical part of the marine ecosystem.Modern technology such as solar nets will help save the environment.Part BWhich sentence from the text best shows the development of the central idea in Part A?"Today, Senko is a conservation scientist at Arizona State University. He focuses his research and lifes work on marine resource sustainability.""Sea turtles are endangered because fishermen inadvertently catch them in their nets, which can cause the turtles irreparable harm.""sea turtles eat seagrass, which helps it grow properly, and their unhatched eggs provide nutrients for plant life to keep beaches healthy.""This technology has resulted in a 65 percent reduction in sea turtle catches thus far." What is the purpose of the supporting details?a.To make a paragraph longerb.To make a paragraph shorterc.To support the main idead.To support your opinion Divide using polynomial long division.2. (x + 7x +44) = (x +4) is an animal reaction to stimulus called .............. You earn $8.45 an hour. How much would you make for a 40-hour week, before taxes are withheld? giving crown What is the total payment required to pay off a promissory note issued for $400.00 at 6% ordinary interest and a 90-day term? Maya has to type a document of 2160 words. The graph below shows her initial progress. Ifshe continues at the same speed, how much time will Maya take to type the document? If measure of angle 3 = 74 find each measure NEED HELP ASAP Describe how to determine the average rate of change between x = 2 and x = 5 for the function f(x) = 2x3 + 4. Include the average rate of change in your answer. Please some urgent help!!!! what is linear spline? rank order the vendors, keeping the seasonal product teams needs in mind.