A plane leaves Houston and flies 400 km north to Dallas. The pilot realizes he has forgotten his
golf clubs and returns to Houston to pick them up on the way back to Houston, the plane runs
out of gas and is forced to land in Huntsville, 100 km North of Houston. The trip from Houston to
Dallas took 120 min and the trip from Dallas to Huntsville took 70 min.
A. What is the total distance (in meters) covered by the airplane?
B. What is the plane's total displacement (in meters)?
C What is the average velocity for: 190 MM
i Houston to Dallas
ii. Dallas to Huntsville

Answers

Answer 1

(A) The total distance covered by the plane is 500,000 m

(B) The plane's total displacement is 300,000 m

(C) The average velocity of the plane is 100 m/s

The given parameters:

initial displacement of the plane = 400 km Dallas

final displacement of the train = 100 km Huntsville

the time taken for the initial displacement = 120 min

final time for the second trip = 70 min

A sketch of the plane's trip is as follows:

                                         Dallas

                              400 km ↑ ↓

                                            ↑  ↓ Huntsville  100 km

                                             ↑

                                             ↑

                                        Houston

(A) The total distance covered by the plane:

The total distance is the total path travelled by the plane.

Total distance = 400 km + 100 km = 500 km, = 500,000 m

(B) The plane's total displacement:

The total displacement is the change in the position of the plane.

The displacement = 400 km - 100 km = 300 km = 300,000 m

(C) The average velocity of the plane

[tex]Average \ velocity = \frac{change \ in \ displacement }{change \ in \ time} \\\\Average \ velocity = \frac{400 \ km - 100 \ km}{120 \ \min - \ 70 \ \min} \\\\Average \ velocity =\frac{300 \ km}{2\ hr - 1.167 \ hr} \\\\Average \ velocity = \frac{300 \ km}{0.833 \ hr} \\\\Average \ velocity = 360.14 \ km/hr\\\\Average \ velocity = \frac{360.14 \ km/h}{3.6 \times \frac{km/hr}{m/s} } = 100 \ m/s[/tex]

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Related Questions


Who among the old Greek Philosophers/Scientists was the first to systematically study the
Stars?

Answers

Previous Answer:

Aristotle

Change:

Aristarchus

Answer:

Aristarchus of Samos was the first Greek philosopher to believe the solar system was organized around the Sun, rather than the Earth. The heliocentric was very unpopular during Aristarchus' lifetime, although it would inspire astronomers centuries later. Ptolemy was an astronomer and mathematician.

A positively charged glass rod is bought close to a suspended metal needle. What
can we say about the charge on the needle given that the needle is
a) attracted ?
b) repelled ?

Answers

Answer:

attracted

Explanation:

opposite charges attract each other when the rub against each other

Answer:

This depends because the electrostatic force obeys the principle that states that force between both of the particles does not get affected by the charges of the other thus if the needle is getting attracted it possess negative charges( the opposite charge) .And if they repel it means they have the same charges ( positive charges).

what is annual average inflation​

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Source: https://www.statista.com/statistics/244983/projected-inflation-rate-in-the-united-states/

Question 3 A woman sitting in a stationary car notices a man cycling past her at 40 km/hr. Five seconds after he passes her car, she starts following after him. What is the shortest possible distance in which she will catch up to the cyclist if he maintains hrs speep and she obeys the speed limit of 70 km/hr? The car has a maximum acceleration

Answers

The shortest possible distance in which she catches up with the man is 129.7 m.

The given parameters:

speed of the man, v₁ = 40 km/hr

speed of the woman, v₂ = 70 km/hr

time when the woman started moving, t₁ = 5 seconds

To find:

the shortest distance when she catches up with the man

Convert the given speed in km/h to m/s

3.6 km/h = 1 m/s40 km/h = 40/3.6 = 11.11 m/s70 km/h = 70/3.6 = 19.44 m/s

Calculate the distance moved by the man before she started following him.

Distance moved by the man = speed x time

                                                = 11.11 m/s  x  5 s

                                                = 55.55 m

Let the time the woman catches up with the man = t

Apply the following simple principle to calculate the time.

The man is moving forward and the woman is moving forward to close the gap between them, thus both speeds are working against each other.

[tex](v_2-v_1)t = 55.55 \ m[/tex]

the difference in the speed is because they are working against each other.

[tex](19.44 - 11.11)t = 55.55\\\\8.33t = 55.55\\\\t = \frac{55.55}{8.33} \\\\t = 6.67 \ s[/tex]

The time when the woman catches up with the man = 6.67 s

The shortest distance at which the woman catches up with the man is calculated as;

Shortest distance = woman's speed x time when she catches up

                               = 19.44 m/s    x  6.67 s

                               = 129.7 m

Thus, the shortest possible distance in which she catches up with the man is 129.7 m.

Learn more here: https://brainly.in/question/9541933?tbs_match=3

If A finishes a work in less time than B,who has more power explain why​

Answers

As power is directly proportional to work done and inversely proportional to time taken, A is said to have more power than B as he completed the work in less time than B.

Consider the mass-on-a-spring system as shown in the figure below. The spring has a spring constant of 1.81e+3 N/m, and the block has a mass of 0.988 kg. There is a constant force of kinetic friction between the mass and the floor of 1.79 N. Starting with the spring compressed by 0.172 m from its equilibrium position, how far will the block travel once it leaves the spring? (Assume that block leaves the spring at at the spring's equilibrium position, marked x=0 in the figure.

Answers

K1Answer:

s= 6.5cm

Explanation:

Point 1: just right before the block leaves the spring

Point 2: the block has v2=0 (stops moving)

Apply Kinetic-Work Theorem:

K1 + U1 + Wother = K2 + U2

K1=0

U1= 1/2×k×x² (k= 1.81e+3 N/m and x= -0.172 m)

Wother = F×s= 1.79×s

K2=0

U2=0

=> s= 6.5cm

This is my attempt to solve. Let me know if this isn't right

what change occurs to the gravitational force of attraction between two bodies when the distance between them is made half 1 by 2 by keeping masses constant​

Answers

Explanation:

Since the gravitational force is inversely proportional to the square of distance, changing the distance to half the original results in 4 times the original force

explain fundamental quantities in
physics


Answers

Answer:

fundamental quanties are mass , time, length, temperature , amount of substance and luminous intensity. All other physical quantity are derived quantity and be made from fundamental quanties.

Explanation:

hope it helps u

Answer:

The other person answered

Explanation:

calculate the volume that 42g of nitrogen gas (N2)occupies at standard temperature and pressure.​

Answers

Nitrogen gas has a molar mass of about 28.0134 g/mol. Then we have a starting amount of

(42 g) / (28.0134 g/mol) ≈ 1.4993 mol

of N₂.

At standard temperature and pressure, one mole of an ideal gas occupies a volume of about 22.4 L. Then 42 g, or 1.4993 mol, of N₂ takes up

(1.4993 mol) × (22.4 L/mol) ≈ 33.6 L

What are two benefits of scientists using a diagram to model the water cycle?
A. It can show changes that occur in many different parts of Earth at
the same time.
B. It can be used to show how the parts of the cycle relate to one
another.
C. It can be used to show as much detail as is present in the actual
water cycle.
OD. Only a few factors in the water cycle can be shown on the
diagram.

Answers

Explanation:

it can be used to show how the parts of the cycle relate to one another

Encontrar el peso de un elefante cuya masa es de 4500kg. Recordar que la gravedad es de 9.8m/s2

Answers

la respuesta es 459.183673 kg s2 / m

Answer:

44,100 N

Explanation:

4500(9.8) = 44,100

a ball is thrown straight up into the air with an initial speed of 3.1 m/s. a. After 0.24 seconds what is the ball's velocity and b. what is it's acceleration?

Answers

a. The ball's velocity after 0.24 s is 0.75 m/s

b. The acceleration of the ball is given by the acceleration due to gravity

a. The ball's velocity can be calculated with the following equation:

[tex] v_{f} = v_{0} - gt [/tex]

Where:

[tex] v_{f} [/tex]: is the final speed =?

[tex]v_{0}[/tex]: is the initial speed = 3.1 m/s

g: is the acceleration due to gravity = 9.81 m/s²

t: is the time = 0.24 s

The minus sign is because the acceleration is in the opposite direction (downward) of the motion of the ball (upward).

The final speed is:

[tex] v_{f} = v_{0} - gt = 3.1 m/s - 9.81 m/s^{2}*0.24 s = 0.75 m/s [/tex]

Hence, the ball's velocity after 0.24 s is 0.75 m/s.

b. The acceleration of the ball is given by the acceleration due to gravity because the ball is thrown straight up (the motion of the ball is in the y-direction). The velocity of the ball in the x-direction is zero so the acceleration in the same direction is also zero.  

You can see another example of velocity here: https://brainly.com/question/13388351?referrer=searchResults

I hope it helps you!

Jo, Daniel and Helen are pulling a metal ring. Jo pulls with a force of 100N in one direction and Daniel with a force of 140N in the opposite direction. If the ring does not move, what force does Helen exert if she pulls the same direction as jo? ​

Answers

Answer:

she is pulling with 40 N force

Explanation:

The ring does not move means that the forces are equal.

Let's call Jo's force x

We have the quation

140 = x + 100

x = 40

do humans have the right to alter and colonize unique environments on another planet? explain your answer.

Answers

Answer:

We may have people making habitats on asteroids ... I know that humans will colonize the solar system and one day go beyond. Richard Gott has estimated that the human race could survive for another 7.8 million years, but it is not likely to ever colonize other planets.

To be sure there are many daunting challenges facing prospective space colonists such as protection from exposure to deadly radiation levels, the impact on the human body while living and working in cramped, low-gravity environments for extended periods of time and the psychological toll of isolation and confinement.

According to me we can't colonize other planets which is against humanity

Water is flowing in a pipe with a varying cross-sectional area, and at all points the water completely fills the pipe. At point 1 the cross-sectional area of the pipe is 0.070 m^2, and the magnitude of the fluid velocity is 3.50 m/s.

Required:
a. What is the fluid speed at point in the pipe where the cross-sectional area is 0.105m^2?
b. What is the fluid speed at point in the pipe where the cross-sectional area is 0.047m^2?
c. Calculate the volume of water discharged from the open end of the pipe in 1.00hour.

Answers

Answer:

b

Explanation:

What is the average velocity of the particle from rest to 9 seconds?

OA.
1 meter/second
OB.
2 meters/second
OC.
3 meters/second
OD.
4 meters/second

Answers

Answer:

B 2m\s

Explanation:

18 m of displacement over the course of 9 seconds

18/9 = 2 m\s

When a piece of metal mass of 72.17 g is
dropped into a graduated cylinder containing
20.92 mL of water, the water level rises to
26.64 mL. What is the density of the metal?
Answer in units of g/cm3
.

Answers

Answer:

Explanation:

The trick is in finding the volume.

Final Volume = 26.64

Initial Volume=20.92                   Subtract

Metal Volume  5.72  cm^3

Density = mass / volume

Density = 72.17 / 5.72

Density = 12.617

if your average speed is 3 m/s, how far have you traveled in 1 second, 2 second, 3 seconds?

Answers

Answer:

in 1 second 3m, in 2 seconds 6m, in 3 seconds 9m.

Explanation:

distance=speed × time

1 second: 3 miles, 2 seconds: 6 miles 3 seconds: 9 miles

A:10i - 2j -4k and B: i +7j - k. Determine |A-B| ​

Answers

A - B = (10i - 2j - 4k) - (i + 7j - k)

A - B = 9i - 9j - 3k

|A - B| = √(9² + (-9)² + (-3)²) = √189 = 3√19

the value of mass of a body is everywhere

Answers

Explanation:

The value of mass of a body is not same everywhere.

Because it depends on gravity and the gravity isn't same at every places.

Answer:

Mass is the quantity of matter contained in a body, while weight is the force by which the body is pulled to the earth's center. Mass is an intrinsic property of a body, as it remains the same everywhere in the universe. Weight is variable due to change in the magnitude of the gravitational force applied by the earth.

A rocket of mass 40,000kg propelled by a force 10⁶N acquires a speed of 3000m/s. determine the power extended​

Answers

Answer:

3×10⁹ W

Explanation:

Power = work / time

Power = force × distance / time

Power = force × velocity

P = Fv

P = (10⁶ N) (3000 m/s)

P = 3×10⁹ W

Aristotle said that if you dropped a large object and a smaller object that the larger
object would hit the ground first.
We now know that that is___
not true.
true

Answers

Answer: not true

Explanation: mass < weight

If a horse can trot with an average velocity of 13 km/h, how far can it travel in
8 hours?
A. 2 km
B. 104 km
C. 35 km
D. 78 k

Answers

13*8= 105 km
D=speed*times

Answer:

104 km

Explanation:

Displacement = Velocity x Time

                       = 13 x 8

                       = 104 km

which type of bonds can carbon atoms form with other carbon Atoms

Answers

Explanation:

A carbon atom can form covalent bonds with other carbon atoms

What is term for the group of phenomena that includes, melting, boiling, freezing, and condensation?


Phase Change

Seasonal Change

State Change

Time Change​

Answers

the answer is phase change.

Convert each of the following speed into m/sec:
(i) 72 km/h
(ii) 12.6 km/h
(iii) 23.4 km/h
(iv) 306 km/h

Answers

Answer:

(i) 20 m/s

(ii) 3.5 m/s

(iii) 6.5 m/s

(iv) 85 m/s

Explanation:

1(kilometer/hour) = 1000(meters) / 3600(seconds) can also be expressed as 1(kilometer/hour) = 5/18 (meters/second), which is its simplified form. To convert km/h to m/s, directly multiply the given value of speed by the fraction 5/18.

This information is from: https://www.cuemath.com/measurement/km-h-to-m-s/

What is crowbar? Class 8

Answers

Answer:

Crowbar is a tool made of metal rods that are flattened at both ends, with one of them curved. There is also a crowbar that is curved at both ends.

hope it helped

□: the action of an object spinning around on its □​

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Answer:

head gyxicjcurgcugxgox6r

An astronaut floating in space is trying to use her jetpack to get back to her space station, but she is being pulled away by a nearby planet, as shown in the image below. Her jetpack provides a constant thrust of 165 N. If she angles her jetpack in such a way that it cancels out the vertical force due to the planet's gravity, what is her net horizontal force?
A. 132.6 N toward the space station
B. 53.3 N away from the space station
C. 98.5 N toward the space station
D. 112.8 N away from the space station

Answers

Answer:

C. 98.5N toward the space station

Explanation:

Fx= Fjet×cos(20) - Fplanet × cos(45) = 98.5

Because the result is positive so she is going toward the space station

which is a symbol that represents SI units for temperature?

A. °C
B. g
C. L
D. °F​

Answers

Answer:

A. °C

Explanation:

[tex]{ \sf{degree \: celcius}}[/tex]

Answer:

Symbol k represent SI UNITS

Explanation:

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