can someone explain it with steps?

A car was moving on a road at a constant speed of 15 m/s when suddenly the car driver saw some animal on the road at a distance of 21 m from the car, so he applied the brakes after a response time of 0.4 s and stopped before hitting the animal by 1 m. What was the deceleration of the car?

a-7.5 m/s^2

b-5.2 m/s^2

c-8.0 m/s^2

d-5.6 m/s^2​

Answers

Answer 1

Answer:

Option C is the correct answer

Explanation:

Distance travelled by car during reaction time

[tex]=15\times0.4\\\\=6m[/tex]

The car stopped before hitting the animal by [tex]1 m[/tex]

Distance travelled during deceleration is [tex]21-6-1=14m[/tex]

Hence by [tex]v^2=u^2+2as[/tex]

We have

[tex]0^2=15^2+2 \cdot a \cdot 14\\\\a=\frac{-225}{28} \\\\=-8.03m/s^2[/tex]

Option C is the correct answer

Answer 2
Initial velocity=15m/s=uFinal velocity=0deacceleration=a

Distance traveled during reaction time

15(0.4)=6m

Total distance

21-6-1=14m

[tex]\\ \sf\longmapsto v^2-u^2=2as[/tex]

[tex]\\ \sf\longmapsto -(15)^2=2(14)a[/tex]

[tex]\\ \sf\longmapsto -225=28a[/tex]

[tex]\\ \sf\longmapsto a=-8.0m/s^2[/tex]


Related Questions

Which form can solutions come in?

liquid

gas

solid

all of the above

Answers

Answer:

liquid

Explanation:

leave a thanks if helped  !

A 16.0 kg canoe moving to the left at 12.5 m/s makes an elastic head on collision with a 14.0 kg raft moving to the right at 16.0 m/s after the collision the raft moves to the left at 14.4 m/s assuming water simulates a frictionless surface, what is the final velocity of the canoe?

Answers

A 16.0 kg canoe moving to the left at 12.5 m/s makes an elastic head on collision with a 14.0 kg raft moving to the right at 16.0 m/s. After the collision the raft moves to the left at 14.4 m/s assuming water simulates a frictionless surface. Mass of the canoe (m1) = 16 KgMass of the raft (m2) = 14 KgInitial velocity of the canoe (u1) = 12.5 m/sInitial velocity of the raft (u1) = - 16 m/s [Here, the raft's velocity is negative, because the objects are moving in the opposite direction]Total momentum of the system = m1u1 + m2u2 = [(16 × 12.5) + (14 × -16)] Kg m/s = (200 - 224) Kg m/s = -24 Kg m/sFinal velocity of the raft (v2) = 14.4 m/sLet the final velocity of the canoe be v1.Total momentum of the system after the impact = m1v1 + m2v2 = [(16 × v1) + (14 × 14.4)] Kg m/s = 16v1 Kg + 201.6 Kg m/sAccording to the law of conservation of momentum, Total momentum of the system before the impact = Total momentum of the system after the impactor, -24 Kg m/s = 16v1 Kg + 201.6 Kg m/sor, -24 Kg m/s - 201.6 Kg m/s = 16v1 Kgor, -225.6 Kg m/s = 16v1 Kgor, v1 = -225.6 Kg m/s ÷ 16 Kgor, v1 = -14.1 m/s

Answer:

The final velocity of the canoe is -14.1 m/s or 14.1 m/s to the right.

Hope you could get an idea from here.

Doubt clarification - use comment section.

which technique of extrasolar planet detection can tell us about the orbital period of a planet?

Answers

astrometric, Doppler, and transits) tell us the orbital period of detected planets. You

what is the meaning of " hi baby girl "

Answers

Explanation:

it's mean hI small little cute baby girl ...

Identify the class of lever whch is not used for lifting heavy loads but as used for making work faster. Explain your answer. ​

Answers

Answer:

3 class lever .

Explanation:

Third class lever: In the third class lever, the effort is located in between fulcrum and load. Here, effort arm is shorter than the load arm. It cannot lift the heavy load but increases the speed of doing work. ............. can you me as brainlist pls

Cart 1 has a mass of 1 kg. Cart 2 has a mass of 2 kg. They are pushed apart by a spring. The spring exerts 2N of force into cart 1. How much force is exerted into cart 2? Explain.

Answers

The force exerted on the cart 2 during the collision is 2 N.

The given parameters:

Mass of cart 1 = m1 = 1 kgMass of cart 2 = m2 = 2kgForce applied on cart 1 = 2 N

According to Newton's third law of motion, action and reaction are equal and opposite. The force exerted on cart 1 is equal in magnitude to the force exerted on cart 2 but in opposite direction.

[tex]F_1 = -F_2[/tex]

[tex]F_2 = -F_1\\\\F_2 = -2 \ N\\\\|F_2| = 2 \ N[/tex]

Thus, the force exerted on the cart 2 during the collision is 2 N.

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the only two forces acting on a body have magnitudes of 20 n and 35 n and directions that differ by 80. the resulting acceleration has a magnitude of 20 m/s2. what is the mass of the body?

Answers

Answer:

the mass of the body is 2.75 kg

What effect do shiny metals have on radiant energy?

Answers

Answer:

Metals conduct heat and reduce the kinetic energy within the components that need to remain cool

haun wants to enter the science fair at his school. he has a list of ideas for his project. which questions could be answered through scientific investigations. check all that apply

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Correct Answer:

- Does pressure have an effect on the volume of a gas?

- Which brand of soap is the best for cleaning grease off dishes?

how long does it take a man to travel 6 km if his speed is 3km/h?

Answers

why did my answer get deleted??

oh yeah i put a link on there- oopsies.

I wont this time!

I got 30!

7 point
The heat energy from convection currents in magma also drives the rock
cycle. Convection and movement of the plates causes rock to move
between Earth's surface and interior. It provides the heat that changes
rocks inside Earth to form metamorphic rocks. Igneous rocks form when
magma cools and solidifies. The older rocks that are broken down and
converted to sedimentary rocks might come from igneous and
metamorphic rocks or even older sedimentary rocks. TRUE or FALSE: The
rock cycle is directly related to convection currents.
True
False

Answers

I think that the answer would be True

What happens to a liquid in a U-tube manometer when placed in a vacuum

Answers

Answer:

With a greater pressure applied to the left side of a U-tube manometer, the liquid lowers in the left leg and rises in the right leg. The liquid moves until the unit weight of the liquid, as indicated by h, exactly balances the pressure.

Answer:

Here

Explanation:

With a greater pressure applied to the left side of a U-tube manometer, the liquid lowers in the left leg and rises in the right leg. The liquid moves until the unit weight of the liquid

Given that the mass of a liquid is 0.01kg and the volume of the liquid is 0.05m^3 . Calculate the density of the liquid

A) 2kg/m^3

B)0.2kg/m^3

C) 5kg/m^3

D) 0.5kg/m^3​

Answers

Answer:

B.

Explanation:

Density = mass / volume

= 0.01/0.05

= 0.2 kg/m^3.

given how the quantity work—which has units of energy—was defined, another unit for energy, equivalent to the joule (j), is

Answers

Answer:

I think you ask for another way of writing the joule (J). It can be expressed as the product between a force applied to a body and the deployment of the body (not necessarily caused by that force applied), so N*m (newton * meter).

The quantity work—which has units of energy—was defined, another unit for energy, equivalent to the joule (j), is Newton ·meter (N· m).

What is unit of physical quantities?

The quantity with a constant magnitude that is used to measure the magnitudes of other quantities of the same type is referred to as a unit in physics.

A unit shouldn't alter as time or environmental factors like pressure and temperature change.It ought to be precisely defined.It need to be readily available and repeatable.

Unit of work is that of energy, that is, Joule (J).

Again, work = force × displacement

Unit of work = Unit of force × Unit of displacement = Newton . meter (N.m).

Hence, the quantity work—which has units of energy—was defined, another unit for energy, equivalent to the joule (j), is Newton ·meter (N· m).

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2. The _____ investigate crimes anywhere in the state.

Answers

Answer:

State Police

the police organized and maintained by a state as distinguished from those of a lower subdivision (such as a city or county) of the state government.

State police. Because they have state in there name. Like a county sheriff can only arrest people in there county.

10 time 20 minus 5 and yeah that’s all i need

Answers

Answer:

[tex]10 \times 20 - 5 \\ \\ = 200 - 5 \\ = 195[/tex]

As best you can, describe how we can tell the age of the Earth and rocks found on it.

Answers

Answer:

We can determine the age of the Earth and the rocks found on Earth with techniques such as measuring ice cores and digging and analysing fossils.

Explanation:

Hopefully this helped!

If the density of gold is 19.3 g/mL, what is the mass of 5mL of gold?​

Answers

Answer:

96.5 mL

Explanation:

define one kilogram mass ​

Answers

Answer:

kg - one thousand grams; the basic unit of mass adopted under the Systeme International d'Unites; "a kilogram is approximately 2.2 pounds"

Explanation:

Where is iron made?

need help

Answers

Answer:
Nature- Iron is found in the earths crust.
Other- Iron can be found made in China, Australia, Brazil, India, Russia and many more.
Hope this helps!

Answer:

Explanation:

Do you mean "made" as in the element itself, or "made" as it is extracted from the Earth and refined.

====

The elements originate in the stars.  The fusion reactions in Earth's sun fuse hydrogen and helium atoms to make elements, up to iron.  Larger stars and powerful explosions such as supernova create the larger elements.  Humans, with the use of particle accelerators make even larger elements, nearly all of which are unstable and decay rapidly into smaller elements.  But their creation does offer the perk of naming rights if you can prove it was created, and don't pick a clearly untenable name.

The Fe in stardust from the sun collects in clumps via gravitational forces and, via meteorites, is carried to Earth.  This is the major source for pure iron on the Earth.

Iron has chemical properties that lead to it reacting with other substances (e.g., oxygen) and then becoming concentrated in deposits as a variety of salts  in the Earth's crust, as a result of natural processes.  These deposits are mined and the rock is heated to separate and purify the iron metal.

do forces that act a distance come in pairs?

Answers

Answer:

Forces come in pairs.

Explanation:

Distances are between two points. The distance from A to B is equal but opposite the distance from B to A.

can someone explain it please ?​

Answers

Answer:

The value of [tex]\theta=63.43^0[/tex]

Explanation:

Range of projectile [tex]\mathrm{R}=\frac{\mathrm{u}^{2} \cdot \sin 2 \theta}{\mathrm{g}}[/tex]

Height of projectile [tex]\mathrm{h}=\frac{\mathrm{u}^{2} \cdot \sin ^{2} \theta}{2 \cdot \mathrm{g}}[/tex]

Here we have

[tex]R=2h\\\\\frac{\mathrm{u}^{2} \cdot \sin 2 \theta}{\mathrm{g}}=2\frac{\mathrm{u}^{2} \cdot \sin ^{2} \theta}{2 \cdot \mathrm{g}}\\\\\sin 2 \theta=\sin ^{2} \theta\\\\2\sin \theta\cos \theta=\sin ^{2} \theta\\\\\tan \theta=2\\\\\theta=63.43^0[/tex]

Range be R and height be h

[tex]\boxed{\sf R=\dfrac{u^2sin2\theta}{g}}[/tex]

[tex]\boxed{\sf h=\dfrac{u^2sin^2\theta}{2g}}[/tex]

u=initial velocitytheta is angle of projection.g=acceleration due to gravity

ATQ

[tex]\\ \sf\longmapsto R=2h[/tex]

[tex]\\ \sf\longmapsto \dfrac{u^2sin2\theta}{g}=\dfrac{2u^2sin^2\theta}{2g}[/tex]

Cancelling required ones

[tex]\\ \sf\longmapsto sin^2\theta=sin2\theta[/tex]

sin2O=2sinOcosO

[tex]\\ \sf\longmapsto sin^2\theta=2sin\theta cos\theta [/tex]

[tex]\\ \sf\longmapsto \dfrac{sin^2\theta}{sin\theta cos\theta=2[/tex]

[tex]\\ \sf\longmapsto \dfrac{sin\theta}{cos\theta}=2[/tex]

[tex]\\ \sf\longmapsto tan\theta=2[/tex]

[tex]\\ \sf\longmapsto \theta=tan^{-1}(2)[/tex]

[tex]\\ \sf\longmapsto \theta=63.4°[/tex]

15. Find the density of a certain object that has the dimensions 2cm x 6cm x 7cm and a
mass of 42g.
16. What is the volume of a container of liquid that has a density of 120g/ml and a mass
of 17g.
17. If the mass of an object has a mass of 23g and a volume 123ml, what is its density.
“Express your answer in Kg/ml!"
18. What is the volume of a cubed object with a measure of 12cm on one of its sides, if
the mass of that same object is 45g and its density is 240g/cm3?
19. An object with a density of 3g/ml is placed into a body of water. Since the density of
water is 1g/ml, will this object sink or float.

Answers

This question is asking for five different questions about density, mass and volume which can be all summarized with the following definition of density as the degree of compactness of the objects taken into consideration:

[tex]\rho =\frac{m}{V}[/tex]

In such a way, we can proceed as follows:

15. the mass is given as 42 g and the volume can be found by multiplying the given dimensions:

[tex]V=2cm*6cm*7cm=84 cm^3[/tex]

And the density turns out to be:

[tex]\rho =\frac{42g}{84cm^3}=0.5 g/cm^3[/tex]

16. both mass and density are given as 17 g and 120 g/mL respectively, so that we have to solve for the volume as shown below:

[tex]V=\frac{m}{\rho} =\frac{17g}{120g/mL} =0.14 mL[/tex]

17. the mass is given as 23 g and the volume as 123 mL, so that the density is calculated as shown below:

[tex]\rho=\frac{23g}{123 mL} =0.19 g/mL[/tex]

Which can be converted to kg/mL as follows:

[tex]0.19\frac{g}{mL} *\frac{1kg}{1000g}=0.00019 kg/mL[/tex]

18. the mass is given as 45 g and the density as 240 g/cm³, so we can solve for the volume as follows:

[tex]V=\frac{m}{\rho} =\frac{45g}{240g/cm^3}=0.19 cm^3[/tex]

19. In this case, since the water has lower density than the object, we can infer that the latter is heavier than the former, this means that the object will sink according to the Archimedes principle.

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Which substances are inorganic? Check all that apply.

C6H12O6
K2CO3
C4H10
C27H46O
Fe3O4

Answers

The major characteristic an organic compound has which an inorganic

compound doesn't  have is the presence of carbon atoms in the molecule.

This helps us to differentiate the compounds into their respective divisions.

Inorganic compounds

K2CO3Fe3O4

Organic compounds

C6H12O6C4H10C27H46O

We can observe that inorganic compounds lack carbon atoms which makes

the answer valid.

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Answer:

B and E because yk thats the asnwer

what is the wavelength of a sound wave that travels at 340m/s and has a frequency of 710Hz

Answers

Answer:

0.479 m

Explanation:

v = fl

340 = 710l

l = 0.479 m

how to calculate velocity with acceleration and time

Answers

Answer:

Multiply the acceleration by time to obtain the velocity change:

Example:

Velocity change = 6.95 * 4 = 27.8 m/s . Since the initial velocity was zero, the final velocity is equal to the change of speed. You can convert units to km/h by multiplying the result by 3.6: 27.8 * 3.6 ≈ 100 km/h

describe how visible light is used with solar photovoltaic panels to produce electricity

Answers

Solar panels convert the sun's light into usable solar energy using N-type and P-type semiconductor material. When sunlight is absorbed by these materials, the solar energy knocks electrons loose from their atoms, allowing the electrons to flow through the material to produce electricity.

Photovoltaic panels are used to produce alternating current using sunlight. It uses solar cells which are photoactive and produce a photoelectric effect and thereby a potential is created.

What is photoelectric effect?

When photons from the light energy is hit on a metallic surface the photon collides with the electrons of the metals and electrons are ejected from the metal surface. This phenomenon is called photoelectric effect.

In a solar photovoltaic panel, photovoltaic cells layers of semi-conducting materials, such as silicon, are sandwiched photovoltaic cells. When photons from sunshine strike each layer, its unique electronic properties energise and produce an electric field.

The current required to generate electricity is produced through what is known as the photoelectric effect. Electricity produced by solar panels is in the direct current form. This is then transformed into an alternating current by passing via an inverter.

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what's the difference between a lunar eclipse and a solar eclipse?

Answers

Answer:

passes

Explanation:

Traditionally, eclipses are divided into two major types: solar and lunar. Solar eclipses occur when the Moon passes between Earth and the Sun, leaving a moving region of shadow on Earth's surface. Lunar eclipses occur when Earth passes between the Sun and the Moon, casting a shadow on the Moon.

The ratio between the force of friction and the normal force is called:

A.the drag
B.rolling friction
C.the coefficient of friction
D.the starting friction

Answers

Answer:

C.the coefficient of friction

Explanation:

Hope this helps. can i have brainliest thanks!

how is the physical property of density calculated?

Answers

Answer:

The formula for density is d=M/V

Explanation:

where d is density, M id mass, V is volume.

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