. If an object travels at a constant velocity, how does its average velocity compare to its
instantaneous
velocity throughout the trip?

Answers

Answer 1

Answer:

The average velocity is equal to the instantaneous velocity

Explanation:

The average velocity, [tex]\overline v[/tex], is given as follows;

[tex]\overline v = \dfrac{\Delta y}{\Delta t}[/tex]

Where;

Δy = The change in displacement

Δt = The change in time

The instantaneous velocity is the derivative found of the position of the object's displacement with respect to time

Therefore, the instantaneous velocity, [tex]v_{inst}[/tex] = The limit of the average velocity as the change in time becomes closer to zero

[tex]v_{inst} = \lim_{t \to 0} \left (\dfrac{\Delta y}{\Delta t} \right ) = \dfrac{dy}{dx}[/tex]

When the velocity is constant, the displacement time graph is a straight line graph, and the slope of the displacement-time graph which is the same as the velocity is constant  and therefore, we have;

[tex]Slope \ of \ straight \ line \ graph = \dfrac{y_2 - y_1}{t_2 - t_1} = \dfrac{\Delta y}{\Delta t}= \dfrac{dy}{dx}[/tex]

Therefore, for constant velocity, we have, [tex]\overline v[/tex] = [tex]v_{inst}[/tex] the average velocity is equal to the instantaneous velocity.


Related Questions

How do scientists classify species?
A. By comparing the ages of individuals
B. By comparing common names
C. By comparing who discovered them
D. By comparing traits

Answers

Answer:

D. By comparing traits

Explanation:

Because age isn't genetic, as well as names, as well as who discovered, but traits are genetic.  

Answer:

D

Explanation:

“Energy is never created of destroyed, it only transforms from one form to another” is the definition of…
A. The Law of Diminishing Returns
B. The Law of Conservation of Energy
C. The Law of Universal Gravitation
D. The Law of Entropy

Answers

Answer:

it is B. The Law of Conservation of Energy

Explanation:

hope this helps

Can you hear this Picture???
If you know it, you get it

Answers

Answer:

Ah yes.. Beetlejuice

Explanation:

I hear it so well ngl

A monkey pushes a rock horizontally on a frictionless table with a net force of 10 N for 2.0 m. How much kinetic energy does the rock gain?
Round the answer to two significant digits

Answers

Answer:

The answer is 20J

Explanation:

The car has a mass of 22,000Kg. Calculate the force needed to stop the car.

Answers

Answer:

Momentum of car = 1200 kg * 10 m/s = 12000 kgm/s Momentum = Force * time 12000 kgm/s = Force * 20s Force = 600 N

Explanation:

What is most likely to happen during deposition?

Answers

Answer:

a person appears at a specified time and place and gives sworn testimony

Explanation:

Hope this helps

Only about 50% of the solar energy directed toward Earth penetrates directly to the surface. Explain what happens to the rest of the radiation.

Answers

Answer:

it is absorbed or reflected by the atmosphere

Explanation:

In the case when approx 50% only of the solar energy would be directed towards earth and it would be penetrates directly to the surface so the rest or remaining of the radiation would be either absorbed or refected by the atmosphere

So as per the given situation the above represent the answer

hence, the same is to be considered and relevant

Pangaea was not the first, nor will it be the last, super continent. In the process of continental drift, sometimes chunks of continents disappear. Describe how this can happen.

Answers

Answer:

Explanation:

there could be earthquakes or the tectonic plates under can make it fall apart,  natural disasters

hope this helps!!

HELP I'M LAZY AND D U M B



(please use information from the small text to answer the questions)


1. What do the curved blue lines wrapping around Earth represent?
2. The geomagnetic poles move over time. What causes this to happen?
3. How do Earth's geomagnetic poles differ from its geomagnetic poles?
4. Mars has a week magnetic field. How do you think the conditions on the surface of Mars compare with those on Earth? What would that mean for astronauts traveling to Mars in the future?

Answers

Maps can convey a lot of different types of information. They can tell you where you are or they can tell you something about a location. Earth scientists often use maps that have coordinates so that they can locate themselves or the features they are interested in. Different types of maps show different things well. For example, some types of maps show the tropical areas really well but do a terrible job depicting the polar regions.

Everyone experiences a wide range of emotions, but when could they indicate a mental disorder?

Answers

Answer:

Excessive paranoia, worry, or anxiety.

Long-lasting sadness or irritability.

Extreme changes in moods.

Social withdrawal.

Dramatic changes in eating or sleeping patter

Explanation:

hope it helps brainliest if right thx :)

A book is resting on the table. Forces are exerted _____.

upward by the table
downward by the book
in equal and opposite directions
all of the above

Answers

Answer:

downward by the book

Explanation:

because of gravity

Atom X has an atomic number of 10. Atom Y has an atomic number of 4. All of these statements about atoms X and Y are correct except

A . atom X has 8 valence electrons
B. atom Y is less reactive than atom X
C. atom Y has 2 valence electrons
D atom X has the same number of energy levels as atom Y

Answers

A is the correct answer b

the diameter of the moon is _____ that of the earth
answers:
2/3
1/4
1/2
1/3​

Answers

Answer:

2,158.8 mi?

Explanation:

sorry if this is wrong

in an effort to reach the store before it closed the motorist increase the speed of his car from 20 m per second to 60 meters per second over a four second. What was the car's acceleration ​

Answers

Answer:

10

Explanation:

Givens

vi = 20 m/s

vf = 60 m/s

t = 4 second.

Formula

a = (vf - vi) / t

a = (60 - 20)/4

a = 40 / 4

a = 10 m/s^2

Microwaves travel at the speed of light, 300,000 km/s. What is the wavelength of a microwave received at 1000 gigahertz?

Answers

Answer:

3 x 10⁻⁴m

Explanation:

Given parameters:

Speed of light  = 300000km/s

Frequency  = 1000gigahz  = 1000 x 10⁹Hz

Unknown:

Wavelength = ?

Solution:

To solve this problem, we use the expression below:

    V  = F ∧  

V is the speed

F is the frequency

∧ is the wavelength

      300000 = 1000 x 10⁹ x   ∧  

Wavelength  = 3 x 10⁻⁷km = 3 x 10⁻⁴m

Mass varies depending on where the object is located.
True or false

Answers

false
explanation: Weight is the pull of Earth on an object. It depends on the distance from the center of Earth. Unlike weight, mass does not vary with location. The mass of an object is the same on Earth, in orbit, or on the surface of the Moon.

An object on Earth's surface has a mass of 18.7 kg. The object's weight is ________ N.

Answers

Answer:

The mass of an object is the same on Earth, in orbit, or on the surface of the Moon. ... the absence of air resistance, all objects fall with the same acceleration g. ... A 1.0-kg mass thus has a weight of 9.8 N on Earth and only about 1.7 N ... What force does he apply if the stone accelerates at a rate of 1.5m/s2?

Explanation:

Fred spends most Sunday afternoons watching pro football games and consuming large quantities of
food. What effect does this practice have upon his inertia? Explain.
I

Answers

Answer:

His inertia increases.

Explanation:

Inertia is defined as the force which keeps stationary objects to stay still (remain at rest) or moving objects in motion at the same speed and in the same direction unless it is stopped by an external force. It can also be defined as the resistance of an object to resist change by remaining in its state of rest or in motion. Therefore, his inertia increases.

SOMEONE HELP PLEASE ASAP ITS TIMED
A boy is slowly pushing a box across the floor. In which direction is friction occurring?
a. away from the boy
b. toward the boy
c. up
d. down

Answers

it’s A i’m pretty sure.

Roller coasters accelerates from initial speed of 6.0 M/S2 final speed of 70 M/S over four seconds. What is the acceleration?

Answers

Answer:

[tex]a=16\ m/s^2[/tex]

Explanation:

Motion With Constant Acceleration

It's a type of motion in which the velocity of an object changes uniformly in time.

The formula to calculate the change of velocities is:

[tex]v_f=v_o+at[/tex]

Where:

a   = acceleration

vo = initial speed

vf  = final speed

t    = time

The roller coaster moves from vo=6 m/s to vf=70 m/s in t=4 seconds. To calculate the acceleration, solve for a:

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

[tex]\displaystyle a=\frac{70-6}{4}=\frac{64}{4}[/tex]

[tex]\boxed{a=16\ m/s^2}[/tex]

Weight is the direct result of :

A. Distance

B. The amount of gravity being pulled

Answers

B i think ........................

A pendulum consists of a 2.0 kg stone swinging on a4.0 m string of negligible mass. The stone has a speed of 8.0 m/swhen it passes its lowest point. (a) What is the speed when thestring is at 60# to the vertical? (b) What is the greatest angle withthe vertical that the string will

Answers

Answer:

a) [tex]v_{60^{o}} =4.98 m/s[/tex]

b) [tex]\theta_{max}=79.34^{o}[/tex]

Explanation:

This problem can be solved by doing an energy analysis on the given situation. So the very first thing we can do in order to solve this is to draw a diagram of the situation. (see attached picture)

So, in an energy analysis, basically you will always have the same amount of energy in any position of the pendulum. (This is in ideal conditions) So in this case:

[tex]K_{lowest}+U_{lowest}=K_{60^{o}}+U_{60^{0}}[/tex]

where K is the kinetic energy and U is the potential energy.

We know the potential energy at the lowest of its trajectory will be zero because it will have a relative height of zero. So the equation simplifies to:

[tex]K_{lowest}=K_{60^{o}}+U_{60^{0}}[/tex]

So now, we can substitute the respective equations for kinetic and potential energy so we get:

[tex]\frac{1}{2}mv_{lowest}^{2}=\frac{1}{2}mv_{60^{o}}^{2}+mgh_{60^{o}}[/tex]

we can divide both sides of the equation into the mass of the pendulum so we get:

[tex]\frac{1}{2}v_{lowest}^{2}=\frac{1}{2}v_{60^{o}}^{2}+gh_{60^{o}}[/tex]

and we can multiply both sides of the equation by 2 to get:

[tex]v_{lowest}^{2}=v_{60^{o}}^{2}+2gh_{60^{o}}[/tex]

so we can solve this for [tex]v_{60^{o}}[/tex]. So we get:

[tex]v_{60^{o}}=\sqrt{v_{lowest}^{2}-2gh_{60^{0}}}[/tex]

so we just need to find the height of the stone when the pendulum is at a 60 degree angle from the vertical. We can do this with the cos function. First, we find the vertical distance from the axis of the pendulum to the height of the stone when the angle is 60°. We will call this distance y. So:

[tex]cos \theta = \frac{y}{4m}[/tex]

so we solve for y to get:

[tex]y = 4cos \theta[/tex]

so we substitute the angle to get:

y=4cos 60°

y=2 m

so now we can find the height of the stone when the angle is 60°

[tex]h_{60^{o}}=4m-2m[/tex]

[tex]h_{60^{o}}=2m [/tex]

So now we can substitute the data in the velocity equation we got before:

[tex]v_{60^{o}}=\sqrt{v_{lowest}^{2}-2gh_{60^{0}}}[/tex]

[tex]v_{60^{o}} = \sqrt{(8 m/s)^{2}-2(9.81 m/s^{2})(2m)}[/tex]

so

[tex]v_{60^{o}}=4.98 m/s [/tex]

b) For part b, we can do an energy analysis again to figure out what the height of the stone is at its maximum height, so we get.

[tex]K_{lowest}+U_{lowest}=K_{max}+U_{max}[/tex]

In this case, we know that [tex]U_{lowest}[/tex] will be zero and [tex]K_{max}[/tex] will be zero as well since at the maximum point, the velocity will be zero.

So this simplifies our equation.

[tex]K_{lowest} =U_{max}[/tex]

And now we substitute for the respective kinetic energy and potential energy equations.

[tex]\frac{1}{2}mv_{lowest}^{2}=mgh_{max}[/tex]

again, we can divide both sides of the equation into the mass, so we get:

[tex]\frac{1}{2}v_{lowest}^{2}=gh_{max}[/tex]

and solve for the height:

[tex]h_{max}=\frac{v_{lowest}^{2}}{2g}[/tex]

and substitute:

[tex]h_{max}=\frac{(8m/s)^{2}}{2(9.81 m/s^{2})}[/tex]

to get:

[tex]h_{max}=3.26m[/tex]

This way we can find the distance between the axis and the maximum height to determine the angle of the pendulum about the vertical.

y=4-3.26 = 0.74m

next, we can use the cos function to find the max angle with the vertical.

[tex]cos \theta_{max}= \frac{0.74}{4}[/tex]

[tex]\theta_{max}=cos^{-1}(\frac{0.74}{4})[/tex]

so we get:

[tex]\theta_{max}=79.34^{o}[/tex]

The speed when the string is at 60 degrees to the vertical is approximately 8.85 m/s. The greatest angle with the vertical that the string will make is approximately 57.6 degrees.

(a) To find the speed when the string is at 60 degrees to the vertical, we can apply the conservation of mechanical energy between the lowest point (initial position) and the 60 degrees point (final position).

At the lowest point, all of the gravitational potential energy is converted into kinetic energy:

m × g × h = (1/2) × m × v²

v = √(2 × g × h) = √(2 × 9.8 × 4.0) ≈ 8.85 m/s.

Therefore, the speed when the string is at 60 degrees to the vertical is approximately 8.85 m/s.

(b) The greatest angle with the vertical that the string will make, we need to determine the maximum height reached by the stone. At the highest point, all of the kinetic energy is converted into gravitational potential energy:

(1/2) × m × v² = m × g  h(max)

h(max) = (v²) / (2 × g) = (8.0²) / (2 × 9.8) ≈ 3.27 m.

Using the sine function:

sin(Θ) = h(max) / 4.0,

Θ = sin⁻¹(h(max) / 4.0) ≈ sin⁻¹(3.27 / 4.0) ≈ 57.6 degrees.

Therefore, the greatest angle with the vertical that the string will make is approximately 57.6 degrees.

To know more about potential energy:

https://brainly.com/question/24284560

#SPJ6

An LDR was placed near a light source. The following results were
recorded: potential difference = 5.50V current = 12.5 mA. Which equation
links current, potential difference and resistance? *

Answers

Answer:

V = 440I

Explanation:

According to ohm's law which states that the current passing through a metallic conductor at constant temperature is directly proportional to the potential difference across its ends.

Let V be the potential difference

I is the current

R is the resistance

Mathematically;

V∝I

V = IR

Given

Potential difference V = 5.50Volts

Current = 12.5mA = 12.5*10^-3A

Current  I = 0.0125A

Recall that V = IR

R = V/I

Substitute the given parameters into the formula;

R = 5.50/0.0125

R = 440 ohms

Hence the equation that links current, potential difference and resistance is expressed as;

V = I(440)

V = 440I

Item 1 Circuit A has a resistance of 7.5 ohms, and circuit B has a resistance of 5 ohms. Which statement about the circuits must be correct? (1 point) Item 2 Item 3 If the current in circuit A is less than the current in circuit B, then the voltage in circuit A is less than the voltage in circuit B. Item 4 If the voltage of circuit A is equal to the voltage of circuit B, then the current in circuit A is less than the current in circuit B. If the current in circuit A is equal to the current in circuit B, then the voltage in circuit A is less than the voltage in circuit B. If the voltage of circuit A is equal to the voltage of circuit B, then the current in circuit A is equal to the current in circuit B. 0 Type here to search е c​

Answers

Answer:

e4atetetsgts4tgesetse

Explanation:

ger54ttagcuit B, then the voltage in circuit A is less than the voltage in circuit B. Item 4 If the voltage of circuit A is equal to the voltage of circuit B, then the current in circuit A is less than the current in circuit B. If the current in circuit A is equal to the current in circuit B, then the voltage in circuit A is less than the voltage in circuit B. If the voltage of circuit A is equal to the voltage of circuit B, then the current in circuit A is equal to the current in circuit B. 0 Type here to search е c​

A ______ measurement that both size and direction may be represented by an arrow ​

Answers

Answer:

Vector

Explanat

Vector is the only right answer in the situatuin

what caused the rate of the erosion to change around 1905 and 1906

Answers

Answer:

What caused the slope to change around 1905 and 1906? Building the Canadian hydroelectric plant reduced the rate of erosion after 1906. This change in the rate of erosion is represented by the change in the slope on the graph. Hydroelectric dams convert kinetic energy from moving water to electrical energy.

Answer:

In 1906, around the time the Canadian hydroelectric plant began operating, the erosion rate decreased to approximately 0.7 meters per year.

Explanation:

Which statement describes the heat that results from the radioactive decay of elements deep in the Earth's interior?

Answers

Answer:

Try C as the answer, if it works do the thanks button! :D

Explanation:

C) It drives the convection currents in the mantle.

The radioactive decay of elements in the Earth's mantle and crust results in production of daughter isotopes and release of neutrinos and heat energy.The radioactive decay in Earth's crust and mantle continuously adds heat and slows the cooling of the Earth.The heat from radioactive decay is thought to be distributed in the crust and mantle layers of the planet, greatly influencing currents in the mantle.

Learn more:

brainly.com/question/23976097

slader How much energy is required to move a 1040 kg object from the Earth's surface to an altitude four times the Earth's radius

Answers

Answer:

ΔU = 5.21 × 10^(10) J

Explanation:

We are given;

Mass of object; m = 1040 kg

To solve this, we will use the formula for potential energy which is;

U = -GMm/r

But we are told we want to move the object from the Earth's surface to an altitude four times the Earth's radius.

Thus;

ΔU = -GMm((1/r_f) - (1/r_i))

Where;

M is mass of earth = 5.98 × 10^(24) kg

r_f is final radius

r_i is initial radius

G is gravitational constant = 6.67 × 10^(-11) N.m²/kg²

Since, it's moving to altitude four times the Earth's radius, it means that;

r_i = R_e

r_f = R_e + 4R_e = 5R_e

Where R_e is radius of earth = 6371 × 10³ m

Thus;

ΔU = -6.67 × 10^(-11) × 5.98 × 10^(24)

× 1040((1/(5 × 6371 × 10³)) - (1/(6371 × 10³))

ΔU = 5.21 × 10^(10) J

1. The resultant force on a ball is not zero. What will happen to the ball? *
(1 Point)
It will move or change direction.
O it will remain stationary.
O it will spin on its axis.

Answers

Answer:

it will more and change direction

Explanation:

because the resultant force (R) is not equal zero so may be there is a force greater than the other one and the ball will more in the direction of greater force.

and it can't be remain stationary because R=! 0 .

Electric field lines can never cross. What would crossed electric field lines indicate?

a field pointing in two directions
an attractive force on a charge
a nonuniform area of the field
a place where the field strength is zero

Answers

Answer:

It indicates that a force has 2 directions at the point at which they cross

Answer:

A. A field pointing in two directions

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