The 2020 Ford police interceptor has a max acceleration of 4.4 m/s2. If a policeperson is sitting on
the roadside when a speeding car passes them at 70 mph (31.3 m/s), and the policeperson takes off
at max acceleration 1 second later, will they be able to catch the speeder in 10 seconds?
(Show work)

Answers

Answer 1

Answer:

The policeperson will not be able to catch the speeder in 10 seconds

Explanation:

The maximum acceleration of the 2020 Ford police interceptor, a = 4.4 m/s²

The rate at which the speeding car is moving, v = 70 mph (31.3 m/s)

The time after which the policeperson takes off = 1 second

The time, t, at which the policeperson catches the speeding car is given as follows;

s = u·t + 1/2·a·t²

Where;

u = The initial velocity of the Ford police interceptor = 0

∴ s = 0 × t + 1/2·a·t² = 1/2·a·t²

s = 1/2·a·t²

s = v × (t + 1)

Equating both equations, gives;

v × (t + 1) = 1/2·a·t²

Substituting the values, we get;

31.3 × (t + 1) = 1/2 × 4.4 × t²

31.3·t + 31.3 = 2.2·t²

2.2·t² - 31.3·t - 31.3 = 0

By the quadratic formula, we have;

t = (31.3 ± √((-31.3)² - 4×2.2×(-31.3))/(2 × 2.2)

t ≈ -0.938 seconds or t ≈ 15.165 seconds

The policeperson will catch the speeder in approximately 15.165 seconds

Therefore, the policeperson will not be able to catch the speeder in 10 seconds.


Related Questions

How much net force is required to accelerate a 6 kg toy car initially at rest to a velocity of 2m/s in 4s?

Answers

Answer:

3N

Explanation:

Given parameters:

Mass of toy car  = 6kg

Initial velocity = 0m/s

Final velocity  = 2m/s

Time  = 4s

Unknown:

Net force  = ?

Solution:

The net force is given by;

      Force  = mass x acceleration;

     Force  = mass  x [tex]\frac{v - u}{t}[/tex]  

 v is the final velocity

 u is the initial velocity

 t is the time taken

Now insert the parameters and solve;

  Force  = 6 x [tex]\frac{2 - 0}{4}[/tex]   = 3N

Having good etiquette and sports ethics will make you a more respected player.

Answers

Answer:

this is true

Explanation:

just did the it on edg 2020

Answer:

True

Explanation:

slope or velocit ime graph represent
2. What is instantaneous acceleration?
3. What is unit vector?​

Answers

Answer:

Please check the explanation.

Explanation:

The slope of the velocity-time graph illustrates the change in velocity with respect to change in time.

In other words, the acceleration of the object is defined by the slope of a velocity graph. The acceleration can be obtained by finding the slope at a particular time.

Hence, the slope of the velocity time graph represent represents acceleration.

2. Also the acceleration of any object, like a car or bike, at some discrete instant in time 't' is termed as instantaneous acceleration which can be determined if we may take the derivate of the given velocity function.

3. A vector that has a direction and magnitude of 1 is termed as a unit vector, often called a direction vector.

Please help ACTUALLY ANSWER i dont understand CER writing?
this is an example:

Claim: cookies are good because they are good
evidence : ¨cookies have 1 billion protien¨- the new york times
reasoning: (what would i put here???)
PLEASE HELP AND ACTUALLUY ANSWER

Answers

Well cer does stand for claim, evidence and reasoning and for reasoning I usually put bs there so, for example

Claim: Cookies are good because they have a lot of protein

Evidence: “Cookies have 1 billion protein.” - New York Times

Reasoning: I chose this because it specifically backs up my claim. Not only do cookies have 1 billion grams of protein they also are very delicious to eat.

Determine the momentum of a 25kg freshman football player moving southward at 2m/s.

Answers

Answer:

50 kg*m/s southward

Explanation:

p=mv

 =25kg(2m/s)

 =50 kg*m/s

What would take more work: a 10 kg bowling ball lifted 1 meter off the ground, or a 1 kg laptop lifted 10 meter off the ground? Explain how you arrived at your answer. PLEASE HELP!!!!!!!!!! 50 POINTSSSSS

Answers

Answer:

10kg ball

Explanation:

a laptop is a lot less in weight so you have to use less force to lift it

Answer:

10 kg bowling ball

Explanation:

A h e m.

It would be easy to lift 1kg laptop 20 meters without breaking a sweat and would be less than your body weight. But a 10kg bowling ball is that x10 so its  heavier

A physics student swings a tennis ball connected to a rope in a vertical circle with a constant speed of 6.29 m/s. The ball has a period of 0.5 seconds. Determine the length of the rope (the radius of the circle. ​

Answers

Answer:

r = 0.5 m

Explanation:

First we find the angular speed of the ball by using its period:

ω = θ/t

For the time period:

ω = angular speed = ?

θ = angular displacement = 2π rad

t = time period = 0.5 s

Therefore,

ω = 2π rad/0.5 s

ω = 12.56 rad/s

Now, for the radius:

v = rω

r = v/ω

where,

v = linear speed = 6.29 m/s

r = radius = ?

r = (6.29 m/s)/(12.56 rad/s)

r = 0.5 m

a flywheel turns at 600 rpm compute the angular speed at any point on the wheel and the tangential speed 0.5 m from the centre ​

Answers

Answer:

30m÷hour

Explanation:

600÷0.5=30m÷hour

What part of the plant takes in carbon dioxide?

1.Roots
2.Stomata
3.Minerals
4.Soil

Answers

The answer is number 2 stomata.

the answer is stomata 2

What can affect the properties of a substance?
A. Only the arrangement of atoms

B. Only the types of atoms

C. Neither the arrangement nor the types of atoms

D. The arrangement and types of atoms

Answers

The answer is D. The arrangement and types of atoms

An 856 kg drag race car accelerates from rest to 105 km/h in .934s. What change in momentum does the force produce? Answer in units of kg • m/s

Part 2: what average force is exerted on the car? Answer in N

Answers

Hello!

Topic: Dinamic

Value to calculate: Force

First, we have to calculate the aceleration, for that, lets aplicate the formula:

[tex]\boxed{a=\frac{V-Vi}{t} }[/tex]

How the final velocity is in km/h, we have to convert it on m/s, so:

m/s = km/h / 3,6

m/s = 105 / 3,6

m/s = 29,16

Then, lets replace formula according problem information:

[tex]a = \dfrac{29,16m/s-0m/s}{0,934s}[/tex]

[tex]a =31,22\ m/s^{2}[/tex]

Now, how we have the aceleration, lets applicate second law of newton for calculate the force produced:

[tex]\boxed{F=ma}[/tex]

Replace and resolve it:

F = 856 kg * 31,22 m/s^2

F = 26724,32 kg * m/s^2

Then the force is of 26724,32 kg * m/s^2

But how we know an 1 kg * m/s^2 = 1 N

Then the average of the force is of 26724,32 N  

(1) The change in momentum of race car is 89880 kg-km/h.

(2) The average force exerted on the car is of 96231.26 N.

Given data:

The mass of race car is, m = 856 kg.

The initial speed of car is, u = 0 km/h.

The final speed of car is, v = 105 km/h.

The time interval is, t = 0.934 s.

1)

The change in the impact due to average force is known as momentum change. The expression for the change in momentum is given as follows,

[tex]\Delta P = m(v-u)[/tex]

Solving as,

[tex]\Delta P = 856 \times (105-0)\\\\\Delta P = 89880 \;\rm kg.km/h[/tex]

Thus, we can conclude that the change in momentum of race car is 89880 kg-km/h.

2)

Now, use the concept of impulse-momentum which says that the impulse is equal to change in momentum. Which means,

[tex]I = \Delta P[/tex]

And impulse is,

[tex]F \times t = \Delta P\\\\F = \dfrac{\Delta P}{t}[/tex]

Solving as,

[tex]F = \dfrac{89880}{0.934}\\\\F = 96231.26 \;\rm N[/tex]

Thus, we can conclude that the average force exerted on the car is of 96231.26 N.

Learn more about the impulse-momentum theorem here:

https://brainly.com/question/14121529

A map of earthquakes and volcanoes on Earth shows that they do not occur in evenly distributed areas, but they also do not occur randomly over Earth's surface. Describe what GPS measurements show about the distribution of locations where earthquakes and volcanoes occur.

Answers

Volcanoes occur at any location where the Earth's crust is broken allowing the magma within the Earth to escape. Volcanoes are commonly found at edges of tectonic plates. ... Near tectonic plate boundaries. The world's tectonic plates is where you find the distribution of major earthquakes and volcanoes.

what is the process of subduction

Answers

Answer:

Subduction is a geological process that takes place at convergent boundaries of tectonic plates where one plate moves under another and is forced to sink due to high gravitational potential energy into the mantle. Regions where this process occurs are known as subduction zones.

which list places different units of matter in the correct sequence from largest to smallest

Answers

Answer:

B: Human body, organs, molecules, atoms neutrons. please correct me if im wrong

Explanation:

A P ex

The list that places different units of matter in the correct sequence from largest to smallest is as follows:

The human body, organs, molecules, atoms neutrons.

What is the matter?

Matter may be defined as a type of substance that possesses a specific mass and occupies space by having a specific volume. So, it certainly has both mass and volume. In nature, each and every object is made up of matter.

With respect to the question, the human body is the largest unit that consists of matter. The body of a human generally consists of numerous organ systems which are built through the collection of other different organs.

The organ is further made up of the collection of tissues that are formed by the collection of cells. Cells possess numerous molecules which are made of atoms. Atoms have three types of subatomic particles, i.e. electrons, protons, and neutrons.

Therefore, the list that places different units of matter in the correct sequence from largest to smallest is well mentioned above.

To learn more about Matter, refer to the link:

https://brainly.com/question/16982523

#SPJ7

Your question seems incomplete. The most probable complete question is as follows;

Which list places different units of matter in the correct sequence from largest to smallest?

The human body, organs, molecules, atoms, and neutrons.Neutrons, atoms, molecules, organs, and the human body.Molecules, atoms, neutrons, human body, and organs.

a 110 volt wall outlet supplies power to a stereo with a resistance of 10 ohms. how much current is flowing through the stereo?​

Answers

Answer:

look in internet u can find online converter and there u will get a rel answer

Explanation:

An object traveling at a constant velocity of 15 m/s is experiencing no net
force.
True or
False

Answers

False
It is experiencing net force

Which statement best describes scientific laws? (2 points)
O Scientific laws are scientists' opinions of why events occur.
Scientific laws are facts that describe observed reoccurring natural events.
Scientific laws explain why natural events occur.
Scientific laws were theories that have been proven to be true.

Answers

Answer:

Scientific laws are facts that describe observed reoccurring natural events.

Explanation:

Scientific laws are explanations for the behavior of the natural world. Scientific theories are explanations for scientific laws.

Write a letter to a Friend congratulating her / him for her excellent result in annual examination. class 5 the​

Answers

Answer:

ok will do that

Explanation:

What is shown by the pattern of iron filings around these two magnets?

A. Opposite poles repel because no magnetic field forms between them.
B. Like poles attract because the magnetic field lines extend between them.
C. Like poles repel because the magnetic lined bend away from each other.
D. Opposite poles attract because the magnetic field lines cross each other.

Answers

The pattern of iron fillings around the magnet depicts that like poles repel because the magnetic lined bend away from each other. Thus, option C is correct.

What are magnetic field lines?

The North Magnetic Pole would move via magnetic field lines, which are hypothetical lines. The magnet's oppositely polarized poles attract and repel one another.

Since the magnetic field lines inside the magnet run from the south pole to the north pole, Never do magnetic field lines cross one another. A closed loop is formed by magnetic field lines.

Because magnetic force lines are bending in the direction of the south pole in the illustration, like poles repel one another. If the magnetic lines are bent away from one another, like poles repel one another.

Thus, image given has the presence of lines bending away from each other, thereby are like poles repel. Hence, option C is correct.

Learn more about magnetic filed lines here:

https://brainly.com/question/15041207

#SPJ5

Pls help, I have a test on this, with explanation.

Answers

Answer:

the answer is B

Explanation:

we assume that all of these springs have tha same k , the spring constant

elastic energy for the initial system = Ep1=  [tex]\frac{kd^{2} }{2}[/tex]

for the new changed system , the spring constant = k1+k2 = k+k = 2k  , but the displacement is also reduced to 0.5 d

so Ep2 = [tex]\frac{2k(0.5d)^{2} }{2} = \frac{kd^2}{4}[/tex]

so the new total Ep stored in the new system is 1/2Ep

hope it helps

a car is moving 18m/s to the east. if it takes the car 5 seconds to reach a velocity of 19 m/s to the east, what is its acceleration?

Answers

Kinematics

First Velocity (Vf) = 18 m/s

Last Velocity (Vl) = 19 m/s

time (t) = 5 seconds

acceleration = ______?

Answer :

Vl = Vf + a × t

19 = 18 + a × 5

19 - 18 = 5a

1 = 5a

1 / 5 = a

0,2 m/ = a

Answer: 0.2 m/s^2 east

Explanation:

A PE X

A shopper walks westward 2.8 meters in the first 5 minutes and then eastward 9.2 meters in the next 10 minutes. What is the shopper's total travel distance? ​

Answers

Answer:

12m

Explanation:

Given parameters:

Distance walked westward  = 2.8m

Time of travel  = 5min

Distance walked eastward = 9.2m

Time of travel  = 10min

Unknown:

The total shopper's travel distance  = ?

Solution:

Total distance traveled is the sum of the length of path covered by a body. It is a scalar quantity.

 Total distance = distance walked westward + distance walked eastward

  Total distance  = 2.8m + 9.2m  = 12m

What is the period of a wave that has a frequency of 30 Hz?
A. 0.3s
B. 0.03 s
C. 30 s
D. 35

Answers

Answer:

0.03s

Explanation:

Period of wave and its frequency are closely related. Period is the inverse of frequency.

The period of a wave is the time taken for a number of waves to pass through a particular point.

The frequency of a wave is the number of waves that passes through a point at a particular time.

So;

          f  = [tex]\frac{1}{T}[/tex]  

f is the frequency

T is the period

   Period of the wave  = [tex]\frac{1}{30}[/tex]   = 0.03s

Answer:

a

Explanation:

A 0.15 kg project hits the ground with a speed of 11 m/s. The project comes to rest in 0.015 seconds. What is the net force?

Answers

Answer:

Explanation:

ACCORDING TO NEWTONS SECOND LAW;

F = mass * acceleration

F = m(v-u/t)

m is the mass = 0.15kg

v is the final velocity = 11m/s

u is the initial velocity = 0m/s

t is the time = 0.015

Substitute;

F = 0.15(11-0)/0.015

F = 0.15(11)/0.015

F = 1.65/0.015

F = 110N

Hence the net force is 110N

The total weight of a car with passengers is 30,000N. The area of contact of each of the four tyres with the ground is 0.025m2. Determine the minimum car tyre pressure

Answers

Answer:

The minimum pressure car tire pressure is 300,000 Pa

Explanation:

Pressure

It's a measure of the force exerted by an object per unit surface:

[tex]\displaystyle P=\frac{F}{A}[/tex]

Where F is the force applied on a surface area A.

We are given the total weight of a car with passengers as Ft=30,000 N and we also know the area of contact of each tire with the ground as [tex]A=0.025 m^2[/tex].

The minimum pressure each tire can have is when the total weight is evenly distributed in all four tires, thus F=Ft/4=7,500 N.

Calculating the pressure:

[tex]\displaystyle P=\frac{7,500}{0.025}[/tex]

P=300,000 Pa

The minimum pressure car tire pressure is 300,000 Pa

Define Continental Drift

Answers

Answer:

the gradual movement of the continents across the earth's surface through geological time.

Answer:

Continental drift is the hypothesis that the Earth's continents have moved over geologic time relatives to each other.

Who is son of nation ​

Answers

Explanation:

well the father of nation is Mahtma Gandhi.

After 20 seconds, a 200-kg object increases its velocity from 15 m/s to 40 m/s. Determine the impulse applied to the object. (Also show your work so I can understand it better and ty)

Answers

Answer:

Imp_{1-2}=5000[kg*m/s]

Explanation:

In order to solve this problem, we must use the principle of conservation of momentum, which is defined as the product of mass by Velocity.

It must be defined that the impulse after the force is applied is equal to the momentum before the impulse applied on the body.

ΣPbefore = ΣPafter

P = momentum = m*v [kg*m/s]

In this way, we will construct the following equation.

[tex](m_{1}*v_{1})+ Imp_{1-2}=(m_{1}*v_{2})[/tex]

where:

m₁ = mass of the object = 200 [kg]

v₁ = velocity of the object before the impulse = 15 [m/s]

v₂ = velocity of the object after the impulse = 40 [m/s]

Now replacing:

[tex](200*15) + Imp_{1-2} = (200*40)\\Imp_{1-2}=5000[kg*m/s][/tex]

What does Newton's first law describe?
A. The tendency of moving objects to stay in motion
OB. The attractive force between two objects due to their masses
O C. How forces balance out to zero net force
D. The change in an object's position over time

Answers

Answer:

A. the tendency of moving objects to stay in motion

Explanation:

just did it on ap3x

b.A certain piece of copper wire is determined to have a mass of 2.00 g per meter.
How many centimeters of the wire would be needed to provide 0.28 g of
copper?
Help please!!

Answers

Answer:

14cm

Explanation:

Mass per gram of the piece of wire;

         2g of the wire is found in 1m

 Since

       100cm  = 1m;

 

So;

       100cm of the wire contains 2g of the wire

To provide 0.28g

 Since;

        2g of wire is made up of 100cm

      0.28g of wire will be contained in [tex]\frac{100 x 0.28}{2}[/tex]   = 14cm

14cm of the wire will contain 0.28g

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