How long would it take for a person to sprint from the 0m line to the 100m line if they are traveling forward at 6m/s?

Answers

Answer 1

Answer:

This section assumes you have enough background in calculus to be familiar with integration. In Instantaneous Velocity and Speed and Average and Instantaneous Acceleration we introduced the kinematic functions of velocity and acceleration using the derivative. By taking the derivative of the position function we found the velocity function, and likewise by taking the derivative of the velocity function we found the acceleration function. Using integral calculus, we can work backward and calculate the velocity function from the acceleration function, and the position function from the velocity function.

Explanation:

Derive the kinematic equations for constant acceleration using integral calculus.Use the integral formulation of the kinematic equations in analyzing motion.Find the functional form of velocity versus time given the acceleration function.Find the functional form of position versus time given the velocity function.

Related Questions

NEED HELP!!! 13 POINTS!!!

Exercise builds muscles because it causes them to contract. If this is the case, would massage, which causes them to relax, also be a way of building muscle?
A.
No, massage does not have any health benefits.
B.
Yes, any working with muscles makes them stronger.
C.
Yes, massage begins when the muscles are very tight.
D.
No, the contraction is where building strength comes from.

2. Maleek wants to do some push-ups to build the eccentric muscles in his arms. What is the BEST advice for him?
A.
He needs to do as many as possible quickly since speed is the key.
B.
Be sure to hold the push-up at the top to get the maximum benefit.
C.
Do pull-ups since push-ups do not work the eccentric muscles in the arms.
D.
The lower he goes with his push-up, the more eccentric benefits he will get.

PLEASE NO LINKS

Answers

the first one is D No, the contraction is where building strength comes from.

the second one is C Do pull-ups since push-ups do not work the eccentric muscles in the arms.

how does a second class lever make our work easier​

Answers

Answer:

In a second class lever, the load is located between the effort and the fulcrum. If the load is closer to the fulcrum than the effort, then less effort will be required to move the load. If the load is closer to the effort than the fulcrum, then more effort will be required to move the load.

Explanation:

from what i learned, if its farther away from the load, its easier to lift, like a wheel barrel

A truck of mass 10000kg moving through a sloppy road of length 20km with the help of 5000N force. If the truck climbs the vertical height of 200m and it's efficiency is 80% calculate the additional mass that can be carried by the truck​ ?​

Answers

Answer:

30000

Explanation:

Statement of the given problem,

A truck of mass 10000 kg is moving through a sloppy road of length 20 km with the help of 5000 N force. If the truck climb the vertical height of 200 m and its efficiency is 80% calculate the additional mass that can be carried by the truck?

Let M denotes the additional mass (in kg) that can be carried by the truck.

From above data we determine that,

P.E. gained by total mass at the vertical height of 200 m = 80% of work done by the applied force [road elevation = tan^-1 (200/20000) = 0.57° (assumed negligible)]

Hence we get following relation,

(10000 + M)*g*200 = 5000*20*1000*80/100 [g = gravitational acceleration]

or 10000 + M = 50000*8/g = 50000*8/10 [g = 10 m/s^2 (assumed)]

or M = 40000 - 10000 = 30000 (kg) [Ans]

A murder has been committed and you are a juror at the trial. The prosecuting attorney has presented evidence that the victim put up a struggle and injured her assailant, drawing blood, prior to her demise. Blood typing was completed and the blood type matches the defendant's blood type. The prosecuting attorney states that this evidence is proof that the defendant is guilty of murder. As a juror, do you think the defendant is guilty of murder based on this evidence? Why or why not? If not, what other evidence do you think is needed?

Answers

The fact that the blood type matches that of the defendant is no proof that the defendant is guilty as charged.

There are about four blood types that people can have, these blood types are; A, B, AB and O. Everybody must posses one of these blood types. A person's blood type is determined through laboratory tests.

The  prosecuting attorney was wrong in concluding that the defendant is guilty as charged only based on the blood type evidence. different people could have the same blood type. Only DNA analysis can conclusively prove that the defendant is actually guilty as charged.

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calculate the volume of a spare with radius 7cm

Answers

Answer:

around 1436.76 cm^3

Explanation:

v = 4/3(3.14)7^3

v = 4/3(3.14)343

v = 4/3(1077.02)

v = 1436.02666667

round up

v = 1436.027

if you use pi, then the answer would be around 1436.76 cm^3

A 130 N horizontal force keeps a 30 kg chair moving at a constant velocity. Find the coefficient of kinetic friction between the chair and the floor.

Answers

The coefficient of kinetic friction between the chair and the floor is 0.44.

Given the following data:

Horizontal force = 130 NMass of chair = 30 kg

We know that the acceleration due to gravity (g) of an object on planet Earth is equal to 9.8 [tex]m/s^2[/tex]

To find coefficient of kinetic friction between the chair and the floor:

Mathematically, the coefficient of kinetic friction between two objects is given by the formula;

[tex]u = \frac{F_k}{mg}\\\\u = \frac{130}{30[9.8]}\\\\u = \frac{130}{294}[/tex]

Coefficient of kinetic friction, u = 0.44.

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Two coins, made of different material, are placed next to each other so that they are touching. Both coins are 15mm in diameter. One coin has a mass of 6.5 g and the gravitational force between the coins is 4.03 × 10^-11 N

Answers

The mass of the second coin for the given gravitation force is 20.9 g.

The given parameters;

distance between the two coins, r = 15 mm = 0.015 mmass of one coin, m₁ = 6.5 g = 0.0065 kggravitational force between the coins =  4.03 × 10⁻¹¹ N

The mass of the second coin is determined by applying Newton's law of universal gravitation as shown below;

[tex]F = \frac{Gm_1 m_2 }{R^2} \\\\m_2 = \frac{FR^2}{Gm_1} \\\\m_2 = \frac{(4.03 \times 10^{-11}) \times (0.015)^2}{(6.67 \times 10^{-11}) \times (0.0065)} \\\\m_2 = 0.0209 \ kg\\\\m_2 = 20.9 \ g[/tex]

Thus, the mass of the second coin for the given gravitation force is 20.9 g.

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A concave mirror of focal length 10cm forms an inverted image of 40cm from the mirror and 4cm high. Determine the position and size of the object by scale drawing and by calculation

Answers

The equation of the constructor of the geomeric optics allows to find the results for the distance and size of the objects are:

Distance from the mirror to the object is:  p = 13.3 cm The height of the object is: h = 1.33 cm

The equation of the constructor of geometric optics describes the position of objects and their images for mirrors and lenses.

       [tex]\frac{1}{f} = \frac{1}{p} + \frac{1}{q}[/tex]  

Where f is the focal length, p and q are the distances to the object and the image, respectively.

They indicate the focal length f = 10 cm, the distance to the image q = 40 cm, that the height s h ’=  4 cm.  In the attachment we see a scheme of the system.

Let's find the distance to the object.

        [tex]\frac{1}{p\frac{x}{y} } = \frac{1}{f} - \frac{1}{q} \\\frac{1}{p} = \frac{1}{10} - \frac{1}{40}\\\frac{1}{p} = 0.075[/tex]

       p = 13.3 cm

The magnification in the ratio of image size to object size.  The image is inverted so its height is negative.

        [tex]m = \frac{h'}{h} = - \frac{q}{p}\\h = - \frac{p}{q} \ h'\\h = - \frac{13.3}{40}\ (-4)[/tex]

        h = 1.33 cm

In conclusion using the equation of the constructor we can find the results for the distance and size of the objects are:

Distance from the mirror to the object is  13.3 cm The height of the object is 1.33 cm

   

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Suppose you have a pendulum clock that keeps correct time on Earth (acceleration due to

gravity = 9.8 m/s

2
). Without changing the clock, you take it to the Moon (acceleration due to

gravity = 1.6 m/s

2
). For every hour interval (on Earth) the Moon clock will record​

Answers

9.8 minutes approximately

I have worked with so many writers who worry their
inconsistent memory is not sharp enough, exact enough, or
reliable enough for them to capture childhood moments with
any authority, and, of course, science had proven the fallibility
of memory time and time again.
O NO CHANGE
O has proven
O had proved
O proved
Help

Answers

Answer:

has proven had proved proved no change

Answer:

I believe it's the second option "has proven"

Explanation:

It just sounds like it fits better.

Sorry if it's wrong btw.

Suppose two ships start from point B and travel west. One ship travels at an average velocity of 35 km/h for 2.2 h. Another ship travels at an average velocity of 26 km/h for
2.5 h. What is the final position of each ship?

Answers

Answer:

Another ship travels at an average velocity of 26 km/h for

Explanation:

Ship one will cover a distance of 77 km after 2.2 hours and ship two will cover a distance of 65 km after 2.5 hours.

What are average speed and velocity?

The average speed of an object is the average distance it covers in a given length of time. The scalar number reflects the average speed. Direction can be replaced with magnitude.

[tex]Average\ speed=Total\ distance/Total\ time[/tex]

Average velocity is a vector quantity. The change in position or displacement divided by the periods of time during which the change occurs is known as average velocity. Depending on how the displacement has been adjusted, the average velocity could be either positive or negative. Meters per second (m/s), or average velocity, is the SI measure for speed.

[tex]Average\ Velocity=Total\ displacement/Total\ time[/tex]

According to the question,

Ship one has an average velocity of 35 km/h for 2.2 hours.

So, total distance covered by ship one = 35 × 2.2 = 77 km.

Ship one has an average velocity of 26 km/h for 2.5 hours.

So, total distance covered by ship one = 26 × 2.5 = 65 km

Hence, the distance covered by ship one is 77 km and ship two will cover 65 km.

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22. Calculate the displacement in meters a cyclist would travel in 5.00 h at an average
of 12.0 km/h to the south west

Answers


Explanation:
To whichever direction, if the cyclist did not change the direction, the displacement is
By formula :d=v×t
given, v=12km/h and, t=5h
=>
x=12km/h×5h=60km=60×1000m=60000m

If the activity of a source is 70 Bq after 2 years, and 35 Bq after 15 years. How long will be until the activity is 8.75 Bq?​

Answers

Answer:

The SI unit for activity is one decay per second and is given the name becquerel (Bq) in honor of the discoverer of radioactivity. That is, 1 Bq = 1 decay/s. Activity R is often expressed in other units, such as decays per minute or decays per year.

A projectile is fired from the ground at a velocity of 30.0 m/s, 35.0 º from the horizontal. What is the maximum height the projectile reaches in the air? How far away from the point it was fired does it hit the ground? What is the time the projectile is in the air?

Answers

Answer:

Vy = V sin theta = 30 * ,574 = 17.2 m/s

t1 = 17.2 / 9.8 = 1.76 sec to reach max height

Max height = 17.2 * 1.76 - 1/2 * 4.9 * 1.76^2 = 15.1 m

H = V t - 1/2 g t^2 = 1.2 * 9.8 * 1.76^2 = 15.1 m

Time to fall from zero speed to ground = rise time = 1.76 sec

Vx = V cos 35 = 24.6 m / sec     horizontal speed

Time in air = 1.76 * 2 = 3.52 sec before returning to ground

S = 24.6 * 3.52 = 86.6 m

un auto recorre 212 km en un tiempo de 3.1 h.Calcular su rapidez en m/s

Answers

Para hacerlo a m/s un método muy práctico es sólo dividir entre 3.6, por cuestiones de conversiones, lo puedes comprobar.

212 km/hr /3.6 = 58 m/s

Comprobación :

V= d / t

V= 212 m / 18000 seg <---- nota que aquí los segundos son de las 3.1hrs  

V= 58 m/seg

If you increase the elasticity of a material, what happens to the speed of a mechanical wave going through it?

Answers

Answer:

At the molecular level, materials are held together by bonds, which act like springs for small displacements from the equilibrium spacing between neighboring atoms. Push the atoms close, the bond pushes back to keep them apart. Pull them apart, the bond pulls the atoms closer. For those small displacements, it acts like a spring

The speed of the wave will be related to the stiffness of of those springs - you compress the material - how quickly do all of those little springs rebound and push their neighboring atoms away, sending that wave of compression through the material.

Explanation:

the energy released by a nuclear fusion reaction is produced when

Answers

Answer:

atoms combine

Explanation:

if the electron affinity for an element is a negative number, does it mean that the anion of the element is more stable than the neutral atom?

Answers

No, the anion of the element is more stable than the neutral atom but an electron in an atom or ion is lower in energy than a free electron.

We know that,

Kinetic energy is defined as the energy of the object that occurs due to the motion of the object. The total work needed by the body to starts accelerating it by the help of given mass which is supplied from the rest position and its mentioned velocity.

The energy body gets due to the process of acceleration by this the body will able to main the kinetic energy of the body without changing the speed of the body.

The energy which has been stored in the body or any object by the help of the particular position or the proper arrangement of the parts is known as potential energy.

There will be no effect of the outside environment on the potential energy that present inside the body.

The kinetic energy decrease or increase with change into the velocity.

Therefore, No, the anion of the element is more stable than the neutral atom but an electron in an atom or ion is lower in energy than a free electron.

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if you enter a room where there is a rotten egg how can you tell

Answers

Answer:

You would smell it.

How is the diametre of a spherical body measured? Explain​

Answers

Answer:

To measure diameter of a spherical body using Vernier Callipers.A small, movable auxiliary graduated scale attached parallel to a main graduated scale and calibrated to indicate fractional parts of the subdivisions of the larger scale.It is useful tool to measure spherical body.Diameter of a sphere=d = 2 * r , Surface area of a sphere: A = 4 * π * r² , Volume of a sphere: V = 4/3 * π * r³ , Surface to volume ratio of a sphere: A / V = 3 / r .

Why should anybody care about sexual harassment?

Answers

Answer:

Explanation:

People should care about sexual harassment for many reasons. such as, sexual harassment is a very serious and touchy topic. Sexual harassment should not be tolerated and can ruin many peoples mental health.

NEED HELP!!! IF YOU ANSWER ALL QUESTIONS I WILL GIVE YOU BRAINEST!!!!! 15 POINTS!!!!

1. Marina comes from a family with a lot of heart disease. She knows that she will have to go out of her way to make sure that her heart stays strong and healthy. What would be the BEST exercise to achieve this goal?
A.
yoga
B.
bowling
C.
swimming
D.
weightlifting

2. Alicia’s coach thinks that she should try some interval training so that she can get some anaerobic activity. Which of these would be BEST for Alicia to add to her routine?
A.
biking with occasional sprints
B.
meditation several times a day
C.
taking stairs instead of escalators
D.
running at a steady pace for miles

3. You should be very ambitious when setting personal goals for health.
A.
True
B.
False

4. Imagine that you are going to make an exercise routine. If your goal was to develop your health rather than one specific improvement, what should be in your plan?
A.
a focus on the benefits of stretching
B.
a variety of aerobic and anaerobic exercises
C.
a single exercise with increasing intensity
D.
an exercise that you have never tried before

PLEASE NO LINKS

Answers

Answer:

1) C.

swimming

2) A.

biking with occasional sprints

3) A.

True

4) B.

a variety of aerobic and anaerobic exercises

Explanation:

the emission of electrons from metals that have absorbed photons is called the

Answers

Answer:

The answer to your question is the Photoelectric effect.

Explanation:

What do you think causes the rising and sinking of molten rock in the mantle?

Answers

Answer:

Heyyy hope this helps

Convection currents describe the rising, spread, and sinking of gas, liquid, or molten material caused by the application of heat.

ultraviolet light destroys which vitamin essential for cell division?

Answers

Answer:

Both Vitamin D and folate level are affected by UV radiation from sunlight.

Explanation:

In order for work to be done, what three things are necessary?

Answers

Answer:

force, displacement & cause.

Explanation:

there must be a displacement and the force must cause the displacement.

i hope this helps you ahh

Wirte Different Methods of Transmission of heat? ​

Answers

Answer:;

Explanation:

Heat can be transferred in three ways: by conduction, by convection, and by radiation.

which of the following objects has no net force acting upon it

Answers

Answer:

D and object with constant velocity

You can tell if something’s a living thing or not by checking if it has?

Answers

Explanation:

To determine whether something is living or nonliving, a living thing must meet seven specific characteristics: feeding, movement, respiration, excretion, growth, sensitivity, and reproduction. A living organism needs to be able to feed to make energy and grow.

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Miss Hawaii

As a falling apple, approaches the ground, its potential energy

Answers

Answer:

Decreases.

Explanation:

When an object with potential energy falls to the ground, its potential energy decreases and kinetic energy increases.

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