Researchers have measured the acceleration of racing greyhounds as a function of their speed; a simplified version of their results is shown in (Figure 1). The acceleration at low speeds is constant and is limited by the fact that any greater acceleration would result in the dog pitching forward because of the force acting on its hind legs during its power stroke. At higher speeds, the dog's acceleration is limited by the maximum power its muscles can provide.

How far does the dog run until its speed reaches 4.0 m/s?

Researchers Have Measured The Acceleration Of Racing Greyhounds As A Function Of Their Speed; A Simplified

Answers

Answer 1

[tex]\Huge\boxed{\boxed{\dfrac{4}{5}\ \text{meters}}}[/tex]

Let's start by finding the time it takes for the dog to reach a velocity of [tex]4[/tex] m/s.

We can use the following equation, where [tex]v_i[/tex] is initial velocity, [tex]v_f[/tex] is final velocity, [tex]t[/tex] is time, and [tex]a[/tex] is acceleration.

[tex]v_f-v_i=at[/tex]

We're trying to solve for [tex]t[/tex] first, so divide both sides by [tex]a[/tex].

[tex]\dfrac{v_f-v_i}{a}=t[/tex]

Substitute in the known values.

[tex]\dfrac{4-0}{10}=t[/tex]

[tex]\dfrac{4}{10}=t[/tex]

[tex]\dfrac{2}{5}=t[/tex]

Now, we can use the following formula to find the distance.

[tex]s=v_it+\dfrac{1}{2}at^2[/tex]

Substitute in the known values.

[tex]s=0*\dfrac{2}{5}+\dfrac{1}{2}*10*(\frac{2}{5})^2[/tex]

Anything multiplied by [tex]0[/tex] is

[tex]s=\dfrac{1}{2}*10*(\frac{2}{5})^2[/tex]

Just simplify from there.

[tex]s=\dfrac{1}{2}*10*\dfrac{4}{25}[/tex]

[tex]s=5*\dfrac{4}{25}[/tex]

[tex]s=\dfrac{20}{25}[/tex]

[tex]s=\boxed{\dfrac{4}{5}}[/tex]

Answer 2

Hey there!

The hind legs of the dog create it to accelerate.

We know the mass of the dog is 36km (m).

We know that the acceleration of the dog it 10m/s² (a).

Find the average force with the formula [ f = ma ] where m = mass and a = acceleration.

f = 36*10

f = 360 newtons

We don't know the traveled distance but we do know that the starting speed of the dog was 0m/s and the ending speed was 4m/s.

We can use the formula [ vf² = vo² + 2ad ] where vf = final speed, vo = starting speed, a = acceleration, and d = distance.

We know all the variables except the distance, so we are going to solve for d.

(4)² = (0)² + 2(10)(d)

16 = 0 + 20d

16 = 20d

16/20 = 20d/20

0.8 = d

Therefore, the dog runs 0.8 meters until it reaches 4m/s.

Best of Luck!


Related Questions

Help pls it’s urgent

Answers

Answer:

A

Explanation:

Refraction

refraction
explanation: refraction is the bending of light as it passes from one medium into another.

Which of the following organisms has an adaptation that will allow it to survive in tundra biome? *
A.)Plants with roots that are short and grows sideways with hairy stems and small leaves.
B.)Plants that have broad leaves to capture sunlight and long roots to penetrate the soil.
C.)Animals with thin fur that allows them to get rid of heat efficiently.
D.)Animals with long tongues for capturing prey and sticky pads for climbing trees.

Answers

Answer:

the awnser is A becuse the hair help.

Picture a long, straight corridor running east-west, with a water fountain located somewhere along it. Starting from the west end of the corridor, a woman walks a short distance east along the corridor and stops before reaching the water fountain. The distance from her to the fountain is twice the distance she has walked. She then continues walking east, passes the water fountain, and stops 60 m from her first stop. Now the distance from her to the fountain is twice the distance from her to the east end of the corridor. How long is the corridor

Answers

Answer:

The corridor's distance is "90 m".

Explanation:

She heads in the east directions but creates the first pause, meaning she crosses the distance 'x' in step 1. Now, provided that perhaps the distance by her to another fountain or waterfall just after the first stop is twice as far away she traveled. Because she moved the distance of 'x,' then, therefore, her distance towards the fountain of '2x.' She casually strolls and once again pauses 60 m beyond her stop. The gap about her to the waterfall during that time approximately twice the distance and her to the eastern end of the hallway.Assume her gap from either the east end of the platform seems to be 'y' at either the second stop, after which '2y' may become the distance between the 2nd pause and the waterfall.

Now,

⇒  [tex]2x + 2y = 60[/tex]

⇒  [tex]x + y = 30[/tex]

The total distance of the corridor will be:

=  [tex]x + 2x + 2y + y[/tex]

=  [tex]3\times (x + y)[/tex]

=  [tex]3\times 30[/tex]

=  [tex]90 \ m[/tex]

a driver travels 4.25 km in two minutes. if the driver's initial velocity is 20m/s, what is the acceleration

Answers

Recall the definition of average velocity:

average v = ∆x / ∆t

The driver moves a distance of ∆x = 4.25 km = 4250 m in 2 min = 120 s, so the average velocity is

average v = (4250 m) / (120 s) ≈ 35.4 m/s

Under constant acceleration, the average velocity can also be computed by taking the average of the initial and final velocities:

average v = (initial v + final v) / 2

Solve for (final v) :

35.4 m/s = (20 m/s + final v)/2

final v ≈ 50.83 m/s

Recall the definition of average acceleration:

average a = ∆v / ∆t

Solve for a :

a = (50.83 m/s - 20 m/s) / (120 s)

a ≈ 0.257 m/s²

1. Tectonic plates that move toward each other ...A Mantle
2. Layer with partially melted material that can flow easily _....B. Convergent
3. Tectonic plates that move away from each other C. Transform
4. Tectonic plates that slide past each other D. Divergent

Answers

Answer:

Its convergent

Explanation:

There areas where plates move toward each other and collide Also known as compressional pr destructive boundaries.

Newton
10. Your mass on Earth is 50kg. Planet Xenon has half the gravitational force of Earth. What
are your weight and mass on Planet Xenon?

Answers

Given parameters:

Mass on earth  = 50kg

Unknown:

Mass on planet Xenon = ?

Weight on planet Xenon = ?

Mass is the amount of matter contained in a particular substance.

Weight is the force on a body and it is derived from the product of mass and acceleration due to gravity.

         Weight  = mass x acceleration due to gravity

Planet Xenon has half the gravitational force of Earth.

 This translated gives [tex]\frac{9.8}{2}[/tex]   = 4.9m/s²

Now, mass is always the same every where if the amount of matter in a substance does not change.

In this problem, mass = 50kg on planet xenon.

Weight =  mass x acceleration due to gravity  = 50 x 4.9  = 245N

The weight on Xenon is 245N and the mass is 50kg

how far will a body move in 4sec if uniformly accelerated from rest at the rate of 2m/s2​

Answers

Answer:

32m

Explanation:

v=u+at

v=0+2×4

v=8m/s

d=vt

d=8×4

d=32m

What is magnetic poles always come in pair

Answers

Like poles repel and unlike poles attract. Magnetic poles always occur in pairs of north and south—it is not possible to isolate north and south poles.
because it just does my guy

Playing with a stress ball you squeeze it as
hard as you can. How does this affect the
density of the ball?

Answers

Answer:

it dies

Explanation:

MWUAHHAHAHHA

On a drive from your home to town, you
wish to average 60 mph. The distance from
your home to town is 78 miles. However,
at 39 miles (half way), you find you have
averaged only 45 mph.
What average speed must you maintain in
the remaining distance in order to have an
overall average speed of 60 mph?
Answer in units of mph.

Answers

On a drive from your home to town, you wish

to average 33.6 mph. The distance from your

home to town is 90 miles. However, at 45 miles

(half way), you find you have averaged only

25.2 mph.

What average speed must you maintain in

the remaining distance in order to have an

overall average speed of 33.6 mph?

Answer in units of mph

let the speed be x

total average = 33.6

Layer with partially melted material that can flow easily is

Answers

Answer:

the mantle.

Explanation:

The mantle is the mostly-solid bulk of Earth's interior. The mantle lies between Earth's dense, super-heated core and its thin outer layer, the crust. It's practically hot lava (Magma) Flowing and causing earthquakes and what not.

Hope this helps :)

Electrically neutral objects become___when they or lose electrons.

Answers

If they lose an electron, that means they become more positive since an electron is negatively charged. So the answer is ‘positive’

Answer: positively charged

Explanation: basically when a neutral atom gets some electrons it becomes negatively charged and when a neutral atom loses elections it's positively charged Ik science is weird lol.

I hope this was the answer you were looking for.

Temperature is a measure of

Answers

Answer:

The average kinetic energy

The amount of heat a substance has or the average kinetic energy of particles in a substance

A bowling ball of mass m = 1.7 kg drops from a height h = 14.2 m. A semi-circular tube of radius r = 6.2 m rest centered on a scale. Write an expression for the reading of the scale when the bowling ball is at its lowest point, in terms of the variables in the problem statement.

Answers

Answer:

W_net = mg + 2mgh/r

Explanation:

The forces applied in this motion of the bowling ball are both gravitational and centripetal forces.

Now, gravitational force is; F_g = mg

While centripetal force is; F_c = mv²/r

Since we want to express the net force in terms of the variables in the statement and we are not given "v", let's find an expression of v with the variables given.

Now, from Newton's equation of motion, at initial velocity of 0, v² = 2gh.

Thus;

F_c = 2mgh/r

Where;

m is ball mass

r is tube radius

h is fall height

Thus, the net force will be;

F_net = F_g + F_c

Now, Net force would be equal to the net weight that will be read on the scale.

Thus;

W_net = F_net = F_g + F_c

W_net = mg + 2mgh/r

At its lowest point, the net force of the bowling ball is equal to its net weight and this is given by [tex]F_{net} = mg + \frac{2mgh}{r}[/tex]

Given the following data:

Mass, m = 1.7 kg.Height, h = 14.2 meters.Radius, r = 6.2 meters.

To write an expression for the reading of the scale when the bowling ball is at its lowest point, in terms of the given variables:

The forces acting on the ball.

In this scenario, there are two (2) forces acting on the bowling ball and these include:

Centripetal forceGravitational force

Mathematically, centripetal force is given by this formula:

[tex]F_c = \frac{mv^2}{r}[/tex]     .....equation 1.

Mathematically, gravitational force is given by this formula:

[tex]F_g= mg[/tex]    ....equation 2.

Where:

m is the mass.g is the acceleration due to gravity.v is the velocity.

Next, we would derive an expression for the velocity of the ball by applying the Law of Conservation of energy:

[tex]P.E = K.E\\\\mgh = \frac{1}{2} mv^2\\\\V^2=2gh[/tex] .....equation 3.

Substituting eqn. 3 into eqn. 2, we have:

[tex]F_c = \frac{m(2gh)}{r}\\\\F_c = \frac{2mgh}{r}[/tex]

At its lowest point, the net weight of the bowling ball is equal to its net force and this is given by this mathematical expression:

[tex]W_{net} = F_{net} = F_g + F_c\\\\F_{net} = mg + \frac{2mgh}{r}[/tex]

Read more on net force here: https://brainly.com/question/14361879

What is the net force required to give an automobile with a mass of 2,100 kg an acceleration of 5.4 m/s^2?

Answers

Answer:

Net force = 11340 N

Explanation:

Given that,

Mass of an automobile, m = 2100 kg

Acceleration of the automobile, a = 5.4 m/s²

We need to find the net force required for the automobile. The net force is the product of mass and acceleration. It can be given by the formula as follows :

[tex]F=ma\\\\F=2100\ kg\times 5.4\ m/s^2\\\\F=11340\ N[/tex]

So, the net force is 11340 N.

A car goes 500m in 5 sec. It was moving 10 m/sec to begin with, what is
its final velocity?*

Answers

Answer:

v = 190 m/s

Explanation:

Given that,

Initial velocity of a car, u = 10 m/s

Distance, d = 500 m

Time, t = 5 s

We need to find the final velocity of the car. Firstly we can find the acceleration of the car using second equation of motion as follows :

[tex]d=ut+\dfrac{1}{2}at^2\\\\500=10\times 5+\dfrac{a}{2}\times 5^2\\\\500=50+\dfrac{25a}{2}\\\\450=\dfrac{25a}{2}\\\\a=\dfrac{450\times 2}{25}\\\\a=36\ m/s^2[/tex]

let v is the final velocity. using First equation of motion to find a as follows :

v=u+at

v=10+36(5)

v=190 m/s

So, the final velocity of the car is 190 m/s.

Based on what you learn about gravity describe why objects float in outer space

Answers

Answer:

Objects float in outer space because there is no gravitational force. The farther you get from earth, the less gravity.

Explanation:

Answer:

they float do to gravity

Explanation:

here if you tossed a ball in the air it would come back down fast in space however it would only float up and stay do to gravity

If a car moves at a velocity of 1.45 x102 m/s for 1.8 x103
seconds. How far does the car go?

Answers

Answer:

The answer is

[tex]2.61 \times {10}^{5} \: \: m[/tex]

Explanation:

The distance covered by an object given it's velocity and time taken can be found by using the formula

distance = velocity × time

From the question

velocity = 1.45 × 10² m/s

time = 1.8 × 10³ s

We have

distance = 1.45 × 10² × 1.8 × 10³

We have the final answer as

[tex]2.61 \times {10}^{5} \: \: m[/tex]

Hope this helps you

Velocity of an object in projectile motion always increase
True
False​

Answers

Answer:

I'm pretty sure it's false

Please help in 5 mintues
A piece of chess game called master
a. king
b. queen
c. rook
d. bishop

Answers

Not sure I think it’s King
Sorry if I’m wrong
King is the answer!!!

Why is it important for scientists to find better ways to store solar and wind energy?

Answers

Answer:

Energy storage plays an important role in this balancing act and helps to create a more flexible and reliable grid system. For example, when there is more supply than demand, such as during the night when low-cost power plants continue to operate, the excess electricity generation can be used to power storage devices.

Explanation:

I hope this helps you out and if your feeling generous plz mark brainliest it helps me a lot thank you:)

It important for scientists to find better ways to store solar and wind energy because solar and wind energy have variable outputs.

Lately, the world have begun to gradually gravitate away from non renewable energy sources such as fossil fuels and research efforts have been concentrated on renewable energy sources such as solar and wind energy.

However, the energy output from these sources are variable. Therefore, it is necessary to device ways to store energy from these sources in order to improve overall energy supply.

Learn more: https://brainly.com/question/17319210

Help pls it’s urgent

Answers

The result wave Will have a greater amplitude than both waves

______ is a disease in which the body does not produce or probory use inslin

Answers

Answer:

Diabetes

Explanation:

Insulin is an important hormone that helps the body convert sugar, starches, and other foods into energy.

How many atoms of each element are in 4Na3PO4?

A.) 3 sodium, 1 phosphorus, 4 oxygen
B.) 4 sodium, 4 phosphorus, 4 oxygen
C.) 12 sodium, 1 phosphorus, 4 oxygen
D.) 12 sodium, 4 phosphorus, 16 oxygen

Answers

D) 12 sodium, 4 phosphorus, 16 oxygen

sodium: 4Na3 -> 4 • 3 = 12

phosphorus: 4P - > 4

oxygen 4O4 -> 4 • 4 = 16

(the four is from the four in front of the whole formula)

Answer:

D) 12 sodium, 4 phosphorus. 16 oxygen

Explanation:

there is a four in front of the full formula, so you multiply all of the sub numbers by 4

3. When two things are the same temperature:

A. They have the same number of molecules

B. Their molecules stop moving

C. Their molecules move at the same average speed

D. Heat transfer between the two things stops​

Answers

The answer is definitely C.) their molecules move at the same average speed

Answer: D.  Heat transfer between the two things stops​.

1
A truck increases its speed from 15 m/s to 60 m/s in 15 s. Its acceleration is

Answers

Acceleration = (Vf - Vi)/t
Since Vf= 60m/s
Vi= 15m/s
T= 15s
=> a= (60m/s - 15m/s)/15s
= 3
So the acceleration is 3m/s^2

PLEASE HELP GIVING BRAINLIEST!!

Answers

Distance from one point of a wave to the other :)

Which table shows the correct role of each organism in the food chain below?
Algae → Shrimp → Artic Cod → Ringed Seals Polar Bears

Answers

Answer:

it is algae- shrimp- artic cod-ringed seals- polar bears

Explanation:

you had it right

When an object remains stationary, any forces acting on it must be balanced.

Choose 1 answer:

True
False

Answers

False because if it was even the force would just bounce off of the object


3 A stationary car accelerates uniformly
for 20 s. Its velocity reaches 80
km h-1. What is the acceleration of the
car during this period?-

A 1.11 ms-2
B 2.22 ms-2
C 4.00ms-2
D 22.2ms-2​

Answers

22.2ms-2 because it jsut is
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