Runner A is initially 5.7 km west of a flagpole and is running with a constant velocity of 8.8 km/h due east. Runner B is initially 4.2 km east of the flagpole and is running with a constant velocity of 7.6 km/h due west. How far are the runners from the flagpole when their paths cross? Answer in units of km.

Answers

Answer 1

Answer:

0.39 km west

Explanation:

The position of Runner A is:

x = -5.7 + 8.8 t

The position of Runner B is:

x = 4.2 − 7.6 t

When the positions are equal:

-5.7 + 8.8 t = 4.2 − 7.6 t

16.4 t = 9.9

t = 0.604

Plug into either equation to find the position at this time:

x = -5.7 + 8.8 (0.604)

x = -0.39

The runners are 0.39 km west of the flagpole when they meet.


Related Questions

A car starts from rest a stoplight and is traveling with a velocity of 10 m/s east in 20 seconds. What is the acceleration of the car?

Answers

[tex]a = \frac{v - v 0}{t} [/tex]

[tex]a = \frac{10 - 0}{20} [/tex]

[tex]a = \frac{10}{20} = \frac{1}{5} = 0.2[/tex]

a = 0.2 m/s²

What happens when a car that weighs 300 lbs. driving at speeds of 80 mph collides with a bystander that weighs 180 lbs.

Answers

Answer:

Basically, at these speeds, the car will, at random times, swerve a bit to one side or the other as if hit by some huge wind (even on the calmest of days). It doesn't happen at slower speeds driving mechanically identical cars, managed to accelerate to a formidable 150 mph and stay there for most of the journey, shifting to higher gears and remaining.

Hope this helped you!

Explanation:

differences between work against friction and work against gravity.

Answers

Friction is the force that is resisting the motion of an object so it will always point in the opposite direction of that of movement. ... The force of gravity points downwards . So when you do work against gravity it means that the force acting on that object points in the upward direction .

Explanation:

hope this would be the right answer

HOPE THIS HELPS YOU.......

When is elastic potential energy stored and when is it released in: a toy glider launcher the elastic cords or springs beneath a sun-lounger a diving board?

Answers

Answer:

Explanation:

Assuming a toy glider works on a spring potential energy is stored when the spring(launcher) is fully compressed..and is released when the spring is released.

Potential Energy is stored when the diver has stepped on the board, and the board is at the bottom of its movement, and is released when the diver jumps off.

The word
means big enough to be seen with the eye.

macroscopic
organic
artificial
microscopic

Answers

macroscopic : visible to the naked eye; not microscopic.
relating to large-scale or general analysis.

Answer:

Macroscopic

Explanation:

Visible to the human eye. Does not need any form of magnification.

In lightning , light is seen first and sound is heard later it is due to
1)optical illusion
2) variation in temperature
3) position of observer
4) difference of velocities of light and sound​

Answers

Answer:

option 4

Explanation:

Light's velocity in air ( 3 × 10^8 m/s ) is much greater than sound's velocity in air ( 343 m/s )

Hence due to difference in velocities , during lightning light is seen first & sound is heard later

#4 is the correct answer !! :)))

Facing an imminent frontal collision, you want to reduce the force of impact to minimize damage and injuries. How can you reduce the force of impact?

Answers

Answer

The driver should reduce the speed or velocity of vehicle

because momentum which is

Mass x velocity will be reduced if velocity reduces and reduce force if impact

a) A student performs an experiment and plots the V-I graph of series and parallel combination
of two resistors. Which graph represents series combination of resistors? Justify your answer.

b) Define joules law of heating
c) 100 J of heat are produced each second in a 42 resistance. Find the potential difference
across the resistor.

Answers

Answer:

b) Joule's law is that the heat evolved per second, or the electric power loss, P, equals the current I squared times the resistance R, or P = I2R. The power P has units of watts, or joules per second, when the current is expressed in amperes and the resistance in ohms.

Explanation:

c) P= v2÷R

PR=V×V= 100×42=4200

v=sqroot 4200= 64.8volts

A car starts from rest a stoplight and is traveling with a velocity of 10 m/s east in 20 seconds. What is the acceleration of the car?

Answers

Answer:

a = 0.2 m/s²

i sent u explanation before ...

what does the process skill measuring mean?

Answers

Answer:

Process Skills: Observing - using your senses to gather information about an object or event. It is description of what was actually perceived. using standard measures or estimations to describe specific dimensions of an object or event

Explanation:

i hope this isnt confusing

This is the most basic skill in science. Observations are made by using the 5 senses. Good observations are essential in learning the other science process skills.

Examples:

The learner will be blind folded and make observations using the sense of touch.

The learner will create observations about a coin using the 5 senses.

The learner will mix primary colors to create more colors.

identify two kinda of data the student will likely collect during his experiment

Answers

What type of experiment did the student in the passage perform? How do you know? Did your answer include all of these points? It was a controlled experiment.

What change should be expected in the velocity of a body to maintain the same
kinetic energy, if its mass is increased sixteen times? How?​

Answers

Answer:

firstly,

ke=1÷2mv^2

on putting same ke by increasing mass by 16 times new velocity becomes v'

then

ke=1÷2×16m×v'^2

from above we can write

1÷2mv^2=1÷2×16m×v'^2

v^2=16v'^2

1÷4v=v'

hence original velocity should be decreased by 4 times to keep same ke

PLZ HELP ME 50 POINTS AND BRAINLEIST TO FIRST PERSON Give an example of the strong surface tension exhibited by water

Answers

Answer:

Water striders have strong intermolecular forces on their legs which enables them to run on water.

Starting at point 0, you travel 500 m on a straight road that slopes upward at a constant angle of 5 degrees. What is your height above the starting point? Answer in meters to the nearest centimeter

Answers

Answer:

43.58 m

Explanation:

If you travel 500 m on a straight road that slopes upward at a constant angle of 5 degrees

Using trigonometry ratio

Sin 5 = opposite/hypothenus

Where the hypothenus = 500m

Opposite = height h

Sin 5 = h/500

Cross multiply

500 × sin 5 = h

h = 500 × 0.08715

h = 43.58m

Therefore, the height above the starting point is equal to 43.58m

PLEASE HELP ITS DUE IN 30 minutes!!! which two statements explain why a student standing at the top of a step stool doesnt move downwards

Answers

Answer:

i think it is c and b

Explanation:

Answer:

The correct answer is option b and c.

The driver of a car traveling at a speed of 27 m/s slams on the brakes and comes to a stop in 3 s. If we assume that the speed changed at a constant rate (constant net force), what was the average speed during this 3 s interval

Answers

Answer:

Average speed = 13.5 m/s

Explanation:

Since the car is running at a speed of 27 m/s  and it stops after 3 seconds by applying the brake. Therefore, the initial speed of the 27 m/s and final speed is 0.

Use below formula to find the average speed :

Average speed = (Initial speed + final speed ) / 2  

Average speed = (27 + 0 ) / 2

Average speed = 13.5 m/s

The function of a body part depends upon the way it is constructed. The branch of medical science called considers the functions of anatomical parts, whereas describes the form and organization of body parts.

Answers

Answer:

. The branch of medical science called PHYSIOLOGY considers the functions of anatomical parts, whereas ANATOMY describes the form and organization of body parts.

Explanation:

THIS is because Anatomy the branch of life studyconcerned with the study of the structure of organisms and their parts

Whilw physiology studies the functioning of these parts

The branch of medical science that considers the functions of anatomical parts is called physiology, whereas anatomy describes the form and organization of body parts.

Physiology is the study of how body parts function and work together to maintain life processes and perform specific tasks. It focuses on the mechanisms and processes that underlie bodily functions, such as digestion, circulation, and muscle contraction.

On the other hand, anatomy is concerned with the structure, shape, and organization of body parts, including organs, tissues, and cells.

Together, anatomy and physiology provide a comprehensive understanding of the human body and its intricate workings, helping medical professionals diagnose and treat illnesses and maintain overall health.

Therefore, The branch of medical science that considers the functions of anatomical parts is called physiology.

To know more about the physiology:

https://brainly.com/question/30063255

#SPJ3

A ball is thrown straight up with an initial velocity of 6.4 m/s. It travels for 0.64 seconds, and has a change of position of 2.05 meters. What is the ball’s final velocity?

Answers

Answer:

V = 0.9 m/s

Explanation:

The parameters given are:

Initial velocity U = 6.4 m/s

Time t = 0.64s

Height h = 2.05 m

To find the final velocity, let us use third equation of motion

V^2 = U^2 - 2gH

Since the ball is going upward, g will be negative

Substitute all the parameters into the formula

V^2 = 6.4^2 - 2 × 9.8 × 2.05

V^2 = 40.96 - 40.18

V^2 = 0.78

V = sqrt( 0.78)

V = 0.883 m/ s

V = 0.9 m/ s approximately

Physical system
What happens when you drop a book
Why does it fall on the floor
Why doesn't it rise higher in the air

Answers

Answer:

this happens because there is gravitational force acting upon it.

Answer:

The book will fall when you drop it and make a thud, It falls on the floor because there is no force holding it up, but there is a force pulling it down, the gravitational force. It doesnt rise higher in the air because It does have lighter like the properties of a balloon.

Explanation:

How fast is a car going in m/5 if speedometer reads 45 miles?

Answers

Answer:

i think you would have to divide to 2 numbers to get the sum

Explanation:

what aspect of the gas planets has the biggest effect on their rings and satilites.

Answers

Answer:

Explanation:gravity

.

Answer:

Gravity

Explanation:

Gravuty aspect of the gas giants has the biggest effect on their rings and satellites.

force of earth is 6 into 10 to the power 24 Kg 1 kg-iii 6.4 find the force​

Answers

Answer:

Explanation:

Here is the answer---

Given Conditions ⇒

Mass of the Earth(m₁) = 6 × 10²⁴ kg.

Mass of the Moon(m₂) = 7.4 × 10²² kg.

Distance between the Earth and the Moon(d) = 3.84 × 10⁵ km.

= 3.84 × 10⁸ m.

Gravitational Constant(G) = 6.7 × 10⁻¹¹ Nm²/kg².

Using the Newton's law of Gravitation,

F = G × m₁×  m₂ × /d².

F is the Force of Gravitation between the Earth and the Moon.

Substituting the Given Values in the Formula,

∴ F = (6.7 × 10⁻¹¹ × 6 × 10²⁴ × 7.4 × 10²²) ÷ (3.84 × 10⁸)²

⇒ F = (6.7 × 6 × 7.4 × 10¹⁹) ÷ (14.7456)

⇒ F = 20.1741 × 10¹⁹ N.

⇒ F ≈ 20.2 × 10¹⁹ N.

Thus, the Gravitational Force of Attraction between the Earth and the Sun is 20.2 × 10¹⁹ N.

which one of the following is radical?
a.NH4+
b.CUSO4
c.CH4
d.NH3​

Answers

Answer:

The unit that is a radical among the options is;

a. NH₄⁺

Explanation:

A radical is an atom, group of atoms molecule or ion that contains an electron that is unpaired. The presence of the unpaired electrons make radical very reactive as such most radicals enter into reactions with other species or with themselves to form new compounds making them not last long.

Radicals are also known as free radicals. Examples of radicals includes; Ammonium ion, NH₄⁺

Nitrate ion NO₃⁻ (From a salt)

Hydroxide ion OH⁻ (From a base)

Sulphate ion SO₄²⁺ (From an acid)

All of which are formed in aqueous solution of acids, salts and bases.

Which term best describes how fast and in what direction an object is moving at a particular moment? Question 2 options: acceleration average velocity position instantaneous velocity

Answers

Answer:

Instantaneous velocity

Explanation:

Acceleration = rate of change of velocity

Average velocity = total displacement divided by total time taken

Position = It shows the location of the object

Instantaneous velocity = It is the velocity of an object at a particular instant.

The term that describes how fast and in what direction an object is moving at a particular moment is "instantaneous velocity". It is basically equal to the derivative of position wrt time.

what a measurement standard is defined as?

Answers

Answer:

Measurement is the competion of known quantity to unknown quantity.

Explanation:

I hope that it will be right answer

Answer:

Measurement standard is relationship of a physical quantity.

Explanation:

Measurement standard is the fundamental reference and measuring the compared the device, these reference is controlled to the objects conditions to the physical quantity.

Measurement standard are international and perfect master standard and they can not used to the general purpose, there are following categories are:-(1) primary standards (2) secondary standard (3) working standard.(1) primary standard is also known as the master standard to the careful conditions, they are used to the long internals only and they compare to the secondary standard.(2) Secondary standard is also known as the primary standard these type of standard are compared to the regular intervals, and distribute to the safe custody.(3) Working standard is also used to the workshop and laboratories by the worker these are to used in the materials reduce cost.Measurement standard is the need of working to the standards in based to the international standard system.

why is gravity only on earth?

Answers

Answer:

Gravity is not just found in earth. It is an attractions which can occur in any objects in the universe.The difference is just on less and more gravity.

How does the hypothesis help inform the design of an experiment

Answers

Answer: Hypotheses, which are proposed explanations for scientific observations, help us properly design experiments because experiments are used to test those hypotheses. Experiments are designed based on the measurable variables defined in a given hypothesis.

Explanation: Make a list of all potential hypotheses to be tested. For each hypothesis, ask what would be true if the hypothesis were true. The experimental procedure is a step-by-step recipe for the science experiment. A good procedure contains enough detail that someone else could easily duplicate the experiment.

Hope this helps^^

why it is important to convert units prior to calculation?

Answers

It's not. What it is, often, is easier.

You should know by now that you need to be working with a consistent set of units. This means that your unit for velocity is your unit for length divided by your unit for time…and your unit for acceleration is your unit for velocity divided by your unit for time…and your unit for force is your unit for acceleration multiplied by your unit for mass…and your unit for energy is your unit for force multiplied by your unit for length…and your unit for power is your unit for energy divided by your unit for time…and so on.

In this way, your calculations will automatically yield answers in the correct units.

SI makes things very easy because of everything being consistent and base 10 with the metric prefixes. It also was standardized nicely from the start. It also is based upon a number of important physical constants…so, for example, water at room temperature is about 1g/cc and it has a a specific heat of 1 calorie per gram and 100 degrees between freezing and boiling.

These days, all other systems of measurement are based on SI units, anyway, so you'll be hard pressed to find a better and easier system to work with.

if you measure a 5cm line with a ruler that is marked off in 0.1 cms, how many digits should the measurement have?

Answers

Answer:

3 digits .

Explanation:

The least count of the ruler that is being used is 0.1 cm , hence it can measure upto one decimal point of cm . One more decimal point can be inferred .

So the measurement of 5 cm will look like

5 .00 cm or it will have 3 significant figure . The last figure of the measurement suffers from error as it has been inferred or guessed.

the temperature of two bodies differ by 1°c. how much will they differ in Fahrenheit?​

Answers

Answer:

the answer is 1.8°f...

Answer:

33.8 degrees.

Explanation:

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