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

The gradual change in a species over time is called
a.
mutation.
b.
evolution.
c.
migration.
d.
variation.
PLZ HURRY WILL GIVE BRAINLIEST

Answers

Answer: B. Evolution

Explanation:

As species grow older over time they will gradually evolve through natural selection and evolution.

The gradual change in a species over time is known as evolution (b).

The process of evolution occurs through several mechanisms, including mutation, migration, and natural selection.

Mutation (a) is the spontaneous change in the genetic material of an organism. These changes can result in new traits that may be advantageous, disadvantageous, or neutral for survival. When mutations occur, they can introduce genetic variation within a population, which serves as the raw material for evolution.

Natural selection is a crucial factor driving evolution. Individuals with advantageous traits that better suit their environment are more likely to survive and reproduce, passing on these advantageous traits to their offspring. Over generations, the frequency of beneficial traits increases in the population, leading to the adaptation and evolution of the species.

Variation (d) encompasses the differences in physical traits and genetic makeup among individuals within a population. This variation is essential for evolution to occur since it provides the raw material for natural selection to act upon.

To know more about species here

https://brainly.com/question/9506161

#SPJ6

The velocity of an object is it’s speed and __ of motion .

Answers

Answer:

direction should be the answer

velocity i’m pretty sure

A skateboarder rolls horizontally off the top of a staircase at a speed of
14.5 ms and lands at bottom of the stairs. The staircase has a horizontal length of
8.00m 8.00m8, point, 00, start text, m, end text. We can ignore air resistance. What is the skater's vertical displacement during the jump?

Answers

Answer:

The skater's vertical displacement during the jump is 1.49 meters

Explanation:

Horizontal Motion

When an object is thrown horizontally with a speed v from a height y, the range or maximum horizontal distance traveled by the object can be calculated as follows:

[tex]\displaystyle x=v\cdot\sqrt{\frac {2y}{g}}[/tex]

If we already know the value of x, we can solve the above equation for h:

[tex]\displaystyle y=\frac {x^2g}{2v^2}[/tex]

We use the given values v=14.5 m/s, x=8 m, [tex]g=9.8 m/s^2[/tex]:

[tex]\displaystyle y=\frac {8^2\cdot 9.8}{2\cdot14.5^2}[/tex]

y = 1.49 m

The skater's vertical displacement during the jump is 1.49 meters

Answer:

The answer is -1.49 m not 1.49 m

Explanation:

It is referencing displacement from a higher point to a lower.

6. Potential energy that depends on height is called *
O kinetic energy
O gravitational potential energy.
elastic potential energy.
O mechanical energy

Answers

B - gravitational potential energy

the heavier the object is above the ground, the more gravitational potential energy it holds

hope this helps :)

The potential energy that depends on height is called gravitational potential energy. (Option B)

What is gravitational potential energy?

Gravitational potential energy is a form of potential energy that an object possesses due to its position relative to a gravitational field.

When an object is raised to a certain height above the ground, it gains gravitational potential energy. The higher the object is raised, the greater its potential energy.

This potential energy is a measure of the work that would be required to move the object against gravity and bring it back down to its original position.

The formula for gravitational potential energy is;

Potential Energy (PE) = mg h

where;

PE is the gravitational potential energym is the mass of the objectg is the acceleration due to gravityh is the height or elevation of the object

Learn  more about gravitational potential energy here: https://brainly.com/question/15896499

#SPJ6

which one of the following is a derived Si unit a. Newton, b. Meter, c. Mole, d. Kiogram

Answers

Answer:

The SI is founded on seven SI base units for seven base quantities assumed to ... The SI derived units for these derived quantities are obtained from these ... mass density, kilogram per cubic meter, kg/m3 ... amount-of-substance concentration, mole per cubic meter, mol/m3 ... solid angle, steradian (a), sr (c), -, m2·m-2 = 1 (b).

Kilogram is a derived SI unit of the following.

Thus, A universal standard for expressing the magnitudes or quantities of significant natural events is the International System of Units.

The acronym SI, which derives from the French term Systèm international  stands for the System of Units, also known as the metric system. The meter-kilogram-second (MKS) system, an earlier unit of measurement, serves as the foundation for the SI standard.

The SI standard is promoted and explained by the Bureau international des poids et mesures (BIPM). The organization was founded in 1875 and is known as the International Bureau of Weights and Measures in English. It is governed by the International Committee for Weights and Measures (CIPM).

Thus, Kilogram is a derived SI unit of the following.

Learn more about Kilogram, refer to the link:
https://brainly.com/question/29761698

#SPJ2

how big can a whale get

Answers

Answer:

Whale is the largest mammal in the world

Explanation:

you you know that the DNA of parent depend upon her babies.

so due to the DNA characteristics will get big one to another

Answer:

For example, in the North Atlantic and North Pacific, blue whales can grow up to about 90 feet, but in the Antarctic, they can reach up to about 110 feet and weigh more than 330,000 pounds. Like other baleen whales, female blue whales are generally larger than male    Blue whales are the largest animals ever known to have lived on Earth. These magnificent marine mammals rule the oceans at up to 100 feet long and upwards of 200 tons.

Explanation:

why can't you run from momentum ?

Answers

Two kids walk through the woods discussing momentum. I mean, who wouldn’t?
Okay, fine. It’s a basic introduction to the concept of momentum.


Suppose y = 2x + 10. Find y if x = -2

Answers

Answer:

y = 6

Explanation:

Given parameters:

        Given equation:

                     y = 2x + 10

And supposing; x = -2

Unknown:

y = ?

Solution:

 We are going to solve this problem by substitution;

           y = 2x + 10

  since x = -2; input this into the equation to solve for y;

           y  = 2(-2) + 10 = -4 + 10  = 6

The value of y = 6

A group of tourists drives through a state park in Maine. While arguing about whether the animal they've just seen is an Elk or a Moose, a chipmunk darts across the park road. The driver, who was traveling 6.7 m/s through the park slams on their breaks and comes to a stop. If the car has an acceleration of -8.3 m/s2, how long does it take the car to stop?

Answers

Answer:

0.8 second

Explanation:

Given data

Speed v=6.7m/s

Deceleration = - 8.3m/s²

Initial velocity u= 0m/s

We can solve for the distance covered upon breaking the speed using the expression

v=u +at

6.7=0-(8.3)t

6.7=8.3t

Divide both sides by 8.3

6.7/8.3=t

t=6.7/8.3

t=0.8 second

Consider a 400g baseball thrown from a height of 1.8m at 35m/s:

a. What is the gravitational potential energy of the baseball?

b. What is the elastic potential energy of the baseball?

c. What is the kinetic energy of the baseball?

d. What is the total mechanical energy of the baseball?

Answers

Answer:hhahe

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.

star a is composed of 60% hydrogen and star b has 54% hydrogen. which star is older and why

Answers

Answer: hello I think I'm in your class..

Explanation:

Mr. juhl is my teacher and he pit this on a test.

I'm Lennox

A sprinter can run 100.0 meters in 10.4 seconds. Find the velocity of this runner. (Please put answer into ladder cancellation format!!)

Answers

Hope you get it thank you :)

HEY CAN ANYONE PLS ANSWER DIS IN YOUR OWN WORDS!!!

Answers

Answer:

11. A small number of alpha particles being deflected at large angles suggested that there is a concentration of positive charge in the atom

12. describes properties of the atom

13. 1913

14. quantum state with all observable (atoms) independent of time.

15. the lowest energy state of an atom or other particle

Explanation:

If a train goes at constant speed of 40 miles per hour for one hour, then at constant
speed of 55 miles per hour for two hours, what is its average speed at the train?

Answers

Answer: because the train goes 72 mph for 2 hours

Explanation:

does the train go 72mph for 2 hours as well? if so the answer would be 324 because you have to add 90 twice scene it goes at that speed for 2 hours thats 180. assuming  the train goes 72 mph for 2 hours it would be 144. then add 180 and 144 and you get 324 merry christmas and a happy newyear to you and your family

A 10 kg box is resting on the table. What is the normal force on the box?

Answers

Answer:

normal force and gravitational force are equal. change kg to newtons

98N

Explanation:

The normal force on the box resting on the table is 98 N.

The given parameters;

mass of the box, m = 10 kg

The normal force on the box resting on the table is the force acting perpendicular to the box and it is calculated as follows;

Fₙ = mg

where;

m is the mass of the boxg is the acceleration the to gravity

Fₙ = 10 x 9.8

Fₙ = 98 N

Thus, the normal force on the box resting on the table is 98 N.

Learn more here:https://brainly.com/question/14486416

Doe the baby diaper tabs go to the front or back. Huggies diaper.

Answers

Answer:

back lol

Explanation:

Pull the tabs and wrap around to stick to the front of the diaper:)

Answer:

Front of the diaper

You take the straps that are connected to the back of the diaper and pull the. forward to attach to the front.

hope this helps.

The concept of "magnetisme animal" implied which of the following?
A. Most animals are magnetically conductive.
B. A person's health is related to their pets.
C. Every person has a raw, magnetic energy.
D. Vegetarians lack essential curative properties.

Answers

Answer:

C.

Every person has a raw, magnetic energy.

Explanation:

Yes, I can confirm this is correct, I got 100% on the quiz edge 2020

have a great day !

The concept of "magnetism animal" implied  that every person has a raw, magnetic energy. Hence option C is correct.

What is magnetic energy?

Magnetic energy is defined as the shifting of the electrons' charge in various particles. Magnetism is the force that magnets employ to either attract or repel one another. Electric charges in motion are what generate magnetism.

Supposedly invisible or mysterious energy known as "animal magnetism" is claimed to affect people. Franz Mesmer, a German physician, used the term "animal magnetism," also known as mesmerism, to describe what he believed to be an innate natural power that all living things, including people, animals, and plants, had.

Thus, the concept of "magnetism animal" implied  that every person has a raw, magnetic energy. Hence option C is correct.  

To learn more about magnetic energy, refer to the link below:

https://brainly.com/question/355868

#SPJ2

Select the correct answer.
Type O negative blood is considered the universal red blood cell donor because it
OA.
Has all 3 types of antigens.
OB.
Has all 3 types of antibodies.
Lacks all 3 types of antigens.
OD
Lacks all 3 types of antibodies.

Answers

Answer:

The answer is C.) Lacks all 3 types of antigens.

10 N force is acting on the body of mass 5kg which is at rest. The velocity
gained by the body in 5 seconds is

Answers

Answer:

= 4m/s^2

Explanation:

Change in velocity is

20-0/5 = 4

A stone dropped from the top of a building strikes the ground in 4.2 s. How tall is the building? Someone explain please!

Answers

Answer:

well i'm not sure if which unit of measure you need but i think its 86.49 meters  tall.

Well every objects Acceleration is 9.8 meters per second per second. So 9.8 m/s faster every second. I’m not exactly sure how to solve that though

Which of the following solar oven design materials would serve to conduct heat to maximize thermal energy in the s'more?

1. metal platform
2. foil on the exterior flap
3. layers of cotton lining the interior
4. white paper lining the interior

Answers

Answer:

The correct option is;

3. layers of cotton lining the interior

Explanation:

In the procedure for making a solar oven it is essential place the inside portion of the carboard flap be made that the air made hot by the heat of the Sun does is not removed from the oven as convection current, and to provide insulation that limits heat loss by thermal radiation as well as conduction to cooler surfaces.

Answer:

^

Explanation:

Podbijest has a net force of 49 Nading on it and it is accelerating at a rate of 8 mil. What is its med
5 kg
8 kg
40 kg
48 kg

Answers

Answer:

6.125kg    

Explanation:

Given parameters:

  Force  = 49N

  acceleration  = 8m/s²

Unknown:

Mass of the object  = ?

Solution:

From newton's second law;

    Force  = mass x acceleratioin

    49 = mass x 8

       mass  = [tex]\frac{49}{8}[/tex]   = 6.125kg    

 

many atoms of each element are in one molecule of 2-heptanone?

Answers

A chemical structure of a molecule includes the arrangement of atoms and the chemical bonds that hold the atoms together. The 2-HEPTANONE molecule contains a total of 21 bond(s) There are 7 non-H bond(s), 1 multiple bond(s), 4 rotatable bond(s), 1 double bond(s) and 1 ketone(s) (aliphatic).

:/ hope this helps

Suppose a scientist conducts a series of experiments and the results are so amazing she wants to share them with other experts in her field Why would it be risky for her to make the results public on her own website before publishing them to a scientific journal

Answers

Answer:

The results have not been through the rigorous process of peer review

Explanation:

When a scientist conducts a study and obtains results, those results ought to be submitted to a reputable journal where the results would go through the rigorous protocol of peer review.

During this process, the reliability of the data presented is ascertained before the results are published for other scientists to see.

If the results are hurriedly published on the internet, many researchers who come in contact with the work may be fed with inaccurate information.

what is a force that always resists the relative motion of objects or surfaces?

Answers

Friction is the resistance to motion of one object moving relative to another. It is not a fundamental force, like gravity or electromagnetism. Instead, scientists believe it is the result of the electromagnetic attraction between charged particles in two touching surfaces.

A person of 45 kg can accelerate at 1.5 m/s on a straight road. What is the force created?​

Answers

Answer:

The answer is 67.5 N

Explanation:

The force acting on an object can be found by using the formula

Force = mass × acceleration

From the question

mass = 45 kg

acceleration = 1.5 m/s²

We have

Force = 45 × 1.5

We have the final answer as

67.5 N

Hope this helps you

HeLp AsAp!!!!!! How long would it take you to hop 30 meters based on your speed for the 5-meter trial? Show your work!

Hopping =

Distance-5 m

Time-3.41

Speed-1.46

Answers

Answer:

20.5s

Explanation:

Given parameters:

Distance = 30m

Unknown:

Time  = ?

Solution:

The time it will take to hop a distance of 30m using the speed for the 5m trial is the duration of the trip.

 The speed for the 5m trial  = 1.46m/s

Now;

    Speed  = [tex]\frac{distance}{time}[/tex]

      Distance = speed x time

      time  = [tex]\frac{distance }{speed}[/tex]

Input the parameters and solve;

     time  = [tex]\frac{30}{1.46}[/tex]   = 20.5s

Which two options are forms of kinetic energy?
A. Sound energy
B. Elastic energy
C. Magnetic energy
D. Thermal energy
E. Chemical energy

Answers

Answer:

A, C

Explanation:

SOUND ENERGY - energy from sound

MAGNETIC ENERGY - energy with magnetism

Sound energy and magnetic energy are forms of kinetic energy. Option A and C are correct.

What is kinetic energy?

The energy of the body by the virtue of its motion is known as the kinetic energy of the body. It is defined as the product of half of mass and square of the velocity.

The passage of vibrations through matter is characterized as sound energy. When an item vibrates, sound energy is created, resulting in noise.

Sound vibrations induce pressure waves to flow through a material like air, water, wood, or metal.

Each magnetic field, also known as magnetic energy, includes energy. Electric currents create magnetic fields, magnetic energy is a kind of energy for transporting charge carriers.

Hence, the two options are A and C.

To learn more about kinetic energy, refer to the link;

brainly.com/question/999862

#SPJ2

How are Covalent bonds formed?

Answers

I believe it is introduced when the variation between the electronegativities of only two atoms is way too small for any transfer to take place to produce new ions.

Considering the definition of covalent bond, Covalent bonds are formed when valence electrons of non-metallic elements are shared and hold this elements together, forming a molecule.

Covalent bond

The covalent bond is the chemical bond between atoms where electrons are shared, forming a molecule.

Covalent bonds are established between non-metallic elements. These elements have many electrons in their outermost level (valence electrons) and have a tendency to gain electrons to acquire the stability of the electronic structure of noble gas. The shared electron pair is common to the two atoms and holds them together.

Summary

Covalent bonds are formed when electrons in the outermost level of non-metallic elements are shared and hold this elements together, forming a molecule.

Learn more about covalent bond:

brainly.com/question/12732708

brainly.com/question/29437411

#SPJ4

Other Questions
advantages of modernization ILL GIVE BRAINLEST TO WHOEVER ANSWERS FIRST AND CORRECTAccording to O*NET, what are other common skills Geographers need? Check all that apply.reading and writinglistening and speakingcritical thinkingoperation and controlsciencetechnology designequipment selection please answer. i would rlly like it A falcon flew 70 miles in 3 hours. What was the speed of the falcon? speed = distance over time ; 1 mile = 1609 meters. mai mixed a batch of pink paint using 5 cups of red paint and 3 cups of white paint.priya mixed another batch of pink paint using 7 cups of red paint and 4 cups of white paint are the 2 batches the same shade of pink?? describe how you use energy in your life everyday The data set shows the number of practice throws players in a basketball competition made and the number of free throws they made in a timed competition. Practice throws 4 10 6 15 0 7 11 Free throws 8 23 9 34 5 11 27 Use technology to find the equation and coefficient of determination for each type of regression model. Use the number of practice throws for the input variable and the number of free throws for the output variable. Round all decimal values to three places. Model Equation of regression model Coefficient of determination Linear Quadratic Exponential (standard form) Which model best fits the data set? Explain. Answer: plz help it makes no sense i have entered panic mode 1. What are the five steps of the writing process?2. How many paragraphs in a short essay?3. How many paragraphs in a long essay?4. What are three things that an essay must have to be considered organized?5. What Leader in Me Habit will you apply to yourself to succeed in writing a good essay? Write the definition of that LIM Habit (not just the Habit number). 3x+2=7x+6 what is x How many characteristics are required for something to be considered alive? write 5 sets of advice that you can give to a friend who usually cuts classes.take note to use the modal verb "ought to" and rank them from most effective to least effective Which pair of functions are inverses of each other? Judy works as a quality inspector on a TV assembly line. She is required to inspect 9 TVs every 30 minutes. At this rate, how many should she inspect during 5 and half hours of work? I don't love you anymoreA pretty line that I adoreFive words that I've heard before'Cause you keep me on a ropeAnd tied a noose around my throatYou're gone, then back at my door'Cause if you're gonna leaveBetter leave, better do it fastCan't live a little longerSitting on your lap'Cause you know what you're doingWhen you're coming backAnd I don't want to haveAnother heart attackOh, I can't beYour lover on a leashEvery other weekWhen you pleaseOh, I can't beThe kiss that you don't needThe lie between your teethThe cut that always bleedsThe cut that always bleedsSay you love somebody newAnd beat my heart, to black and blueThen they leave, and it's meYou come back toTo say you loved me all alongAnd kissed the bruises 'til they're goneBittersweet, 'cause I can't breatheInside your arms'Cause if you're gonna leaveBetter leave, better do it fastCan't live another minuteBleeding from my back'Cause I don't have another oneFor you to stabAnd I don't want to haveAnother heart attackOh I can't beYour lover on a leashEvery other weekWhen you pleaseOh, I can't beThe kiss that you don't needThe lie between your teethThe cut that always bleedsThe cut that always bleedsBut even though you're killing meI, I need you like the air I breatheI need, I need you more than meI need you more than anythingPlease, please'Cause I could beYour lover on a leashEvery other weekWhen you pleaseOh, I could beAnything you needAs long as you don't leaveThe cut that always Which story premise is the most clearly a classic tragedy? How does the spacing of the words and lines of Latin and soul help convey the meaning A: it illustrates that the speaker wants distance from music B: it emphasizes that the speaker experiences music as a powerful force C: it shows the music helps the speaker forgetD: it explains that music makes the speaker feel helpless Question 2 of 10What is Sandra Cisneros's most famous book?A. The Joy Luck ClubB. The House on Mango StreetC. Little WomenD. The Lone Ranger and Tonto Fistfight in HeavenSUBMIT HELP ME ASAP PLEASEEEE What are some common measurements that are given as a rate?