consider the following problem. find the distance traveled in 35 seconds by an object traveling at a velocity of v(t)

Answers

Answer 1

The distance traveled by an object in 35 seconds, given its velocity function v(t), can be calculated by integrating the velocity function over the given time interval.

To find the distance traveled by the object, we need to integrate its velocity function, v(t), over the time interval from t = 0 to t = 35. Integration allows us to find the total change in position over the given time interval. By integrating the velocity function, we obtain the displacement function, which represents the change in position with respect to time.

The displacement function denoted d(t) can be obtained by integrating the velocity function v(t) over time. H. d(t) = ∫v(t) dt. In this case, we integrate the velocity function over the time interval from t = 0 to t = 35. After performing the integration, we have a displacement function that represents the change in the body. positioned.

Since distance is always positive, we consider the absolute value of the displacement function to calculate the distance traveled. Finally, we evaluate the distance function at t = 35 seconds to determine the total distance the object has traveled during that time period.

Find more about velocity on:

https://brainly.com/question/24567267

#SPJ11

Related Questions

What is 63,235 inches in km?

Round your answer to 2 decimal places

Answers

Answer:

1.606 km

Explanation:

63,235 inches = 1.606 km

Which of these measures a wavelength.

Answers

Answer:

Explanation:

To measure wavelength, you would find the distance from crest (top of the wave) to crest.

Hope this helps! :)

Use the information in Question 1 to answer the following question. Determine the voltage across the capacitor after t = 2.94LaTeX: \tau

Use the information in Question 1 to answer the following question. Determine the time it takes the capacitor to reach 2.2 V.

( question 1:

4.90(1-exp(-2.00t)) + 0.10

determined the time constant as 0.5 )

Answers

The voltage across the capacitor after t = 2.94τ is approximately 4.74 V, the time it takes the capacitor to reach 2.2 V is approximately 0.407 seconds.

Using the given time constant of 0.5 ,

voltage equation 4.90(1- exp (-2.00t)) + 0.10, we can solve for the voltage across the capacitor after t = 2.94τ:

t = 2.94τ = 2.94 x 0.5 = 1.47 seconds

V(t=2.94τ) = 4.90( 1 - exp (-2.00 x 1.47)) + 0.10

≈ 4.74 V

To determine the time it takes the capacitor to reach 2.2 V, we can rearrange the voltage equation:

4.90(1-exp(-2.00t)) + 0.10 = 2.2

Solving for t:

t ≈ 0.407 seconds

To know more about voltage refer here:

https://brainly.com/question/29445057

#SPJ11

Your car battery is a 12 V DC source. Typically you might find a fuse that can handle a 5 amp surge. What resistance is that fuse protecting?

Answers

Answer:

2.4 ohms

Explanation:

From the question,

Applying ohm's law,

V = IR.................... Equation 1

Where V = Voltage of the car battery, I = current, R = resistance

Make R the subject of the equation

R = V/I.................. Equation 2

Given: V = 12 V, I = 5 amp.

Substitute these values into equation 2

R = 12/5

R = 2.4 ohms

1. Two 500 g point masses are rotating on a light frame at a radius of 0.1 m from a vertical axis. The angular speed of the system is 20 rad s-1. a a) What is the moment of inertia of the system about the axis? b) What is the angular momentum of the system about the axis? c) If the masses were pulled into a radius of 0.05 m by an internal radial force, what would the angular momentum of the system now be? d) What is the new angular speed of each mass? e) By how much did the energy of the masses change?

Answers

(a) The moment of inertia of the system about the axis can be calculated using the formula for the moment of inertia of a point mass rotating about an axis.

(b) The angular momentum of the system about the axis can be determined by multiplying the moment of inertia by the angular speed.

(c) If the masses are pulled into a smaller radius, the moment of inertia will change, resulting in a new angular momentum for the system.

(d) The new angular speed of each mass can be calculated using the principle of conservation of angular momentum.

(e) The change in energy of the masses can be determined by comparing the initial and final kinetic energies of the system.

(a) To calculate the moment of inertia of the system about the axis, we consider the two point masses rotating at a given radius. The moment of inertia for each point mass is given by the formula I = m * r², where m is the mass and r is the radius.

Since there are two masses, we can calculate the total moment of inertia by summing the individual moments of inertia.

(b) The angular momentum of the system is determined by multiplying the moment of inertia by the angular speed. Using the formula L = I * ω, where L is the angular momentum, I is the moment of inertia, and ω is the angular speed, we can find the angular momentum of the system.

(c) If the masses are pulled into a smaller radius, the moment of inertia will change. We can calculate the new moment of inertia using the same formula as in (a) but with the new radius. With the new moment of inertia, we can determine the new angular momentum of the system.

(d) To find the new angular speed of each mass, we apply the principle of conservation of angular momentum. The initial angular momentum of the system is equal to the final angular momentum. By rearranging the equation L = I * ω and solving for ω, we can calculate the new angular speed.

(e) The change in energy of the masses can be determined by comparing the initial and final kinetic energies of the system. The initial kinetic energy is given by (1/2) * I * ω², where I is the initial moment of inertia and ω is the initial angular speed.

Similarly, the final kinetic energy can be calculated using the new moment of inertia and angular speed. The difference between the initial and final kinetic energies represents the change in energy of the masses.

Learn more about system

brainly.com/question/7589753

#SPJ11

A 61. 7 kg carpenter at a construction site plans to swing in a circular arc from one roof top to an adjacent roof at the end of a 11. 5 meter rope suspended from a crane boom. If her wiry arms, toughened by years of driving spikes with a no. 22 framing hammer, are capable of exerting 1229 n of force on the rope, what is the maximum speed that she can tolerate at the low point of her swing?

Answers

The maximum speed she can tolerate at the low point of her swing is 10.78 m/s.

Given that,

Mass of the carpenter = 61.7 kg

Length of the rope = 11.5 m

Capable force = 1229 N

Centripetal force acting on the body, F = mv²/r = 61.7* v²/11.5 = 5.37 v²

Gravitational force acting on her is

F = mg = 61.7* 9.81 = 605.28 N

Equating the summation of centripetal force and gravitational force with total capable force,

5.37 v² + 605.28 = 1229

5.37 v² = 623.72

v² = 116.15

v = 10.78 m/s

Thus, the maximum speed she can tolerate at the low point of her swing is 10.78 m/s.

To know more about velocity:

https://brainly.com/question/13950492

#SPJ4

A potential difference of 24 V is applied to a 150-ohm resistor. How much current flows through the resistor?

Answers

Given :- A resistor of 150 ohm, hence Resistance (R) = 150 ohm

Potential Difference (v) = 24 V

Current (I) = ?

V = IR

24 = I × 150

I = 24/150

I = 0.16 ampere

hope it helps!

Which observations most likely led to Jenna’s conclusion?

a change of odor
a decrease in temperature
a change in moisture content
a decrease in mass

Answers

The findings that most likely contributed to Jenna's conclusion were a change in smell. Option A is correct.

What is odor?

A fragrance, usually an unpleasant one: The smell of sweaty feet was palpable throughout the space. Our body odor has a big impact on the kinds of scents we enjoy.

The complete question is;

"Jenna pulled out an open bowl of leftover mashed potatoes from the fridge and smelled something different. She discovered that since the potatoes were initially placed there, chemical changes had taken place. Which facts most likely supported Jenna's judgment?

a change of odor

a decrease in temperature

a change in moisture content

a decrease in mass"

The observation that most likely inspired Jenna to draw her conclusion was a change in odor.

Hence, option A is correct.

To learn more about the odor refer;

https://brainly.com/question/5396055

#SPJ1

Answer:

A change in odor

Explanation:

A force of 40. 0 n accelerates a 5. 0-kg block at 6. 0 m/s2 along a horizontal surface.

Answers

A force of 40. 0 n accelerates a 5. 0-kg block at 6. 0 m/s2 along a horizontal surface. The value of the net force acting on the block will be 79N.

The combination of mass and acceleration is known as force, and it acts on the body to cause it to move. Since the block is being affected by an external force, there will be a frictional force that prevents the block from moving. The frictional force is given by and can be represented by the symbol f(k).

f(k) = external force - (ma)

f(k) = 40N - (5×6)

f(k) = 40N - 30N

Since it opposes the external force, f(k) = 10N, and since the sign is negative, f(k) = -10N.

In addition, the body is subject to a gravitational force that is equal to mg, where g is the acceleration caused by gravity.

Now, force of gravity = mg

= 5×9.8 = 49N

Now, net force acting on the block = 40N - 10N + 49N= 79N.

Your question is incomplete but most probably your full question was

A force of 40.0 N accelerates a 5.0-kg block at 6.0 m/s2 along a horizontal surface. what is the net force acting on the block

Learn more about Force at:

brainly.com/question/27777011

#SPJ4

What would happen if your body id exposed to the vaccum of space?

Answers

Answer:

Acute exposure to the vacuum of space: No, you won't freeze (or explode) ... Upon sudden decompression in vacuum, expansion of air in a person's lungs is likely to cause lung rupture and death unless that air is immediately exhaled.

Explanation:

a force f s 5 14x i ^ 1 3yj ^2, where f s is in newtons and x and y are in meters, acts on an object as the object moves in the x direction from the origin to x 5 5.00 m. find the work w 5 e f s ? d r s done by the force on the object.

Answers

The work done by this variable force is 50 Joules.

When a force is applied to a body there is displacement in the body. Work is a scalar product of the force acting on the body and the displacement of the body.

The force is given as Fs=(4xî+3yj )N. The distance the object moves in the x direction from the origin x=5m. Since there is no displacement in the y axis so y=0.

So work done W= ∫ Fs. dr from 0 to 5m limit = ∫ 4 x dx+3 y dx= ∫ (4 x dx+0)=[4x/2]0 to 5 = 50 J.

So the work done by this force is 50J.

For further learning about work done by a variable force , follow the link:

https://brainly.com/question/24101801

#SPJ4

HeLp aSAp!!! If the speed and distance of an object are given, and I need to find the time, I will...

A. add the speed and distance

B.divide the speed and distance

C. multiply the speed and distance

Answers

Answer:

B - Divide Speed and Distance

Explanation:

Hope it helps!!

B. devide the speed and distance .

Cleo stated that light travels through air in straight paths, and when it moves from air to water, light changes direction, speeds up, and bends toward the normal.

Which statement best describes Cleo’s mistake?
A. Light travels through air and water in angled, scattered paths.
B. Light does not change direction when it moves from air into water.
C. Light slows down when it moves from air into water.
D. Light bends away from the normal when it moves from air into water.

Answers

Answer:

light bends away from the normal when it moves from air into water-refraction

Answer: C.) Light slows down when it moves from air into water.

Explanation: i hope this helps :)

Identify all the forms of energy in the picture below
identify thermal energy, mechanical energy, radiant energy, electrical energy, sound energy, and chemical energy

Answers

Answer:

we are going to focus on just a few. • Heat energy ( Thermal). • Mechanical energy. • Light (Radiant) energy. • Electrical energy. • Sound energy. • Chemical energy

Atoms of which pair Of elements will form ionic bonds in a compound?
A. Ag and Ca
B. Na and Al
C. I and F
D. Be and Cl

Answers

Atoms of the pair of elements that will form ionic bonds in a compound are : C.) I and F.

What is meant by ionic bonds?

Ionic bonds are a type of linkage created by electrostatic attraction between ions with opposing charges in chemical compounds.

Iodine has electronegativity of 2.66 and Fluorine has electronegativity of 3.98, which is a difference of 1.32. This large difference in electronegativity makes it favorable for Iodine to lose an electron and for Fluorine to gain an electron, forming ionic bond in compound.

The formation of ionic bonds occurs between atoms with large difference in electronegativity, where one atom loses electrons and other gains electrons to achieve stable electron configuration.

To know more about ionic bond, refer

https://brainly.com/question/13526463

#SPJ1

In the dark, is the current through an LDR higher or lower than in the light?

Answers

Answer:

An LDR's resistance is high in the dark and at low light levels, allowing only a little amount of current to pass through it. An LDR's resistance is low in bright light, allowing more current to flow through it.

are your results in complete agreement with the fundamental lens equation ? if not, to what to you attribute the discrepancies?

Answers

Yes, the outcomes are in perfect accordance with the basic lens equation.

What does the basic lens equation entail?

1/f = 1/s1 + 1/s2. This is the equation for the Gaussian lens. The basic relationship between the size of both the optical system and the diffraction limit of the lens is given by this equation.

What are the lens equation and formula?

For a spherical mirror, the focal length, scale factor, and object distance are all related by the lens equation, often known as the lens formula. The formula is presented as follows: Lens Equation - 1/u + 1/v = 1/f, where v is the image's distance from the lens.

To know more about lens equation visit :

https://brainly.com/question/11971432

#SPJ4

When atoms of an element are excited, they emit specific wavelengths of light. How is this similar to a fingerprint when Fraunhofer lines are taken into account and useful for determining elements within a star?

Answers

Answer:

As you may know, each element has a "fixed" number of protons and electrons.

These electrons live in elliptical orbits around the nucleus, called valence levels or energy levels.

We know that as further away are the orbits from the nucleus, the more energy has the electrons in it. (And those energies are fixed)

Now, when an electron jumps from a level to another, there is also a jump in energy, and that jump depends only on the levels, then the jump in energy is fixed.

Particularly, when an electron jumps from a more energetic level to a less energetic one, that change in energy must be compensated in some way, and that way is by radiating a photon whose energy is exactly the same as the energy of the jump.

And the energy of a photon is related to the wavelength of the photon, then we can conclude that for a given element, the possible jumps of energy levels are known, meaning that the possible "jumps in energy" are known, which means that the wavelengths of the radiated photons also are known. Then by looking at the colors of the bands (whose depend on the wavelength of the radiated photons) we can know almost exactly what elements are radiating them.

the _____ an object moves, the ______ it has

Answers

Answer:

1st blank is (faster)

2nd blank is (more kinetic energy it has)

Kinetic energy increased as mass and speed are increased.

which orientation is the preferred orientation? h acquires a partially positive charge, while cl acquires a partially negative charge.

Answers

The preferred orientation, in this case, would be the one where the partially positive h is closest to the partially negative cl, as this allows for the strongest electrostatic attraction between the two atoms. This is known as the "head-to-tail" orientation.

The preferred orientation in a molecule where H acquires a partially positive charge and Cl acquires a partially negative charge is when the hydrogen atom (H) is closer to a more electronegative atom, such as chlorine (Cl). This creates a polar bond due to the difference in electronegativity between H and Cl, resulting in a partially positive charge on H and a partially negative charge on Cl.

If you need to learn more about partial positive charge click here:

https://brainly.com/question/14992889

#SPJ11

Suppose that the mirror is moved so that the tree is between the focus point F and the mirror. What happens to the image of the tree?

1. the image moves behind the curved mirror.
2.The image stays the same.
3.The image appears taller and on the same side of the mirror.
4. The image appears shorter and on the same side of the mirror.

Answers

When the mirror is moved so that the tree is between the focus point F and the mirror, the image appears shorter and on the same side of the mirror.This happens because of the phenomenon known as Reflection of Light. The mirror reflects light in such a way that it appears as if the light is coming from behind the mirror.

As a result, a virtual image is formed behind the mirror. This virtual image is similar in size and shape to the object being reflected.The characteristics of the image produced by a mirror depends on the location of the object relative to the mirror. There are two types of mirrors that we use to reflect light: Concave and Convex. In the case of a concave mirror, the image produced can either be real or virtual. When an object is placed between the focus point and the mirror, a virtual and erect image is produced. This image is smaller than the actual object and appears behind the mirror. The image is virtual because the light rays do not converge at the location of the image. In the case of a convex mirror, the image produced is always virtual, erect, and smaller than the actual object. As the object moves closer to the mirror, the image gets smaller. If the object is moved to a position where it is between the focus point and the mirror, the image produced will appear shorter and on the same side of the mirror.

For such more question on Concave

https://brainly.com/question/30225075

#SPJ8

Define Numerical Aperture (NA):What are the two light capturing lenses in microscope?What is the purpose of the condenser?

Answers

Numerical Aperture (NA) is a measure of the ability of an optical system, such as a microscope, to gather and focus light.

The two light capturing lenses in a microscope are the objective lens and the eyepiece lens. The objective lens is located close to the object being viewed and is responsible for capturing the light that forms the image. The eyepiece lens is located close to the viewer's eye and magnifies the image produced by the objective lens.

The purpose of the condenser is to focus and direct light onto the object being viewed. It is located below the stage of the microscope and typically consists of a lens and an aperture. The aperture controls the amount of light that enters the microscope and helps to increase the resolution of the image by reducing the size of the light cone that enters the objective lens.

Learn more about Numerical Aperture here;

https://brainly.com/question/31065059

#SPJ11

Room temperature is about 77°F. Which temperature is an equivalent temperature?

Answers

Answer:25

Explanation:

Formula(77°F − 32) × 5/9 = 25°C

Answer: The answer is C. 298 K

Explanation:

A student pulls a rope attached to a box of books and moves the box down the hall. The student pulls with a force of 185 N and an angle of 21.0° above the horizontal. The box has a mass of 45.0 kg and the coefficient of kinetic friction between the box and the floor is 0.27. Find the acceleration of the box.
1.2 m/s2
4.1 m/s2
2.8 m/s2
3.8 m/s2

Answers

Answer:

wow that's a lot well.....

can someone pls help i’m not good at pysics

Answers

The earth pulls the moon with as much force as the moon pulls the earth.

1. Acceleration can result from a change of _______, or a change in ___________, or both *
distance, direction

temperature, volume

speed, direction

force, momentum

2. The acceleration is _______ when an object is speeding up. *

positive

negative

zero

constant

2. The acceleration is _________ when an object is slowing down. *

positive

negative

zero

constant

3. When an object is moving at a constant speed, its acceleration is ________. *

positive

negative

zero

constant

4. A roller coaster is moving at 35 m/s at the bottom of a hill. Four seconds later it reaches the top of the hill moving at 7 m/s. What was the acceleration of the coaster? Include: the formula, the work, the units, and mention if the object was accelerating or decelerating. *

5. A train moves from stop to a speed of 30 m/s in 25.0 seconds. What is its acceleration? Include: the formula, the work, the units, and mention if the object was accelerating or deccelerating. *

6.How long will it take a car to go from a complete stop to 33 km/hr if they are accelerating at 11 km/hr2? Include: the formula, the work, the units, and mention if the object was accelerating or deccelerating.

7.A train was going 100 m/s hit the brakes after seeing a deer who decided to have a nap on the train tracks. It took the train 1 minute 40 seconds to stop, what was the train’s acceleration? Include: the formula, the work, the units, and mention if the object was accelerating or deccelerating.

8. Write a short story that contain an acceleration/decceleration problem. Include numbers and units and solve for the unknown according to your story. Make sure to include the formula, the work, and the right units. *

Answers

Answer:

not sure

Explanation:

jahhhhhsjjjjdddddhdhdj hbdbd#dialectical DHL I have no clue W Bush administration and I don't have any jshshhhhdgggddddddd the entire community was literate because

a. they had been slaves and had not been to school