Joseph jogs from one end A to the other end B of a straight 300 m road in 2 minutes 30 seconds and then turns around and jogs 100 m back to point C in another 1 minute. What are Joseph's average speeds and velocities in jogging (a) from A to B and (b) from A to C?​

Answers

Answer 1

Answer:

Explanation:

(a) It is given that Joseph jogs on a straight road of 300m in a time interval of 2 minutes and 30 seconds, which is equal to 150seconds. Therefore, when Joseph jogs from point A to point B, he covers a distance of 300m in time of 150seconds. Hence, his average speed is 300m/150s=2ms^−1. Since it is a straight road and he jogs in a single direction in this case, his displacement is equal to 300m. Since it is a straight road and he jogs in a single direction in this case, his displacement is equal to 300m.

Hence, his average velocity is 300m/150s=2ms^−1

(b) Then it is given that he turns back and points B and jogs on the same road but in the opposite direction for a time interval for 1 minute and covers a distance of 100m.If we consider the whole motion of Joseph, i.e. from point A to point C, then he covers a total distance of 300m+100m=400m. And he covers this total distance in a time interval of 2.5min+1min=3.5min=210s.

Therefore, his average speed for this journey is 400m210s=1.9ms−1.

For the same journey is displacement is equal to the distance between the points A and C,i.e. 300m−100m=200m.

Hence, his average velocity for this case is 200m/210s=0.95ms^−1


Related Questions

73Ge
32
has
neutrons.

Answers

It has 41 neutrons because 73 is sum of neutron number and proton number and we know that its proton number is 32 so you can just write 73-32 and it is equal to 41 neutrons

Astronauts train for space flight in a centrifuge,which consists of a rotating arm with a cab at the outer end of thearm. The arm, which has a length of 58 feet, is revolved about thecenter of the centrifuge. An astronaut sits in the cab, which is thenrotated 50 times per minute. To the nearest hundred feet, how fardoes the astronaut travel in one minute?

Answers

Explanation:

We know that,

[tex]v = rw[/tex]

Where, v = tangential velocity (m/sec)

r = radius = 17.67 m

w = angular velocity = 0.83 revs/ sec

v = 14.66 m/sec

Distance in one minute = 879.6 m

= 2885.82 feet

d. Write the symbol for the nucleus that completes each nuclear equation. (1 point each)

Answers

Answer:

Ra, 88

Ru, 44

Cr, 24

Explanation:

i

the remaining mass number is 224(228 - 4), and it's atomic number is 88(90 - 2). The element is Radium, Ra

ii

the remaining mass number is 98(98 - 0), and it's atomic number is 44(45 - 1). The element is Ruthenium, Ru

iii

The remaining mass number is 52(52 - 0), and it's atomic number is 24(23 - -1). The element is Chromium, Cr

This is actually an earth science question. What is the exact elevation of each point?

Answers

Answer:

A = 100m

B = 120m

C = 170m

D = 160m

E = 190m

F = 145m

G = 130m

H = 170m

I = 100m

J = 95m

K = 100m

Explanation:

A = 100m

B = 120m

C = 170m

D = 160m

E = 190m

F = 145m

G = 130m

H = 170m

I = 100m

J = 95m

K = 100m

The contour intervals are 10m apart, anything exactly between 2 contour lines is 5m, and the cut lines are depressions so insisted of going up they go down.

If you have a 200g sample of a radioactive isotope that has a half life of 50 years, hc
much will you have left at the end of 200 years?
a. 12.5 g
b. 100 g
c. 50 g
d. 25 g

Answers

Answer:

The correct option is;

a. 12.5 g

Explanation:

The given parameters are;

The initial mass of the radioactive substance = 200 g

The half life of the radioactive substance = 50 years

The time duration for the disintegration = 200 years

The formula for half life is given as follows;

[tex]N(t) = N_0 \left (\dfrac{1}{2} \right )^{\dfrac{t}{t_{1/2}}[/tex]

Where:

N(t) = Quantity of the remaining substance

N₀ = Initial radioactive substance quantity  = 200 g

t = Time duration  = 200 years

 

[tex]t_{1/2}[/tex] = Half life of the radioactive substance  50 years

Therefore, we have;

[tex]N(t) =200 \times \left (\dfrac{1}{2} \right )^{\dfrac{200}{50} } =200 \times \left (\dfrac{1}{2} \right )^4 = 12.5 \ g[/tex]

Therefore, at the end of 200 years, the quantity left = 12.5 g.

The mass of an object is 4kg and it has a density of 5gcm^-3. what is the volume ​

Answers

Answer:

density =   mass/ volume

5=4000/ volume

volume=4000/5

volume=800 cm^-3

What is a substance?
A. a uniform mixture that can't be separated
В.a mixture that can be separated
С. a single component that can't be separated
D. a single component that can be separated

Answers

Answer:

С. a single component that can't be separated

Explanation:

Substance : It is the pure form of matter or we can say that it is a matter that contains only one type of molecule of atom. It can not be separated by physical process.

For example : Water is a substance.

Mixture : It is a combination of different type of atoms or molecules and it is an impure form.

For example : Sodium chloride with water is a mixture.

Hence, the correct option is, (C) a single component that can’t be separated.

A substance is a single component that can't be separated by the physical process therefore the correct answer is option C.

What is a Chemical compound?

A chemical compound is a mixture of two or more chemical components, whether they are related or unrelated.

For instance, the molecular H2O is composed of one hydrogen atom and two oxygen atoms.

For instance, water is a material that cannot be physically divided yet may be separated using electrolysis.

Mixture: This impure form is made up of several different kinds of atoms or molecules.

A mixture is, for instance, sodium chloride and water.

As a result, (C), a single, irreducible component, is the right answer.

To learn more about a chemical compound here, refer to the link;

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given that the amplitude of the scattered light is (1) directly proportional to that of incident light (2) directly propotional to the volume of the scattering dust particles (3)inversely proportional to its distance from the scattering particles and (4) dependent upon the wavelength of the light. show that the intensity of scattered light varies as 1/wavelength^4

Answers

Answer:

The correct answers are 2, 4

Explanation:

The dispersion of light occurs due to the interaction of electromagnetic radiation with matter, let's analyze the phenomenon, when a ray of light reaches a particle is absorbed and subsequently re-emitted in all directions, for radiation of lower wavelength (higher frequency ) the highest absorptions and therefore the missionary also the highest; An example of this is the blue light from the atmosphere, which is the absorption of blue light and its subsequent re-emission

Based on this explanation, the dispersion in gas particles or molecules is proportional to the frequency of the light (inversely proportional to the wavelength) and is also proportional to the number of dispersing particles in the air, that is, to the total volume of the particles. dispersers.

The correct answers are 2 and 4

What is the function of a heart rate monitor?
O to monitor blood pressure
O to track abnormal heart rhythm
O to estimate VO2max
O to track how fast a heart beats

Answers

Answer:

O- to track how fast a heart beats

Explanation:

What is the goal of the scientific method

Answers

Answer:

Regardless of how the steps are documented, the goal of scientific method is to gather data that will validate or invalidate a cause and effect relationship.

Hope this helped!!!

An object is to be dropped from an aeroplane so as to hit a target on the ground. If the aeroplane is travelling horizontally at 80m/s at a height of 2000m, calculate the position of the aeroplane when the object is released​

Answers

Answer:

you live it will be around 23 to 82% angle

Explanation:

just think about yourself going in the high-speed and then jumping and then just think of all know that person just jumping without being going to high speed

Is there a way for us to control motion

Answers

Answer:

They are:

1) change position

2) distract yourself

3) Get fresh air

4) Face the direction you are going.

5) Drink water.

6) Play music.

7) Put your eyes on horizon.  

Explanation:

Hope it helps.

A magnifying glass uses a convex
lens of focal length 5.25 cm. When
it is held 5.00 cm in front of an
object, what magnification does it
create?
(Mind your minus signs.)
(Unit = cm)​

Answers

Answer:

The magnification of the lens is 21

Explanation:

Please see full answer in the attached image since the system kept on refusing to accept my typed answer complaining of bad use of words or presence of a link.

The magnification of the lens is m = 21

Answer:

its 21 for Acellus

Explanation:

prove that..
please help

Answers

[tex] \large{ \boxed{ \bf{ \color{red}{Universal \: law \: of \: gravitation}}}}[/tex]

Every object in the universe attracts every other object with a force which is proportional to the product of their masses and inversely proportional to the square of the distance between them. The forces along the line joining the centre of the two objects.

❍ Let us consider two masses m1 and m2 line at a separation distance d. Let the force of attraction between the two objects be F.

According to universal law of gravitation,

[tex] \large{ \longrightarrow{ \rm{F \propto m_1 m_2}}}[/tex]

Also,

[tex] \large{ \longrightarrow{ \rm{ F \propto \dfrac{1}{ {d}^{2} } }}}[/tex]

Combining both, We will get

[tex] \large{ \longrightarrow{ \rm{F \propto \dfrac{ m_1 m_2}{ {d}^{2}}}}} [/tex]

Or, We can write it as,

[tex] \large{ \longrightarrow{ \rm{F \propto \: G \dfrac{ m_1 m_2}{ {d}^{2} }}}}[/tex]

Where, G is the constant of proportionality and it is called 'Universal Gravitational constant'.

☯️ Hence, derived !!

━━━━━━━━━━━━━━━━━━━━

1.A particle is moving up an inclined plane. Its velocity changes from 15m/s to 10m/s in two seconds. What is its acceleration? *

Answers

[tex] \huge{ \underline{ \boxed{ \bf{ \blue{Solution:}}}}}[/tex]

Provided:-Initial velocity = 15 m/sFinal velocity = 10 m/sTime taken = 2 s

To FinD:-Accleration of the particle....?

How to solve?

We will solve the above Question by using equations of motion that are:-

v = u + ats = ut + 1/2 at²v² = u² + 2as

Here,

v = Final velocity u = Initial velocity a = acceleration t = time taken s = distance travelled

Work out:

By using first equation of motion,

⇛ v = u + at

⇛ 10 = 15 + a(2)

⇛ -5 = 2a

Flipping it,

⇛ 2a = -5

⇛ a = -2.5 m/s² [ANSWER]

❍ Acclearation is negative because final velocity is less than Initial velocity.

━━━━━━━━━━━━━━━━━━━━

Match the following:
Tailored software
. Utility software
Operating system
Software
Packaged software
Set of programs
Library management system
Scan viruses
Microsoft Office
used to coordinate the hardw
the computer​

Answers

Answer:

1) Tailored software  Library management system

2) Utility software Scan viruses

3) Operating system Used to coordinate the hardware of the computer

4) Packaged software set of programs Microsoft office

Explanation:

1) A tailored software, also known as a custom software, is one that is designed and tailor-made only for a particular organisation

2) A utility software is a computer maintenance and analysis software used to enable proper functioning of the computer by performing restorative and maintenance tasks

3) Operating system software

The operating system software controls the operation of the computer hardware within the system and enables the operation of other programs in the computer

4) Packaged software are a collection of programs that are oriented to perform interrelated tasks that a focused to a particular area, such as Microsoft Office.

A butterfly is flying around and its velocity(v) as a function of time(t) is given in the graph below where rightwards is the positive velocity direction. What is the butterfly's displacement x from t=2 to 4s? Answer with two significant digits.

Answers

Answer: 19 meters.

Explanation:

We want to find the total displacement between t = 2s and t = 4s.

To do it, we can integrate our function, first write our velocity equation.

for t ≤ 3s, we have a linear equation, let's write it:

A linear relationship can be written as:

y = a*t + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

Now we can see that our line passes through the points (1, 0) and (0, -2)

then the slope is:

a = (0 -(-2)/(1 - 0) = 2/1 = 2

and knowing that when t = 0s, v(0s) = -2m/s, then our equation is:

v(t) = (2m/s^2)*t - 2m/s for t ≤ 3s

now, for t ≥3s the equation is constant, v(t) = 4m/s.

then we have

v(t) = (2m/s^2)*t - 2m/s -------if t ≤ 3s

v(t) = 4m/s ----- if t ≥ 3s

Now we integrate over time to get the position:

for t ≤ 3s we have:

p(t) = (1/2)*(2m/s^2)*t^2 - 2m/s*t + C

where C is a constant of integration, as we are calculating the displacement  this constant actually does not matter, so we can use C = 0m

p(t) = (1m/s^2)*t^2 - 2m/s*t  for t ≤ 3s

and p(3s) =  (1m/s^2)*3s^2 - 2m/s*3s = 9m - 6m = 3m is the initial position of the other part of the function.

for t ≥ 3s we have:

p(t) = 4m/s*t + p(3s) = 4m/s*t + 3m

then the position equation is:

p(t) = (1m/s^2)*t^2 - 2m/s*t  ---- t ≤ 3s

p(t) = 4m/s*t + 3m --- if t ≥ 3s

Now the displacement will be:

p(4s) - p(2s) where for each time, you need to use the correct function:

p(4s) = 4m/s*4s + 3m = 16m + 3m = 19m

p(2s) =  (1m/s^2)*2s^2 - 2m/s*2s = 4m - 4m = 0m

p(4s) - p(2s) = 19m - 0m = 19m

The butterfly displacement x from t=2 to 4s is 19 meters.

What is displacement?

The spacing between two specified points is represented by the one-dimensional quantity of displacement (symbolised as d or s), commonly known as length or distance.

The total displacement between t = 2s and t = 4s.

Integrate our function, the velocity equation.

for t ≤ 3s, we have a linear equation, let's write it:

A linear relationship can be written as:

y = a x t + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

The line passes through the points (1, 0) and (0, -2)

The slope is:

a = (0 -(-2)/(1 - 0) = 2/1 = 2

When t = 0s, v(0s) = -2m/s, then our equation is:

v(t) = (2m/s²) x t - 2m/s for t ≤ 3s

now, for t ≥3s the equation is constant, v(t) = 4m/s.

v(t) = (2m/s²) x t - 2m/s -------if t ≤ 3s

v(t) = 4m/s ----- if t ≥ 3s

Now we integrate over time to get the position:

for t ≤ 3s we have:

p(t) = (1/2) x (2m/s²) x t^2 - 2m/s x t + C

where C is a constant of integration, to calculate the displacement  this constant actually does not matter,

p(t) = (1m/s²)*t^2 - 2m/s x t  for t ≤ 3s

and p(3s) =  (1m/s^2) x 3s² - 2m/s x 3s = 9m - 6m = 3m is the initial position of the other part of the function.

for t ≥ 3s we have:

p(t) = 4m/s x t + p(3s) = 4m/s x t + 3m

then the position equation is:

p(t) = (1m/s^2) x t² - 2m/s x t  ---- t ≤ 3s

p(t) = 4m/s x t + 3m --- if t ≥ 3s

Now the displacement will be:

p(4s) - p(2s) where for each time, you need to use the correct function:

p(4s) = 4m/s x 4s + 3m = 16m + 3m = 19m

p(2s) =  (1m/s²) x 2s²- 2m/s x 2s = 4m - 4m = 0m

p(4s) - p(2s) = 19m - 0m = 19m

Thus, the displacement is 19 m.

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calculate the mass of an ice block of volume 12m³. the density of the ice is 920kg/m³.​
somebody help please

Answers

Mass = density • volume

so (12)(920)(kg/m^3•m^3)

11040 kg

Help uhh i need to know this answer

Answers

Answer:

Explanation:

2. 330.63 ft because v*t=d and 3.09*107=330.63

3. 4.2 because 10/2.4=4.1666

4. 130 miles because 2 hours times 65mph= 130

5. 62.3 seconds because 480000/7700=62.33766233

8. 60 meters, because 0.5 *120 (because 2 minutes converted to seconds is 120) is equal to 60.

Can someone explain how the weight of the block is 10.26N, with reference to an appropriate law of motion?

Answers

this process is called parellelogram method of resolving vectors.

What evidence supported the inflation theory? (the big bang theory one pls)

Answers

Answer:

The comic microwave background

Explanation:

The cosmic microwave background is said to be part of the remnant of the Big Bang that happened which resulted in the formation of the universe. This is because the universe was thought to be a very hot place which resulted in the expansion of it.

The heat was said to have resulted in the cooling of gases present and the remnant of the heat is what formed the radiation called the cosmic wave background.

Is it (P)otential or (K)inetic energy

Answers

Answer:

Think of it like this potential energy is exactly what it sounds like it has potential. while kinetic energy which is what the body possesses by virtue of being in motion.

Explanation:

A person holds a 25 kg (250 newton) bag of cement over his head and moves it a distance of 10 m, taking 2 minutes, while another person carries it on a wheelbarrow that same distance, taking 1 minute.Who does more work ? What is the power of each person?

Answers

Explanation:

Assuming the 10 m distance is the vertical displacement, the work done by both people is the same.

Work = force × distance

W = (250 N) (10 m)

W = 2500 J

The power of the first person is:

Power = work / time

P = 2500 J / 120 s

P = 20.83 W

The power of the second person is:

P = 2500 J / 60 s

P = 41.67 W

Matter is anything that has mass and takes up
space.
Which of the following is an example of
matter?
A. ear phones
B. music
C. sunlight
D. heat

Answers

Answer: ear phones

Explanation:

You can physically hold ear phones, but you can't hold music, sunlight, or heat.

The answer is Earphones because the other options aren’t a solid thing.

when you are riding a swing it means the swing is at rest. (true/false)​

Answers

Answer:

Answer is false

Explanation:

may this answer is helpful for you

Explain the structure of a clinical thermometer​

Answers

Explanation:

a clinical thermometer is a thermometer used to measure human body temperature. mostade in the 20th century are mercury-in-glass thermometer. they ate accurate and sensitive having a narrow place where the mercury level rises very fast. a kink in the tube stops the mercury level from falling on its own.

hope it helps you

A screen is separated from a double-slit source by a distance L. When light of wavelength 563 nm is incident on the double slit, the separation distance between adjacent bright fringes on the screen is 0.0290 mm. When instead, 500 nm light is used, what is the separation distance (in mm) between adjacent bright fringes

Answers

Answer:

β 2 = 0.02575 mm

Explanation:

given data

wavelength = 563 nm

separation distance between adjacent bright fringes =  0.0290 mm

wavelength = 500 nm

solution

we get here separation distance between adjacent bright fringes that is express as

β = [tex]\frac{\lambda D }{d}[/tex]    ..................................1

here D is distance from plane of slit to screen

and d is slit sepation that is constant

so

[tex]\frac{\beta 1}{\beta 2} = \frac{\lambda 1}{\lambda 2}[/tex]  

β 2 = [tex]\frac{500}{563} \times 0.0290[/tex]  

β 2 = 0.02575 mm

why should we change worn out tyres​

Answers

Answer:

Your vehicle's tires work hard every time you go on the road. As they age, they become more and more worn down, especially if you use the same set of tires year round. As a result, your tires will need to be replaced. ... If you are driving on a dirt road, or one that is worn, chances are you will feel vibrations.

Convert 60 kg to mg using the method of dimensional analysis

Answers

600,000

PLEASE MARK AS BRAINLIEST ANSWER

Determine the gradient and the co-ordinates of the x and y intercept of line whose equation is 2y + 3x = 1​

Answers

Answer:

The x - intercept is 1/3

The y - intercept is 1/2

The gradient is -3/2

Explanation:

To find the x - intercept of the equation 2y + 3x = 1, we find the value of x when y = 0. So,

2y + 3x = 1

2(0) + 3x = 1

0 + 3x = 1

3x = 1

x = 1/3

So, the x - intercept is 1/3

To find the y - intercept of the equation 2y + 3x = 1, we find the value of y when x = 0. So,

2y + 3x = 1

2y + 3(0) = 1

2y + 0 = 1

2y = 1

y = 1/2

So, the y - intercept is 1/2

To find the gradient of the equation 2y + 3x = 1, we re-write it in gradient intercept form by making y subject of the formula.

So, 2y + 3x = 1

2y = -3x + 1

y = -3x/2 + 1/2

The coefficient of x which equals -3/2 is the gradient.

The gradient is -3/2

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