A bicyclist makes a trip that consists of three parts, each in the same direction (due north) along a straight road. During the first part, she rides for 26.8 minutes at an average speed of 7.57 m/s. During the second part, she rides for 42.4 minutes at an average speed of 3.17 m/s. Finally, during the third part, she rides for 9.69 minutes at an average speed of 15.0 m/s. (a) How far has the bicyclist traveled during the entire trip

Answers

Answer 1

Answer:

(a) She has traveled a total distance of 28958.04 m during the entire trip.

(b) Her average velocity for the trip is 6.12 m/s

Explanation:

Here is the complete question:

A bicyclist makes a trip that consists of three parts, each in the same direction (due north) along a straight road. During the first part, she rides for 26.8 minutes at an average speed of 7.57 m/s. During the second part, she rides for 42.4 minutes at an average speed of 3.17 m/s. Finally, during the third part, she rides for 9.69 minutes at an average speed of 15.0 m/s. (a) How far has the bicyclist traveled during the entire trip?  (b) What is her average velocity for the trip?

Explanation:

(a) To determine how far the bicyclist has traveled during the entire trip, we will calculate the distance she covered in each part of the trip, and then sum up the distances to determine the total distance covered.

First, The distance covered in the first part of the trip

During the first part, she rides for 26.8 minutes at an average speed of 7.57 m/s

That is,

Average speed, [tex]v[/tex] = 7.57 m/s

and time, [tex]t[/tex] = 26.8 minutes

Convert the time to seconds

∴ [tex]t[/tex] = 26.8 minutes = (26.8 × 60) secs = 1608 secs

[tex]Average speed = \frac{Distance }{ Time}[/tex]

Then, [tex]Distance = Average speed[/tex] × [tex]Time[/tex]

Hence, for the first part

[tex]Distance = 7.57[/tex] × [tex]1608[/tex]

[tex]Distance = 12172.56[/tex] m

This is the distance covered in the first part of the trip.

For the distance covered in the second part of the trip

During the second part, she rides for 42.4 minutes at an average speed of 3.17 m/s

That is, Average speed, [tex]v[/tex] = 3.17 m/s

and time, [tex]t[/tex] = 42.4 minutes

Convert the time to seconds

∴ [tex]t[/tex] = 42.4 minutes = (42.4 × 60) secs = 2544 secs

From,

[tex]Distance = Average speed[/tex] × [tex]Time[/tex]

[tex]Distance = 3.17[/tex] × [tex]2544[/tex]

[tex]Distance = 8064.48[/tex] m

This is the distance covered in the second part of the trip.

For the distance covered in the third part of the trip

During the third part, she rides for 9.69 minutes at an average speed of 15.0 m/s

That is, Average speed, [tex]v[/tex] = 15.0 m/s

and time, [tex]t[/tex] = 9.69 minutes

Convert the time to seconds

∴ [tex]t[/tex] = 9.69 minutes = (9.69 × 60) secs = 581.4 secs

From,

[tex]Distance = Average speed[/tex] × [tex]Time[/tex]

[tex]Distance = 15.0[/tex] × [tex]581.4[/tex]

[tex]Distance = 8721[/tex] m

This is the distance covered in the third part of the trip.

Now for the distance covered during the entire trip,

Total distance = distance covered in the first part of the trip + distance covered in the second part of the trip + distance covered in the third part of the trip

Hence,

Total distance = 12172 m + 8064.48 m + 8721 m

Total distance = 28958.04 m

Hence, she has traveled a total distance of 28958.04 m during the entire trip.

(b) For her average velocity for the trip

Average velocity is given by

[tex]Average velocity = \frac{Total distance traveled}{Total time}[/tex]

Total distance traveled = 28958.04 m

Total time = 1608 secs + 2544 secs + 581.4 secs

Total time = 4733.4 secs

Hence,

[tex]Average velocity = \frac{28958.04}{4733.4}[/tex]

Average velocity = 6.1178 m/s

Average velocity ≅ 6.12 m/s


Related Questions

name the regions in which parenchyma tissue is present​

Answers

The parenchyma is widely distributed in plant body such as stem , roots, leaves, flowers and fruits. The parenchyma tissue is found in the soft parts of the plants such as cortex of roots, ground tissue in stems & mesophyll of leaves. It is also distributed in pith , medullary rays & packing tissue in xylem and phloem. They forms the bulk of the plant body they are living and possesses the power of their division. Parenchyma cells have living Protoplasm.

The main function of parenchyma is to store an assimilate food. Parenchyma serves as food storage tissue.

Please help ASAP! Thank you :)
The earth's orbit is oval in shape. Explain how the magnitude of the gravitational force between the earth and the sun changes as the earth moves
from position 'A' to 'B' as shown in the figure.​

Answers

Answer:

magnitude of gravitational force between the Earth and the Sun at B is greater than that at A

Explanation:

Formula of gravitational force:

F = GMm/r^2

(r is the distance between 2 objects)

We see that r(B) < r(A) since at B, the Earth is closer to the Sun than at A

According to the Formula, the smaller r is, the greater F is

So, F(B) > F(A)

Select all the correct locations on the image. Select the volume units that are greater than one liter.

Answers

Answer:

N/A

Explanation:

No Image provided

Answer:

there is no picture to help us help you get the answer so please put up a picture.

Explanation:

30 POINTS
A graph of velocity versus time for an object shows a straight line with positive slope. What does that indicate about the acceleration of the object?

- the acceleration is changing
- the acceleration is zero
- the acceleration is constant and positive

Answers

Answer:

B

Explanation:

Answer:

c. the acceleration is constant and positive

Explanation:

A racecar traveling at a velocity of 18.5 m/s, accelerates at a rate of 2.47 m/s2 and covers a distance of 79.78 m. Determine the final velocity of the racecar.

Answers

Answer:

The final velocity of the race car is 27.14 m/s

Explanation:

Given;

initial velocity of the race car, u = 18.5 m/s

acceleration of the race car, a = 2.47 m/s²

distance covered by the race car, s = 79.78 m

Apply the following kinematic equation to determine the final velocity of the race car.

v² = u² + 2as

v² = (18.5)² + 2(2.47)(79.78)

v² = 736.363

v = √736.363

v = 27.14 m/s

Therefore, the final velocity of the racecar is 27.14 m/s

In system A, momentum changes at twice the rate of the momentum system B. Which statement is correct about systems A and B?(1 point)

The impulse of the collision in system A is half the impulse of the collision in system B.
The force of the collision in system A is twice the force of the collision in system B.
The force of the collision in system A is half the force of the collision in system B.
The impulse of the collision in system A is twice the impulse of the collision in system B.

Answers

Answer:

The impulse of the collision in system A is twice the impulse of the collision in system B. (Last choice)

Explanation:

I just took the quick check and got it wrong for putting what the other person put, which I should've gone with my first choice. The answer above is correct. I really hope this helps!

The correct statement about systems A and B is ; ( D ) The impulse of the collision in system A is twice the impulse of the collision in system B

Momentum is a product of the mass and velocity of particles in motion while impulse is the rate of change of the momentum of particles/objects when a force acts on the object.

The momentum of a particle is proportional to its impulse therefore as momentum in system A changes at twice the rate of change of the momentum in system B the impulse of the collision in system A is also twice the impulse of the collision in system B

Hence we can conclude that The correct statement about systems A and B is The impulse of the collision in system A is twice the impulse of the collision in system B

Learn more : https://brainly.com/question/20182620


The weightlifter's internal store of energy decreased when he lifted the bar.
The bar's internal store of energy increased by a smaller amount.
Explain why.

Answers

Answer:

The energy returns to the weightlifter's muscles, where it is dissipated as heat.

Explanation:

The energy returns to the weightlifter's muscles, where it is dissipated as heat. As long as the weightlifter controls the weight's descent, their muscles are acting as an overdamped shock absorber, as if the weight were sitting on a piston containing very thick fluid, slowly compressing it downward (and slightly heating up the fluid in the process). Since muscles are complicated biological systems and not simple pistons, they require metabolic energy to maintain tension throughout the controlled descent, so the weightlifter feels like they're putting energy into the weight, even though the weight's gravitational potential energy is being converted into heat within the lifter's muscles.

k=1/2kx^2

find the value of X

Answers

Answer:

x=± 2

=±1.4142

x=0

Explanation: If this does not help then I'm sorry.

STEP

1

:

           1

Simplify   —

           2

Equation at the end of step

1

:

        1

 k -  ((— • k) • x2)  = 0  

        2

STEP

2

:

Equation at the end of step 2

      kx2

 k -  ———  = 0  

       2  

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  2  as the denominator :

         k     k • 2

    k =  —  =  —————

         1       2  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

k • 2 - (kx2)     2k - kx2

—————————————  =  ————————

      2              2    

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  2k - kx2  =   -k • (x2 - 2)  

Trying to factor as a Difference of Squares:

4.2      Factoring:  x2 - 2  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 2 is not a square !!

Ruling : Binomial can not be factored as the difference of two perfect squares.

Equation at the end of step

4

:

 -k • (x2 - 2)

 —————————————  = 0  

       2      

STEP

5

:

When a fraction equals zero

5.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 -k•(x2-2)

 ————————— • 2 = 0 • 2

     2    

Now, on the left hand side, the  2  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  -k  •  (x2-2)  = 0

Theory - Roots of a product :

5.2    A product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

5.3      Solve  :    -k = 0  

Multiply both sides of the equation by (-1) :  k = 0

Solving a Single Variable Equation:

5.4      Solve  :    x2-2 = 0  

Add  2  to both sides of the equation :  

                     x2 = 2

 

When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:  

                     x  =  ± √ 2  

The equation has two real solutions  

These solutions are  x = ± √2 = ± 1.4142  

 

Three solutions were found :

x = ± √2 = ± 1.4142

k = 0

Terms and topics

The atmospheric pressure above a swimming pool changes from 837 to 842 mm of mercury. The bottom of the pool is a rectangle (10 m ⨯ 25 m). By how much does the force on the bottom of the pool increase?

Answers

Answer:

Change in force = 1.66 × 10⁵ N

Explanation:

Given:

Initial pressure = 837 mmHg

Final pressure = 842 mmHg

Rectangle (10 m ⨯ 25 m)

Find:

Change in force

Computation:

Change in force = (Change in pressure)(Area)(133 pa / 1 mmHg)

Change in force = (842 - 837)(10 m ⨯ 25 m)(133 pa / 1 mmHg)

Change in force = (166,250)

Change in force = 1.66 × 10⁵ N

Please I need your help so fast plsss

Answers

The answer is C, because energy is always conserved. Please rate this as the brainlist if this helped, thanks!!

4,000 hg + 5,000 g = ____________ g?

Answers

Answer:

405000 g

Explanation:

1hg(hectogram)=100g

Therefore,

400000g+5000g=405000 g

If an 8000 kg truck and and a 2000 kg car are moving with the same velocity, which one will have more kinetic energy? why?​

Answers

Answer: sure the truck with 8000 kg mass

Explanation: use the rule: ke=1/2mv^2

The weight of an object is the product of its mass, mmm, and the acceleration of gravity, ggg (where g=9.8 m/s2g=9.8 m/s2). If an object’s mass is m=10. kgm=10. kg, what is its weight? Express the weight with the appropriate units.

Answers

Answer:

98 N

Explanation:

Given that

Mass m = 10 kg

Acceleration due to gravity g = 9.8m/s^2

Where the weight of an object is the product of its mass, and the acceleration of gravity. That is,

W = mg

Substitute all the parameters into the formula

W = 10 × 9.8

W = 98 N

Therefore, the weight of the object is 98 Newton

how could the student estimate the average speed in the first 8 hours

Answers

Answer:

use this formula

Average Speed = (Total distance)/(Total Time) =

Technician A says that the kinetic energy of a vehicle is proportional to its weight. Technician B says that the kinetic energy of a moving vehicle is directly proportional to its speed. Which technician is correct

Answers

Answer:

Technician B

Explanation:

The kinetic energy of an object is possessed when it is in motion. It is given by :

[tex]K=\dfrac{1}{2}mv^2[/tex]

m is mass, v is speed

The kinetic energy is directly proportional to its speed. It does not depend on its weight. It would mean that Technician B is correct as he says that "the kinetic energy of a moving vehicle is directly proportional to its speed".

QUESTION 1
67.2 kilometers = how many decameters

Answers

Answer: the answer should be 6,720 decameters.

Answer:

67.2 kilometers =6720 decamaters


What is the name of the force that is acting upwards on the bag of bananas?

Answers

ANSWER- I GUESS IT SHOULD BE GRAVITATIONAL FORCE.......

Answer:

GRAVITATIONAL FORCE

An airplane flying due north at 90 km/h is being blown due west. The planes total velocity is 103 km/ hr north west. What is velocity of the wind?

Answers

Answer:

50.09 km/h

Explanation:

Given that an airplane flying due north at 90 km/h is being blown due west. The planes total velocity is 103 km/ hr north west.

What is velocity of the wind ?

The wind velocity can be calculated by using pythagorean theorem.

From the question,

Resultant Velocity R = 103 km/h

Plane velocity P = 90 km/h

Wind velocity W = ?

W^2 = R^2 - P^2

Substitutes all the parameters into the formula

W^2 = 103^2 - 90^2

W^2 = 10609 - 8100

W^2 = 2509

W = sqrt ( 2509 )

W = 50.09 km/h

Therefore, the velocity of the wind is 50.09 km/h

What would happen to an object that is moving towards the right at a constant speed when you put a force on it towards the left?

Answers

Answer & Explanation:

If the resultant force is zero, a moving object towards the right will stay at the same speed. If there is no resultant force then a system is said to be in equilibrium.

If the resultant force is not zero, due to a force towards left of a moving object will slow down - depending on the direction of the resultant force:

it will speed up if the resultant force is in the same direction as the object is moving

it will slow down if the resultant force is in the opposite direction

Please note that the object could also change direction, for example if the resultant force acts at an angle.

The statement “A chimpanzee’s diet in November consists of 16% insects” is an example of a(n)

Answers

Answer:

quantitive observation

quantitative observation is a data analysis that is objective. It measures research variables using numerics and statistics. It is a method of observation that views research variables in quantity, which is why the values can be counted in something like age, weight, volume, and scale.

When we get out of the bed on a very cold morning, we feel that the air of the room is cold. But when we come back after staying out for some time, we feel that the air of the same room is warmer. Why is this?

Answers

Answer:

This is because the air outside is always cooler than the air inside, so after staying outside your body adapts to the cold air, when you come back inside, the cold air is still in you which makes the room seem warmer.

What is the vertical acceleration of a paper airplane that is launched horizontally with an initial velocity of 2.3 m/s?

Answers

Answer:

The vertical acceleration is -9.81 m/s^2

Explanation:

When a body is projected, the body experiences an acceleration in the vertical axis that is proportional to the acceleration due to gravity of the earth, which is equal to 9.81 m/s^2. In this case, the acceleration acts to stop the vertical motion of the paper plane, and hence is a deceleration, which explains the negative vertical acceleration.

Answer:

A

Explanation:

For 1983 through 1989, the per capita consumption
of chicken in the U.S. increased at a
rate that was approximately linear. In 1983,
the per capita consumption was 37.1 pounds,
and in 1989 it was 50 pounds.
Write a linear model for per capita consumption
of chicken in the U.S. Let t represent
time in years, where t = 3 represents
1983. Let y represent chicken consumption in
pounds.

Answers

Answer:

y = 43.55 + 2.15t

Explanation:

We were told that in 1983, the per capita consumption was 37.1 pounds, and in 1989 it was 50 pounds.

If we assume t = 0 corresponds to year 1980. Then, for 1983 it will be t = 3 and for 1989,it will be t = 9.

Thus, expressing the information as ordered pairs, we have; (3,37. 1) and (9,50).

Let us now find slope of the linear function:

m1 = (y2 - y1)/(t2 - t1)

m1 = (50 - 37.1)/(9 - 3)

m1 = 2.15

So, we can find the linear equation as;

y - 37.1 = 2.15(t - 3)

y = 37.1 + 2.15t - 6.45

y = 43.55 + 2.15t

What is the gradual process through which humans change from birth to
adulthood?

Answers

Answer:

Growth and Development

What will be the fundamental frequency and first three overtones for a 26cm long organ at 20°C if it is open ( at 20°C, the speed of sound in air is 343m/s)

Answers

Explanation:

The frequency of an organ pipe if it is open is given by :

[tex]f=\dfrac{nv}{2l}[/tex]

v is speed of sound in air is 343 m/s at 20°C

For fundamental frequency, n = 1

[tex]f=\dfrac{1\times 343}{2\times 0.26}\\\\f=659.61\ Hz[/tex]

First overtone frequency,

[tex]f_1=2f\\\\f_1=2\times 659.61\\\\f_1=1319.22\ Hz[/tex]

Second overtone frequency,

[tex]f_2=3f\\\\f_2=3\times 659.61\\\\f_2=1978.83\ Hz[/tex]

Third overtone frequency

[tex]f_3=4f\\\\f_3=4\times 659.61\\\\f_3=2638.44\ Hz[/tex]

Hence, this is the required solution.

what do I need To do to get a moving object to stop moving ?

Answers

Answer:

Force.

Explanation:

SImple as that. think of Newtons Laws.

Of the following, who is the first female to earn a doctoral degree in psychology in the United States? A. Mary Whiton Calkins B. Leta Stetter Hollingworth C. Margaret Floy Washburn D. Francis C. Sumner Please select the best answer from the choices provided

Answers

Answer:

c

Explanation:

i got it rigth on the quiz

a toy boat travels 0.2km in 1 minute and 30 seconds calculate the average speed of the toy give your answer to 3 significant figures

Answers

Answer:

0.00222km/s

Explanation:

[tex]Distance = 0.2km\\Time = 1\:minute \:30\:seconds = 90\:seconds\\\\Average \:speed =?\\\\Average \:speed = \frac{0.2}{90} \\A.V = 0.002222\\A.V =0.00222[/tex]

A particle moves with a velocity    1 v 5j 3j 6k ms      under influence of a contact force  F 10i 10j 20k N.      THe instantaneous power applied to the particle is

Answers

Answer:

P = 200 W

Explanation:

The expression for the power is

        P = W / t

the job

       W = F d

   

we substitute

      P = F d / t

      P = F. v

We apply this equation to our case where the velocity is

 v = (5 i + 3j + 6k) m / s

and the force is

 F = (10i + 10j +20 k) N

we substitute in the power equation, remember that the scalar product of the unit vectors is

i.i = j.j = k.k = 1 and the other products are zero

    P = 10 5 + 10 3 + 20 6

    P = 200 W

Measurements such as weight, temperature, time, and length are qualitative observations?
A. true
B. False​

Answers

Answer:

false

Explanation:qualitative is a word or name that describe a quality of the individual while quantitative is a number or something that can be counted or measured from the individual.

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