you are driving at 18m/s down Lyndale​ avenue. A car backs out a driveway 25 meters in front of you. You continue at that speed while your brain processes the danger which takes 0.25 seconds. You then slam on the brakes and your car has an acceleration of -5.4m/s^2. Do you stop before reaching the driveway(and hitting the car)? Show your work. This is a two-part​ problem with constant speed and braking.

Answers

Answer 1

Hello!

For this, first let's calculate time of stop:

t = (V - Vi) / a

Replacing:

t = (0 m/s - 18 m/s) / -5,4 m/s^2

Resolving:

t = -18 m/s / -5,4 m/s^2

t = 3,33 s + 0,25 s = 3,58 s

Now lets calculate distance traveled, with formula:

d = Vi*t + (a*t^2)/2

Replacing:

d = 18 m/s * 3,58 s + (-5,4 m/s^2 * (3,58 s)^2) /2

Resolving:

d = 64,44 m + (-34,604 m)

d = 29,83 m

Then, the vehicle will CRASH


Related Questions



identical spheres are dropped from a height of 100 m above the surfaces of Planet X and Planet Y. The speed of the spheres as a function of time is recorded for each planet in the graph
above. Which planet exerts the greater force of gravity on the sphere, and what evidence supports this conclusion?
A Planet X because its line has the greater area under it.
Planet X, because its line has the greater slope
Planet Y. because it falls for the smaller amount of time
Planet Y because the object's final speed is greater

Answers

Answer:

B. Planet X, because its line has the greater slope.

Explanation:

In a speed graph, acceleration is slope. A greater slope means a greater acceleration. According to Newton's 2nd law (F=mg), a greater acceleration means a greater force.

Planet X exerts the greater force of gravity on the sphere, because its line has the greater slope. Hence option B is correct.

What is Gravitational Force ?

Gravitational force is force of attraction between two masses. Gravitational force(F) between two bodies is directly proportion to the product of masses(m₁,m₂) of two bodies and inversely proportional to square of distance(r) between them. mathematically it is written as,

F ∝ m₁.m₂

F ∝ 1/r²

F = G m₁,m₂÷r²

where G is gravitational constant, whose value is 6.6743 × 10⁻¹¹ m³ kg-1s⁻².

Force is expressed in Newton N in SI unit. its dimensions are [M¹L¹T⁻²].

This is analogous with coulomb's law which gives force between two charges.

if a planet has greater gravitational force(force of gravity), then body falls with greater speed as compare to other planet which is having less force of gravity. we can see in case of planet X there is greater speed as compare to plane Y in short time. Hence option B is correct.

To know more about Gravity :

https://brainly.com/question/31321801

#SPJ2.

a 9.0-kg dog runs at 4.0 m/s and jumps onto a stationary skateboard the mas of the skateboard is 1.0 m/s what speed is the speed of the skating dog?

Answers

Answer:

1.3

Explanation:

sbsbsbsnsnssnssssssiejejeneene

Why when i take "The FitnessGram Pacer Test is a multistage aerobic capacity test that progressively gets more difficult as it continues. The 20 meter pacer test will begin in 30 seconds. Line up at the start. The running speed starts slowly, but gets faster each minute after you hear this signal. A single lap should be completed each time you hear this sound. Remember to run in a straight line, and run as long as possible." i don't fall flat on my face?

Answers

Answer:

NOOOOOOO NOT THE PACER TEST!!

Explanation:

MEMORIES OF MIDDLE SCHOOL I'D LIKE TO FORGET

also. LOL "Remember to run in a straight line" BRUH WE KNOW XDXD

A person pushing a bin with 45 N of force slides the 3 kg plastic bin on a rough surface with friction. The plastic bin is moving with a constant velocity. What is the net force acting on the box?

Answers

Answer:

F = 0

Explanation:

Given that,

Force acting to push a bin = 45 N

Mass of the plastic bin, m = 3 kg

The plastic bin is moving with a constant velocity.

We need to find the net force acting on the box. Constant velocity means the change in velocity is equal to 0. It means acceleration will be 0.

As a result, the force acting on the box is equal to 0.

When 26400j of energy is supplied to a 2.0kg bloom of aluminum it temperature rise from 20oc to 35oc.The block is well so there is no energy lost to sorround determine the specific heat capacity of aluminum

Answers

Answer:

880J/kelvin

Explanation:

Q =MC ×change in t

c =C/m

C=Q/change in t

c= Q/ m× change in t

c = 26400 / 2.0 × 15

c = 880 J/kelvin

ASAP PLS HELP
What is chemical potential energy?

Answers

Answer:

chemical potential of a species is energy that can be absorbed or released due to a change of the particle number of the given species, e.g. in a chemical reaction or phase transition.

Explanation:

What is the force (in Newtons, 1 Newton = 1Kgm/s2) required to accelerate a 1500 Kg car to 3 m/s2?

Answers

Answer:

F=4500N

Explanation:

F=m×g

F=1500kg×3m/s²

F=4500N

Answer:

F=4500N

Explanation:

F=m×g

F=1500kg×3m/s²

F=4500N

a machine
of efficiency of 70% is used to raise
a body of
mass 80 kg through
a vertical distance of 3m in
40 seconds. Calculate the power input. (Take g = 10 m/s²)​

Answers

Answer:

Power_input = 85.71 [W]

Explanation:

To be able to solve this problem we must first find the work done. Work is defined as the product of force by distance.

 [tex]W =F*d[/tex]

where:

W = work [J] (units of Joules)

F = force [N] (units of Newton)

d = distance [m]

We need to bear in mind that the force can be calculated by multiplying the mass by the gravity acceleration.

Now replacing:

 [tex]W=m*g*d[/tex]

[tex]W=80*10*3\\W=2400[J][/tex]

Power is defined as the work done over a certain time. In this way by means of the following formula, we can calculate the required power.

 [tex]P=W/t[/tex]

where:

P = power [W] (units of watts)

W = work [J]

t = time = 40 [s]

[tex]P=W/t\\P=2400/40\\P=60 [W][/tex]

The calculated power is the required power. Now as we have the efficiency of the machine, we can calculate the power that is introduced, to be able to do that work.

 [tex]Effic=0.7\\Effic=P_{required}/P_{introduced}\\P_{introduced}= 60/0.7\\P_{introduced}=85.71[W][/tex]

A squirrel jumps into the air with a velocity of 4 m/s at an angle of 50%. What is the maximum height reached by the squirrel?

Answers

The maximum height reached by the squirrel : 0.479 m

Further explanation

Given

vo= 4 m/s

θ = 50 °

Required

The maximum height

Solution

Parabolic motion :

[tex]\tt h_{max}=\dfrac{v_o^2sin^2\theta}{2.g}[/tex]

Input the value

[tex]\tt h_{max}=\dfrac{4^2\times (sin~50)^2}{2\times 9.8}\\\\h_{max}=0.479~m[/tex]

or you can use

Find t from vt= vo sin θ - gt(negative sign=against gravity)⇒vt=0 at peak(the maximum height)

and input t to vertical component : y=voy.t-1/2gt²

Katniss everdeen applies 20 n of force back on her bow what happens to the arrow when she lets go?

Answers

The bow is going to drop

The agonist in a movement is the muscle that provides the major force to complete the movement

(A)True
(B)False

Answers

I believe it’s True

Can cause a stationary object to start moving or moving object to change its speed or direction or both

Answers

Answer:

Force

Explanation:

Only a force can cause a stationary object to move or a moving object to change its speed or direction.

which is NOT true of the Big Bang Theory?
1. it explains what’s happening in the universe now
2. it explains what caused the big bang.
3. it explains what the universe was like in the beginning
4. it stages that the universe is expanding

Answers

Answer:

1. it explains what's happening im the universe now

Need help ASAP plz and thank you!!

Answers

Answer: Possibly b

Explanation:

A ball weighing 60 N is swinging like a pendulum at the end of a 6.0 m rope. As the ball swings through its lowest point, its speed is measured at 5.0 m/s. What is the tension in the rope at this point?
A. 58.6 N
B. 85.4 N
C. 90.2 N
D. 97.3 N

Answers

Answer:

85.4 N

Explanation:

Weight of the ball, W = 60 N

W = mg, m is mass

m = W/g

m = 60/9.8 = 6.12 kg

Length of a rope, r = 6 m

Speed, v = 5 m/s

We need to find the tension in the rope at this point. Tension is equal to the centripetal force It is given by :

[tex]F=\dfrac{mv^2}{r}+mg\\\\F=\dfrac{6.12\times (5)^2}{6}+60\\\\=85.5\ N[/tex]

So, the correct option is (b) " 85.4 N".

what type of plate boundary decreases the amount of the Earth's crust?

Answers

Answer:

Convergent.

Explanation:

Just as oceanic crust is formed at mid-ocean ridges, it is destroyed in subduction zones. Subduction is the important geologic process in which a tectonic plate made of dense lithospheric material melts or falls below a plate made of less-dense lithosphere at a convergent plate boundary.

A runner starts from rest and accelerates at a rate of 1.5 m/s2 and covers 375 m. How long did it take the runner to cover this distance?

Answers

Answer:

it takes him 22.36 seconds to cover that distance

Explanation:

We can solve this problem using the kinematic equation for uniformly accelerated motion:

[tex]x_f-x_i=v_0*t\,+\,\frac{1}{2} a\,*\,t^2[/tex]

which replacing the values given for our case becomes:

[tex]375=0*t\,+\,\frac{1}{2} (1.5)\,t^2\\375=\frac{1}{2} (1.5)\,t^2[/tex]

and which solving for t gives:

[tex]375=\frac{1}{2} (1.5)\,t^2\\t^2=2*375/1.5\\t^2=500\\t=\sqrt{500} \\t \approx 22.36\,\,sec[/tex]

The wave produced by a piano's middle C has a frequency of 440 Hz
and a wavespeed of 344 m/s. What is its wavelength?

Answers

Answer:

0.78 m

Explanation:

I just did a hw question for this its just 344  divided by 440

Evidence supporting the theory of continental drift includes:
a.
b.
c.
d .​

Answers

Answer:

The apparent fit of the eastern coastline of South America and western coastline of Africa

Similarities of plants and animal fossils in South America and some parts of African continent which were separated by a vast ocean

Similarities in the sequence of rock layers of opposite sides of the Atlantic Ocean

Objects in free fall are weightless.


Please select the best answer from the choices provided

T
F

Answers

Answer:

[tex]\boxed{True}[/tex]

Explanation:

Objects are weightless in free fall because their is no other force pushing them rather than the gravitational force.

Hope it helps!<3

Answer:

It's ture hope this answer help have a great day .!

Explanation:

A box of weighing 60N is placed on the ground. The bottom of the box measures 2m by 1m. What is the pressure on the ground? *

Answers

Answer:

pressure=force/area

p=60N/(2m×1m)

=35N/M

Consider a star that is a sphere with a radius of 6.32 108 m and an average surface temperature of 5350 K. Determine the amount by which the star's thermal radiation increases the entropy of the entire universe each second. Assume that the star is a perfect blackbody, and that the average temperature of the rest of the universe is 2.73 K. Do not consider the thermal radiation absorbed by the star from the rest of the universe. J/K

Answers

Answer:

The value is  [tex]\Delta s = 8.537 *10^{25 } \ J/K[/tex]

Explanation:

From the we are told that

   The radius of the sphere is [tex]r = 6.32 *10^{8} \ m[/tex]

   The temperature is [tex]T_x = 5350 \ K[/tex]

    The average temperature of the rest of the universe is  [tex]T_r = 2.73 \ K[/tex]

Generally the change in entropy of the entire universe per second is mathematically represented as

         [tex]\Delta s = s_r - s_x[/tex]

Here [tex]s_r[/tex] is the entropy of the rest of the universe which is mathematically represented as

          [tex]s_r = \frac{Q}{T_r}[/tex]

Here Q is the quantity of heat radiated by the star which is mathematically represented as

           [tex]Q = 4 \pi * r^2 * \sigma * T^4_x[/tex]

Here [tex]\sigma[/tex] is the Stefan-Boltzmann constant with value  

           [tex]\sigma = 5.67 * 10^{-8 }W\cdot m^{-2} \cdot K^{-4}.[/tex]

=>         [tex]Q = 4 \pi * (6.32*10^{8})^2 * 5.67 * 10^{-8 } * 5350 ^4[/tex]

=>         [tex]Q = 2.332 *10^{26} \ J[/tex]

So

      [tex]s_r = \frac{2.332 *10^{26}}{2.73}[/tex]

=>   [tex]s_r = 8.5415 *10^{25}\ J/K[/tex]

Here [tex]s_x[/tex] is the entropy of the rest of the universe which is mathematically represented as

      [tex]s_x = \frac{Q}{T_x}[/tex]

=>   [tex]s_x = \frac{2.332 *10^{26} }{5350}[/tex]

=>   [tex]s_x = 4.359 *10^{22} \ J/K[/tex]

So

      [tex]\Delta s = 8.5415 *10^{25} - 4.359 *10^{22}[/tex]

=>   [tex]\Delta s = 8.537 *10^{25 } \ J/K[/tex]

This question involves the concepts of entropy and the thermal radiation

The entropy of the entire universe is increased by "8.41 x 10²⁵ J/k

".

The increase in entropy is given as follows:

[tex]\Delta s = s-s_T[/tex]

where,

Δs = increase in entropy = ?

σ = Stefan-Boltzman's constant = 5.67 x 10⁻⁸ W/m².k⁴

A = surface area = 4πr² = 4π(6.32 x 10⁸ m)² = 5.01 x 10¹⁸ m²

Tr = Absolute temperature of the star = 5350 K

T = absolute temperature of the rest of the universe = 2.73 k

Q = thermal radiation energy

Q = [tex]\sigma A T_r^4=(5.67\ x\ ^{-8}\ W/m^2.k^4)(5.01\ x\ ^{18}\ m^2)(5350\ k)^4=2.3\ x\ 10^{26}\ J[/tex]

s = entropy of the universe = [tex]\frac{Q}{T}=\frac{2.3\ x\ 10^{26}\ J}{2.73 k}=8.42\ x\ 10^{25}\ J/k[/tex]

[tex]s_T[/tex] = entropy of the star = [tex]\frac{Q}{T_r}=\frac{2.3\ x\ 10^{26}\ J}{5350\ k}=4.3\ x\ 10^{22}\ J/k[/tex]

Therefore,

Δs = 8.42 x 10²⁵ J/k - 4.3 x 10²² J/k

Δs = 8.41 x 10²⁵ J/k

Learn more about entropy here:

https://brainly.com/question/13146879?referrer=searchResults

A ball weighing 60 N is swinging like a pendulum at the end of a 6.0 m rope. As the ball swings through its lowest point, its speed is measured at 5.0 m/s. What is the tension in the rope at this point?
A. 58.6 N
B. 85.4 N
C. 90.2 N
D. 97.3 N

Answers

Answer:

B. 85.4 N

Explanation:

The tension in the rope at the lowest point of the motion of the ball is antiparallel to the weight of the ball. By Newton's laws we construct the following equation of equilibrium:

[tex]\Sigma F = T - W = \left(\frac{W}{g} \right)\cdot \frac{v^{2}}{L}[/tex] (1)

Where:

[tex]T[/tex] - Tension in the rope, measured in newtons.

[tex]W[/tex] - Weight, measured in newtons.

[tex]g[/tex] - Gravitational acceleration, measured in meters per square second.

[tex]v[/tex] - Speed of the ball, measured in meters per second.

[tex]L[/tex] - Length of the rope, measured in meters.

If we know that [tex]W = 60\,N[/tex], [tex]g = 9.807\,\frac{m}{s^{2}}[/tex], [tex]v = 5\,\frac{m}{s}[/tex] and [tex]L = 6\,m[/tex], then the tension in the rope at this point is:

[tex]T = W+\frac{W\cdot v^{2}}{g\cdot L}[/tex]

[tex]T = W\cdot \left(1+\frac{v^{2}}{g\cdot L} \right)[/tex]

[tex]T = (60\,N)\cdot \left[1+\frac{\left(5\,\frac{m}{s} \right)^{2}}{\left(9.807\,\frac{m}{s^{2}} \right)\cdot (6\,m)} \right][/tex]

[tex]T = 85.492\,N[/tex]

Hence, the correct answer is B.

If the body is at rest while I am pushing it with a force of 20 Newtons and the force of static friction is 20 Newtons, will it move or should I push with a force greater than 20​

Answers

Answer:

It will not move, so you should push with a force greater than 20 N.

Explanation:

Static friction is a force that keeps a body at rest. This means static friction will be the force that keeps the body from moving when there is no push or pull hence you should overcome it with enough opposing force for the body to move.

In this case for the body to move , you should push with a force greater than 20 N for it to move.

What is the mechanical advantage of the inclined plane below?
a) 2.6
b) 0.8
c) 2.4
d) 0.6​

Answers

Answer;

2.6

Explanation;

Formular for mechanical advantage is length of the slope divided by the height of the inclined plane.[tex]1.85 \div 0.72 = 2.56[/tex]Approximately 2.6

mester Exam 1 11 of 35
A car has an oil drip. As the car moves, it drips oil at a regular rate, leaving a trail of spots on the road. Which diagram shows the spots
of car that is continuously slowing down?

Answers

please show picture of diagrams

What is meant by the statement,the linear expansivity of copper is 0.000017k

Answers

Answer:

The change in length per unit length per degree rise in temperature of copper is 0.000017k

Explanation:

Given that :

The linear expansivity of copper is 0.000017k. This simply means that ; for a given copper length, the length of such copper will increase by 0.000017k for every degree rose in temperature of the copper rod.

Therefore, the change in length per unit length per degree rise in temperature (k) is 0.000017

As a block of mass 42 kilograms drops from the edge of a 40-meter-high cliff it experiences a loss of energy due to air resistance of 81 J. At what speed will the rock hit the ground?

Answers

Answer:

The block hits the ground at 27.9 m/s

Explanation:

Gravitational Potential Energy (GPE)

It's the energy stored in an object because of its height in a gravitational field.

It can be calculated with the equation:

U=m.g.h

Where m is the mass of the object, h is the height with respect to a fixed reference, and g is the acceleration of gravity or [tex]9.8 m/s^2[/tex].

When the block is at the edge of the cliff it has potential energy that can be transformed into any other type of energy as it starts falling to the ground.

The GPE of the block of mass m=42 Kg at h=40 m is:

U = 42*9.8*40

U = 16,464 J

The block loses 81 J due to air resistance, thus the energy stored when it hits the ground is 16,464 J - 81 J = 16,383 J.

This energy is stored as kinetic energy, whose formula is:

[tex]\displaystyle K=\frac{1}{2}mv^2[/tex]

Solving for v:

[tex]\displaystyle v=\sqrt{\frac{2K}{m}}[/tex]

[tex]\displaystyle v=\sqrt{\frac{2*16,383 }{42}}[/tex]

[tex]v=\sqrt{780.143}[/tex]

v = 27.9 m/s

The block hits the ground at 27.9 m/s

Helppppp meeee plssss ASAP
Suppose the atoms of two different nonmetal elements bonded. What type of
substance would most likely form?
A. A metalloid
B. An ionic compound
C. A covalent compound
D. A third element

Answers

Answer:

C

Explanation:

covalent. Hope that helps!

g During the contraction of the heart, 65 cm3 blood is ejected from the left ventricle into the aorta with a velocity of approximately 98 cm/s. The blood volume traverses the aortic arch, exiting with the same speed but opposite direction. Assume the mass density of the blood is 1060 kg/m3 blood, the aortic arch remains stationary, and that the heart rate is 61 bpm. What is the average force exerted by the blood on the wall of the aorta.

Answers

Answer:

The force is [tex]F = 0.1441 \ N[/tex]

Explanation:

From the question we are told that

   The volume of blood ejected is  [tex]V_b = 65cm^3 = 65*10^{-6} \ m^3[/tex]

    The velocity of the ejected blood is  [tex]v = 98 cm/ s = 0.98 \ m/s[/tex]

    The mass density of blood is  [tex]\rho = 1060 \ kg/m^3[/tex]

    The heart rate is  [tex]R = 61 bpm(beats \ per \ miunite) = \frac{61}{60} = 1.0667\ bps[/tex]

Generally the average force exerted is mathematically represented as

     [tex]F = 2 * \rho * V_b * R * v[/tex]

=>   [tex]F = 2 * 1060 * (65*10^{-6}) *1.0667 * 0.98[/tex]

=>   [tex]F = 0.1441 \ N[/tex]    

Other Questions
Given that triangle RST is isosceles, find the value of ZS Use the attached "Story Guidelines" Handout to write an imaginative story about aperson with a heightened sense! Your story should be at least three well-developedparagraphs long. Have fun with it and be creative...be humorous!IMPORTANT: Use the copy of the STEMScopedia for this unit to incorporate all of theterms related to your character's heightened sense. For example, choose a specifictype of receptor (chemoreceptor, thermoreceptor, mechanoreceptor, photoreceptor,nocicepter or propiorecepter), and then include the terms and parts of the bodyrelated to those receptors. Weave it into an episode in the life of your character. Neurons that analyze visual input and respond to specific things are called which transformation is happening in the image below A nuclear power plant produces huge amount of electricity. However, it dumps radioactive wastes into the sea. This has led to an increase in illness among people living along the coast. Which of these is the best method to solve this problem?Question 1 options:Convert the nuclear power plant into a hydroelectric power plant which does not produce wastes.Shift the nuclear power plant to locations far away from the sea.Increase public awareness to close the nuclear power plant.Provide the nuclear power plant with a plan to properly dispose of and recycle the wastes. Can someone please help me :( why hacking into the energy department is disturbing? which of the following is a type of advertisting? A. Creating commercials for televison What subject pronouns would you use to talk about...(1 point per question)1. yourself?2. your parents?3. your brother?4. your aunts?5. your boy cousins?6. your grandfather?7. your sisters?8. your uncle?9. your grandmothers?Must be either usted or ustedes Bramble Corp. purchased a truck at the beginning of 2020 for $109000. The truck is estimated to have a salvage value of $3700 and a useful life of 121000 miles. It was driven 21000 miles in 2020 and 29000 miles in 2021. What is the depreciation expense for 2021 A weightlifter is using a weightlifting bar that weighs 45 pounds. If x represents the amount of weight that the weightlifter puts on the bar and y represents the total amount that the weightlifter lifts, with the weight of the bar included, which of these functions models this situation Find the value of [tex] log_{8}^{512} [/tex] A partnership between two companies calls for company A to get a flat fee of $25,000 from Company B each month, plus 15% of all sales for the jointly developed product sold by company B. If Company B sells a total of $1,200,000 of the jointly developed product in the first twelve months, what will be the total amount owed Company A by Company B? What some things that a nation needs to include in the government simplify the square root of 625 Competition time! How do you make a Peanut butter and jelly sandwich? Whoever gives the best answer gets brainiest and a thx and 5 stars.Second place gets 4 stars and a thx! 38.3 cm0 12.6 cm R Which statement is not always true? 1) The sum of two rational numbers is rational.2) The product of two irrational numbers is rational.3) The sum of a rational number and an irrational number is irrational.4) The product of a nonzero rational number and an irrational number is irrational. I bought apples and bananas at the store in a ratio of 3 apples to 4 bananas. If I bought 35 pieces of fruit. How many apples and bananas did I buy. what do you mean by the subjects of national Pride right in a sentence