A truck is traveling at a constant speed of 20 m/s through a school zone. At time t = 0 seconds, he passes a hidden police car that is at rest. Five seconds after the truck passes, the police car begins accelerating at a constant rate of 2 m/s in order to catch the truck.

Determine the time at which the speed of the truck is equal to the speed of the police car. Mark this time as t↓1. How will the positions of the police car and the truck compare when they have the same speed and why?​

Answers

Answer 1

Answer:

Let's define:

The position zero will be in the first point where the truck and police car meet. (So the initial position of both vehicles is zero)

Then, the position equation for the truck is:

T(t) = 20m/s*t

Where t is our variable, time in seconds.

Now, at t = 5s, the car starts accelerating.

Ac(t) = 2m/s^2                    for( t ≥ 5s)

For the velocity of the car, we must integrate that.

V(t) = (2m/s^2)*(t - 5)           for (t ≥ 5s)

Where i introduced a little change in the variable because the velocity of the car starts to increase for t larger than 5 seconds.

For the position of the car we integrate again.

C(t) = (1m/s)*(t - 5)^2            for (t ≥ 5s)

Now, let's answer the questions:

Determine the time at which the speed of the truck is equal to the speed of the police car.

Then we must have:

V(t) = (2m/s^2)*(t - 5)  = 20m/s.   (Remember that we only can use times requal or larger than 5 seconds).        

2m/s^2*t - 10m/s = 20m/s

2m/s^2*t = 30m/s

t = (30/2) s = 15s

The velocities of both vehicles will be the same after 15 seconds.

t1 = 15s

How the positions will compare at this time?

The easier thing will be to evaluate the position equation of each vehicle in this time:

T(15s) = 20m/s*15s = 300m

C(15s) = (1m/s^2)*(15s - 5s)^2 = (1m/s^2)*(10s)^2 = 100m.

Then we can see that the truck is 200m ahead of the car.

But remember that the police car is accelerating, so the velocity will keep increasing meaning that eventually, the car will catch the truck.


Related Questions

MORE POINT HAPPY FRIDAYYY HURRY

Answers

Answer:

thanks!

Explanation:

3. What are the two parts of a shadow?
O opaque area and dark area
the umbra and penumbra
O the umbra and
antunghaya
O the illuminated opaque object and the umbra

Answers

Answer:

the umbra and penumbra

Explanation:

The two parts of a shadow are the umbra and penumbra.

A shadow is an expression formed when light from a source is cut blocked by an opaque body.

Most shadows are made up of two parts, umbra and penumbra.

The umbra is the darkest, and the innermost part of a shadow. In the penumbra, only a portion of the light source is blocked. It is more of like a partial shadow.

The umbra is directly formed by light which impinges on an opaque body and it completely cut off.

True or False? Physical properties can be observed or measured without changing the identity of matter.

Answers

Answer:

true

Explanation:

A driver of a car traveling at -15m/s applies the brakes, causing a uniform acceleration of +2.0m/s2. If the brakes are applied for 2.5s, what is the velocity of the car at the end of the braking period? How far has the car moved during the braking period?

Answers

Given :

Initial velocity, u = -15 m/s.

Acceleration , a = 2 m/s².

Time taken to applied brake, t = 2.5 s.

To Find :

The velocity of the car at the end of the braking period.

How far has the car moved during the braking period.

Solution :

By equation :

[tex]v = u+at\\\\v=-15 + 2\times 2.5\\\\v=-10 \ m/s[/tex]

Now, distance covered by car is :

[tex]s=ut+\dfrac{at^2}{2}\\\\s=(-15)(2.5)+\dfrac{2(2.5)^2}{2}\\\\s=-31.25\ m[/tex]

Hence, this is the required solution.

A runner starts at rest and accelerates until reaching a speed of 9.0 m/s. A graph of her velocity over time is shown below
Velocity
m
15+
12+
9
6
3+
Time (s)
1
3
6
9
12 15 18
What is her average acceleration from 0 to 9.0 seconds?

Answers

Answer:

0.67 m/s^2

Explanation:

khan academy

For the first 10 seconds a squirrel runs 3 m/s to look for an acorn. The next 5 seconds he eats an acorn that he finds. Afterwards the squirrel runs 2 m/s back to where he started. (A) How long does it take for the squirrel to get back to where he started?

Answers

Distance covered by the squirrel to look for an acorn :

d = ( 3 m/s ) × 10 s = 30 m.

Time taken to eat an Acron is 5 seconds.

Time taken to cover distance of 30 m with 2 m/s speed is :

[tex]T=\dfrac{30}{2}\ s= 15 \ s[/tex]

Therefore, total time take to  get back to where he started is ( 10+5+15 ) = 30 s.

Hence, this is the required solution.

Answer:

it wont let me commment so i need to know if the answer above is correct

Explanation:

please elp! will mark BRAINLIEST

Answers

Answer:

Help with what

Explanation:

Calculate: A baseball accelerates downward at 9.8 m/s2. The force pulling the ball downward is 1.4 N. What is the mass of the baseball?

Answers

[tex]\large{\underline{\underline{\red{\tt{\purple{\leadsto } AnsweR:-}}}}}[/tex]

Given : Acceleration of the ball is 9.8 m / s² . The pulling force is 1.4 N .

To Find : The mass of the ball .

Solution : It is given that a ball accelerates download with a acceleration of 9.8 m / s² . And the acting force is 1.4 N .

We know that , Force acting is equal to the product of mass and acceleration . That is ,

[tex]\boxed{\purple{\bf Force=mass\times acceleration}}[/tex]

⇒ Force = mass × accelerⁿ

⇒ 1.4 N = mass × 9.8 m / s²

⇒ mass = 1.4 N / 98 m/s²

⇒ mass = 14N / 98 m/s².

mass = 1/7 kg .

Hence the mass of the object is 1/7 kg 0.14 kg.

You and your friends are going on a picnic in a very small car. On your way, the car breaks down and you try to push it to get it to move but in vain. You ask your friends to help you and the car starts moving and revs up. How are you and your friends applying Newton's second law of motion here? What if the car you were traveling in was a large SUV?

Answers

Answer:

The pushing of the car by you and your friends is the applied force and when the car moves, it means that the velocity has changed thus causing the movement or acceleration.

Explanation:

Newton's work on forces regarding motion can never be neglected by scientists. Sir Isaac Newton when he was alive, among several of his works he proposed the three laws guiding the forces of motion. In this question we are only going to be treating only one out of the three Newton's Law of motion and that is the second Law Of Newton's laws of motion.

The second Law Of Newton's laws of motion states that the acceleration of an object is directly proportional to the applied force and inversely proportional to the object's mass.

(1). Now, to the question: " How are you and your friends applying Newton's second law of motion here? "

The pushing of the car by you and your friends is the applied force and when the car moves, it means that the velocity has changed thus causing the movement or acceleration.

According to the law, the more the Force, the more the acceleration.

(2). For the second part of the question, " What if the car you were traveling in was a large SUV?"

From the law stated above we see that the acceleration is inversely proportional to the mass, thus if the car is a large SUV, It means that more force is needed to change the car's velocity.

Answer:

When a friend joins you in pushing the small car, the net force on it increases. Therefore, it starts to move. The mass of a SUV is much greater than that of a small car. You would thus need the help of more friends to help push it.

Explanation:

Plato/Edmentum

Questlon 6 of 10 Which two types of energy does an apple falling to the ground have?

A. Potential energy
B. Nuclear energy
C. Kinetic energy
D. Elastic energy
E. Sound energy​

Answers

A. Potential energy C. Kinetic energy

I just took the quiz

Answer:

Potential energy + Kinetic energy

Explanation:

ap3x verified

A scientist who conducted an experiment obtained an unexpected result. What will she most likely do with the unexpected result? leave it out of her analysis and final report stop the experiment and begin again change the procedures and try again develop a new question to be investigated

Answers

Answer: stop the experinment and begin again sometimes the result of the experiment may give you unexpected results due to the fact that you may have missed a certain step or you didn't follow the procedure accurately to the dot, hence it's important to redo the experiment and see if every step was followed accurately before you can discard the results or change the procedure.

Explanation:

Answer:

d

Explanation:

what is the central mass of a apple ?

Answers

The stem of the apple

i’m about to end my life over this class I have a 46.9% right now :) do not take physics. i repeat if you’re seeing this DO NOT EVER TAKE PHYSICS.

Answers

yeah i made that mistake last year lol

is isopropyl alcohol a element compound or mixture

Answers

Answer:

Isopropyl is an element compound.

Explanation:

A 20 N model rocket launched vertically is clocked at 25 m/s when it is 15 m above the ground (and has expended a negligible amount of fuel). Use the work–energy principle to find the rocket’s initial speed.

Answers

Answer:30.3 m/s

Explanation:

What is the depth of the crater if the time is 6.3 s? An astronaut stands by the rim of a crater on the moon, where the acceleration of gravity is 1.62 m/s2. To determine the depth of the crater, she drops a rock and measures the time it takes for it to HIT the bottom

Answers

Complete Question

An astronaut stands by the rim of a crater on the moon, where the acceleration of gravity is 1.62 m/s2. To determine the depth of the crater, she drops a rock and measures the time it takes for it

to hit the bottom. If the time is 6.3 s, what is the depth of the crater?

Answer:

The depth is 32 m

Explanation:

From the question we are told that

  The  time is  t =  6.3 s

  The acceleration due to gravity is  [tex]g =  1.62 \  m/s^2[/tex]

 

Generally from kinematic equation

    [tex]s = ut + \frac{1}{2}  - at^2[/tex]

Here the u is the initial  velocity and the value is  0 m/s

      [tex]s = 0 + \frac{1}{2}  - (1.62) * (6.3)^2[/tex]

        [tex]s = 32 \ m [/tex]

   

Why would the CPSC perform studies when other soap and detergent companies have already conducted research on the same products? The CPSC is the only organization that can test the safety of soaps and detergents. Studies conducted by any company that benefits financially are considered unreliable. Studies performed by the CPSC give reliability to the results of improved safety obtained by each soap company. Tests performed by the CPSC follow established scientific methods, but those performed by soap companies do not.

Answers

Answer: Studies performed by the CPSC give reliability to the results of improved safety obtained by each soap company.

Explanation:

The function of Consumer Product Safety Commission is to make sure that the products which are used by consumers are safe and also make sure that companies meet the required and acceptable safety standards. The products that are seen to be harmful to the health of the consumers are banned.

Regarding the question above, CPSC would perform studies when other soap and detergent companies have already conducted research on the same products because the studies performed by the CPSC give reliability to the results of improved safety obtained by each soap company.

Answer:

Tests performed by the CPSC follow established scientific methods, but those performed by soap companies do not.

Explanation:

Coulomb's law describes how the charge on and distance between two
particles affect the electric force between them. Which situation will result in
the two particles being attracted to each other?

Answers

The situation in which one particle has a positive charge and one has a negative charge will result in the two particles being attracted to each other.

What is Coulomb's law?

It states that the force between two charged particles is directly proportional to the product of the magnitude of the charges and inversely proportional to the square of the distance between them.

Given is Coulomb's law which describes how the charge on and distance between two particles affect the electric force between them.

From the properties of charges, we know that the like charges repel and unlike charges attract each other. This means that two positive charges will repel each other and two negative charges will also repel each other. However, if one positive and one negative charge are brought closer to one another, than they will attract each other.

Therefore, the situation in which one particle has a positive charge and one has a negative charge will result in the two particles being attracted to each other.

To solve more questions on Coulomb's law, visit the link below-

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What is the displacement of an object that moves from the origin to a position at - 12m​

Answers

Answer:

Displacement, d = 12 meters

Explanation:

The displacement of an object that moves from the origin to a position at −12 m is 12 meters.

The distance from the origin to the maximum position is called displacement of an object. The maximum displacement of the particle in a wave is called crest and the minimum displacement is called the trough. -12 shows the displacement in negative axis.

So, the displacement of an object is 12 meters.

In three to five sentences, evaluate the scientific evidence that supports the big bang theory and the steady state theory.

Answers

The universe was created due to an explosion that occured in space and that the universe is expanding but still maintains an average density that's constant.

Briefing: 

The Big Bang Theory proposes that a space-based explosion led to the creation of the universe. The space expanded because of the extraordinarily high temperature and density. The elements were then created after the cosmos cooled.

According to the Big Bang Theory, the universe was created by a tremendous explosion that took place billions of years ago. The stars and galaxies that exist in our universe were formed when matter was drawn together by gravity.

The steady state theory is a description of the idea that although the cosmos is expanding, its average density remains constant.

The steady state theory claims that even though the cosmos is expanding, its appearance remains unchanged.

In conclusion, the steady state hypothesis and the big bang theory both describe how the universe came into being.

To know more about Big bang and steady state theory visit:

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Which model of the atom has electrons traveling in specific paths around the nucleus? Bohr's model Rutherford's model Thomson's model Dalton's model

Answers

Answer:

A, Bohr's model

Explanation:

Took the quiz, hope it's right for you.

(The other three did have something to do with it they just didn't create that specific model)

The model of the atom that has electrons traveling in specific paths around the nucleus is Rutherford's model.

Therefore, the correct answer is option B

J. J Thomson proposed that the atom is a sphere of positively charged matter in which negatively charged electron are embedded.

In Rutherford's model of atomic structure, the electrons moves in orbits by electrostatic attraction to the positively charged nucleus.

According to Dalton's atomic theory, atom were indestructible and indivisible  solid particle.

Bohr's model made assumption that electron can only exist in circular orbits of definite quantum energy.  

According to the question, the model of the atom that has electrons traveling in specific paths around the nucleus is Rutherford's model.

Therefore, the correct answer is option B

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Three toy boats with the same mass were in a lake. Two boats were moving and one was stopped. Each boat got bumped by another boat, but not in the same direction. All the boats changed speed as a result of being bumped. Use the information in the diagram to answer. Which toy boat exprienced the strongest force when it was bumped ? How do you know ?

Answers

The answer is " The orange and gray toy boats experienced the strongest force because both gained the same force as they sped up the blue boat lost force so it slow down

Explanation:

Trust me I did this one for an assignment

The boat that will experience the strongest force is the boat that has the highest speed.

According to Newton's second law of motion, the force applied to an object is directly proportional to the product of mass and acceleration of the object.

F = ma

[tex]F = \frac{mv}{t}[/tex]

where;

F is the force experienced by the objectv is the velocity of the objectt is the time of motion

The force experienced by the boats is directly proportional to the velocity of their motion. Since the boats have the same mass, the force experienced by each boat will depend on the speed with which the boat moves.

Thus, the boat that will experience the strongest force is the boat that has the highest speed.

Learn more here:https://brainly.com/question/11657305

help awnsers need expertsss​

Answers

Answer:

ok the answer for number 14 is 0.5 0 kilograms to get this answer this is my explanation ok where try that the bottle of water when full has a mass of 1.30 kg and one half of the water is poured away the mass of the bottle and the half of water is 0.90 kilograms so to get the the water that was poured out we will subtract 0.90 kg from 1.30 kilograms to get 0.40 kilograms so this 0.40 kilograms is the half of the water that was poured out meaning the other half is also 0.40 so to get the mass of the bottle we will take mass of the bottle plus the water - mass of the water so it will be 1.30 kilograms - 0.80 kilograms to get 0.50 kilograms.and number 15 I don't know I'm sorry about that

What does it mean to
"accelerate"?

Answers

Answer:

increase in amount or extent.

Explanation:

in other words speed up or go faster in a less time period

Determine the weight of a 2959.0-kg car that is moving at a speed of 21 m/s. Enter a
numerical answer.

Answers

weight=mass*gravity

w=2959.0*10

w=29590N

The weight of a 2959.0-kg car that is moving at a speed of 21 m / s would be 28998.2 Newtons, here speed of the car is the redundant value that is not used to calculate the weight of the car.

What is gravity?

It can be defined as the force by which a body attracts another body toward its center as the result of the gravitational pull of one body and another.

As given in the problem, we have to determine the weight of a 2959.0-kg car that is moving at a speed of 21 m / s .

The weight of the car = mass of the car × acceleration due to gravity

                                    = 2959 × 9.8

                                    = 28998.2 Newtons

Thus, the weight of a 2959.0-kg car that is moving at a speed of 21 m / s would be 28998.2 Newtons.

To learn more about gravity here, refer to the link given below ;

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True or False. Energy can move in waves.

Answers

Light, heat, radio, and similar types of energy are carried by a variety of waves in the ELECTROMAGNETIC SPECTRUM. Some energy waves need a medium, such as water or air, through which to travel. The medium moves back and forth as waves carry energy through it, but it does not actually travel along with the wave.

True, energy can in move in waves because waves transfers energy during their propagations.

A wave is a disturbance that transfers energy from one point to another, along its path of propagation.

A wave can be mechanical or electromagnetic.

A mechanical type of wave requires material medium for its propagation.

Examples;

sound wavewater wave

An electromagnetic wave does not require material medium for its propagation.

Examples;

Gamma rayx-rayultraviolet rayvisible light, etc

Thus, we can conclude that energy can in move in waves because waves transfers energy during their propagations.

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The radius of Mars is 3.4 x 10^6m and the period of Mars's rotation is 24 hours. What is the radial accelerations (in m/s^2) of an object on the ground at its equator?
A. 0.018m/s^2
B. 0.136m/s^2
C. 0.068m/s^2
D. 0.376m/s^2

Answers

Answer:

Option A: 0.018m/s^2

Explanation:

Formula for radial acceleration is;

α_r = ω²r

Now, ω = 2π/T

We're given T = 24 hours. Converting to seconds is; T = 24 × 60 × 60 seconds

ω = 2π/(24 × 60 × 60)

We are given radius = 3.4 × 10^(6) m

Thus;

α_r = (2π/(24 × 60 × 60))² × 3.4 × 10^(6)

α_r = 0.018 m/s²

what pair of features best characterizes a sound wave?

Answers

Answer:

The only thing you need to know which pair of features that best characterizes a sound wave is to view the graph or the image of monitor.

Explanation:

What are the theoretical properties of a gas at a temperature at 0 kelvin?

Answers

Answer:

The theoretical properties of a gas at a temperature of 0 Kelvin would be solid and hard. It will go from gas to liquid and finally to a solid state. All the particles will be mushed together. If a gas at zero degrees Celsius were cooled to -273 degrees Celsius, its volume would be reduced by 273/273 and become zero.

IDK MORE POINTS BUT SAY SOMTHING FUNNY

Answers

Not the place for this but yesterday I ate a clock, it was very time consuming.

What is brown and sticky

A STICK GET YOUR MIND OUT OF THE GUTTER

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