On a drive from your home to town, you
wish to average 60 mph. The distance from
your home to town is 78 miles. However,
at 39 miles (half way), you find you have
averaged only 45 mph.
What average speed must you maintain in
the remaining distance in order to have an
overall average speed of 60 mph?
Answer in units of mph.

Answers

Answer 1

On a drive from your home to town, you wish

to average 33.6 mph. The distance from your

home to town is 90 miles. However, at 45 miles

(half way), you find you have averaged only

25.2 mph.

What average speed must you maintain in

the remaining distance in order to have an

overall average speed of 33.6 mph?

Answer in units of mph

let the speed be x

total average = 33.6


Related Questions

how far will a body move in 4sec if uniformly accelerated from rest at the rate of 2m/s2​

Answers

Answer:

32m

Explanation:

v=u+at

v=0+2×4

v=8m/s

d=vt

d=8×4

d=32m

Three resistors are connected in series to a 42.1 V battery: R1 = 2.96 Ω, R2 = 7.48 Ω and R3 = 7.42 Ω. Now, as R3 heats up, its resistance increases according to: fraction numerator d R subscript 3 over denominator d t end fraction = 0.552 Ω/s Assume the resistance of the other resistors remain constant. Find fraction numerator d P over denominator d t end fraction , the rate at which the power pulled from the battery is changing in W/s, at the instant R3 = 91.7 Ω. The sign shows whether the power is increasing or decreasing.

Answers

Answer:

dP/dt = 26.12 W/s

Explanation:

First, we need to find the value of dt at the instant when R₃ becomes 91.7 Ω. Therefore, we use:

dR₃/dt = 0.552 Ω/s

where,

dR₃ = Change in value of resistance 3 = 91.7 Ω - 7.42 Ω = 84.28 Ω

dt = time interval = ?

Therefore,

84.28 Ω = (0.552 Ω/s)(dt)

dt = (84.28 Ω)/(0.552 Ω/s)

dt = 152.68 s

Now, we find change in power (dP):

dP = V(R₁ + R₂ + dR₃)

dP = (42.1 V)(2.96 Ω + 7.48 Ω + 84.28 Ω)

dP = 3987.71 W

Dividing by dt:

dP/dt = 3987.71 W/152.68 s

dP/dt = 26.12 W/s

Which of the following organisms has an adaptation that will allow it to survive in tundra biome? *
A.)Plants with roots that are short and grows sideways with hairy stems and small leaves.
B.)Plants that have broad leaves to capture sunlight and long roots to penetrate the soil.
C.)Animals with thin fur that allows them to get rid of heat efficiently.
D.)Animals with long tongues for capturing prey and sticky pads for climbing trees.

Answers

Answer:

the awnser is A becuse the hair help.

Why is it important for scientists to find better ways to store solar and wind energy?

Answers

Answer:

Energy storage plays an important role in this balancing act and helps to create a more flexible and reliable grid system. For example, when there is more supply than demand, such as during the night when low-cost power plants continue to operate, the excess electricity generation can be used to power storage devices.

Explanation:

I hope this helps you out and if your feeling generous plz mark brainliest it helps me a lot thank you:)

It important for scientists to find better ways to store solar and wind energy because solar and wind energy have variable outputs.

Lately, the world have begun to gradually gravitate away from non renewable energy sources such as fossil fuels and research efforts have been concentrated on renewable energy sources such as solar and wind energy.

However, the energy output from these sources are variable. Therefore, it is necessary to device ways to store energy from these sources in order to improve overall energy supply.

Learn more: https://brainly.com/question/17319210

a driver travels 4.25 km in two minutes. if the driver's initial velocity is 20m/s, what is the acceleration

Answers

Recall the definition of average velocity:

average v = ∆x / ∆t

The driver moves a distance of ∆x = 4.25 km = 4250 m in 2 min = 120 s, so the average velocity is

average v = (4250 m) / (120 s) ≈ 35.4 m/s

Under constant acceleration, the average velocity can also be computed by taking the average of the initial and final velocities:

average v = (initial v + final v) / 2

Solve for (final v) :

35.4 m/s = (20 m/s + final v)/2

final v ≈ 50.83 m/s

Recall the definition of average acceleration:

average a = ∆v / ∆t

Solve for a :

a = (50.83 m/s - 20 m/s) / (120 s)

a ≈ 0.257 m/s²

Which of the following units is part of the international system of units, or SI?

Answers

Answer:

meter, kilogram, second, ampere, Kelvin, candela, and mole.

Explanation:

these are all SI units.

Newton
10. Your mass on Earth is 50kg. Planet Xenon has half the gravitational force of Earth. What
are your weight and mass on Planet Xenon?

Answers

Given parameters:

Mass on earth  = 50kg

Unknown:

Mass on planet Xenon = ?

Weight on planet Xenon = ?

Mass is the amount of matter contained in a particular substance.

Weight is the force on a body and it is derived from the product of mass and acceleration due to gravity.

         Weight  = mass x acceleration due to gravity

Planet Xenon has half the gravitational force of Earth.

 This translated gives [tex]\frac{9.8}{2}[/tex]   = 4.9m/s²

Now, mass is always the same every where if the amount of matter in a substance does not change.

In this problem, mass = 50kg on planet xenon.

Weight =  mass x acceleration due to gravity  = 50 x 4.9  = 245N

The weight on Xenon is 245N and the mass is 50kg

A car goes 500m in 5 sec. It was moving 10 m/sec to begin with, what is
its final velocity?*

Answers

Answer:

v = 190 m/s

Explanation:

Given that,

Initial velocity of a car, u = 10 m/s

Distance, d = 500 m

Time, t = 5 s

We need to find the final velocity of the car. Firstly we can find the acceleration of the car using second equation of motion as follows :

[tex]d=ut+\dfrac{1}{2}at^2\\\\500=10\times 5+\dfrac{a}{2}\times 5^2\\\\500=50+\dfrac{25a}{2}\\\\450=\dfrac{25a}{2}\\\\a=\dfrac{450\times 2}{25}\\\\a=36\ m/s^2[/tex]

let v is the final velocity. using First equation of motion to find a as follows :

v=u+at

v=10+36(5)

v=190 m/s

So, the final velocity of the car is 190 m/s.

Velocity of an object in projectile motion always increase
True
False​

Answers

Answer:

I'm pretty sure it's false

A bowling ball of mass m = 1.7 kg drops from a height h = 14.2 m. A semi-circular tube of radius r = 6.2 m rest centered on a scale. Write an expression for the reading of the scale when the bowling ball is at its lowest point, in terms of the variables in the problem statement.

Answers

Answer:

W_net = mg + 2mgh/r

Explanation:

The forces applied in this motion of the bowling ball are both gravitational and centripetal forces.

Now, gravitational force is; F_g = mg

While centripetal force is; F_c = mv²/r

Since we want to express the net force in terms of the variables in the statement and we are not given "v", let's find an expression of v with the variables given.

Now, from Newton's equation of motion, at initial velocity of 0, v² = 2gh.

Thus;

F_c = 2mgh/r

Where;

m is ball mass

r is tube radius

h is fall height

Thus, the net force will be;

F_net = F_g + F_c

Now, Net force would be equal to the net weight that will be read on the scale.

Thus;

W_net = F_net = F_g + F_c

W_net = mg + 2mgh/r

At its lowest point, the net force of the bowling ball is equal to its net weight and this is given by [tex]F_{net} = mg + \frac{2mgh}{r}[/tex]

Given the following data:

Mass, m = 1.7 kg.Height, h = 14.2 meters.Radius, r = 6.2 meters.

To write an expression for the reading of the scale when the bowling ball is at its lowest point, in terms of the given variables:

The forces acting on the ball.

In this scenario, there are two (2) forces acting on the bowling ball and these include:

Centripetal forceGravitational force

Mathematically, centripetal force is given by this formula:

[tex]F_c = \frac{mv^2}{r}[/tex]     .....equation 1.

Mathematically, gravitational force is given by this formula:

[tex]F_g= mg[/tex]    ....equation 2.

Where:

m is the mass.g is the acceleration due to gravity.v is the velocity.

Next, we would derive an expression for the velocity of the ball by applying the Law of Conservation of energy:

[tex]P.E = K.E\\\\mgh = \frac{1}{2} mv^2\\\\V^2=2gh[/tex] .....equation 3.

Substituting eqn. 3 into eqn. 2, we have:

[tex]F_c = \frac{m(2gh)}{r}\\\\F_c = \frac{2mgh}{r}[/tex]

At its lowest point, the net weight of the bowling ball is equal to its net force and this is given by this mathematical expression:

[tex]W_{net} = F_{net} = F_g + F_c\\\\F_{net} = mg + \frac{2mgh}{r}[/tex]

Read more on net force here: https://brainly.com/question/14361879

3. When two things are the same temperature:

A. They have the same number of molecules

B. Their molecules stop moving

C. Their molecules move at the same average speed

D. Heat transfer between the two things stops​

Answers

The answer is definitely C.) their molecules move at the same average speed

Answer: D.  Heat transfer between the two things stops​.

the period of a pendulum may be decreased by

Answers

Answer:

shortening its length.

The period of a pendulum is not dependent on the mass of the ball, but only on the length of its string. The period of a pendulum may be decreased by shortening the length of pendulum

The shortening of the pendulum length often affect its period.  The length of the string do influence the pendulum's period making it to be like the longer the length of the string, the longer the pendulum's period.

A pendulum that has a longer string often has a lower frequency. That is, it will swings back and forth in little times in a given amount of time than when the pendulum is with a shorter string length.

Learn more from

https://brainly.com/question/2936338

what is a methane. please answer pysicsssssssssss​

Answers

Answer:

methane is a gas

Explanation:

in chemistry

An object begins at position x = 0 and moves one-dimensionally along the x-axis witļi a velocity v
expressed as a function of time t according to the graph above. At what time does the object pass
through x = 0 again?

Answers

Answer:

The answer is "between 20 s and 30 s".

Explanation:

Calculating the value of positive displacement:

[tex]\ (x_{+ve}) = \frac{1}{2} \times 15 \times 20 \\\\[/tex]

          [tex]= \frac{1}{2} \times 300 \\\\= 150 \\\\[/tex]

Calculating the value of negative displacement upon the time t:

[tex](x_{-ve}) = \frac{1}{2} \times 5 \times 20- 20(t-20) \\\\[/tex]

          [tex]= \frac{1}{2} \times 100- 20t+ 400 \\\\= 50- 20t+ 400 \\\\[/tex]

[tex]\to X= X_{+ve} + X_{-ve} \\\\[/tex]

[tex]\to 150 - 50 -20t+400 =0\\\\\to 100 -20t+400 =0 \\\\\to 500 -20t =0\\\\\to 20t =500 \\\\\to t=\frac{500}{20}\\\\\to t=\frac{50}{2}\\\\\to t= 25[/tex]

That's why its value lie in "between 20 s and 30 s".

A truck slows from a velocity of 34 m/s to a stop in 50 m. What was the
truck's acceleration? *

Answers

The acceleration/deceleration of the truck is 11.56 m/s^2

Velocity and acceleration

Velocity is the rate of change of displacement of a body.

Velocity = change in displacement/ time

Acceleration is the rate of change of velocity with time.

Acceleration = change in velocity/ time.

The acceleration, velocity and distance travelled of a body is related by the equation below:

v^2 = u^2 + 2as

where v is the initial velocity

u is the final velocity

a is the acceleration, and

s is the distance travelled

From the data provided:

v = 0

u = 34 m/s

s = 50 m

a = ?

making a subject of the formula

a = -u^2/2s

a = - 34^2 / 2 × 50

a = -11.56 m/s^2

Therefore, the acceleration/deceleration of the truck is 11.56 m/s^2

Learn more about velocity and acceleration at: https://brainly.com/question/742413

What is the net force required to give an automobile with a mass of 2,100 kg an acceleration of 5.4 m/s^2?

Answers

Answer:

Net force = 11340 N

Explanation:

Given that,

Mass of an automobile, m = 2100 kg

Acceleration of the automobile, a = 5.4 m/s²

We need to find the net force required for the automobile. The net force is the product of mass and acceleration. It can be given by the formula as follows :

[tex]F=ma\\\\F=2100\ kg\times 5.4\ m/s^2\\\\F=11340\ N[/tex]

So, the net force is 11340 N.

Layer with partially melted material that can flow easily is

Answers

Answer:

the mantle.

Explanation:

The mantle is the mostly-solid bulk of Earth's interior. The mantle lies between Earth's dense, super-heated core and its thin outer layer, the crust. It's practically hot lava (Magma) Flowing and causing earthquakes and what not.

Hope this helps :)

Please help in 5 mintues
A piece of chess game called master
a. king
b. queen
c. rook
d. bishop

Answers

Not sure I think it’s King
Sorry if I’m wrong
King is the answer!!!

Based on what you learn about gravity describe why objects float in outer space

Answers

Answer:

Objects float in outer space because there is no gravitational force. The farther you get from earth, the less gravity.

Explanation:

Answer:

they float do to gravity

Explanation:

here if you tossed a ball in the air it would come back down fast in space however it would only float up and stay do to gravity

If a car moves at a velocity of 1.45 x102 m/s for 1.8 x103
seconds. How far does the car go?

Answers

Answer:

The answer is

[tex]2.61 \times {10}^{5} \: \: m[/tex]

Explanation:

The distance covered by an object given it's velocity and time taken can be found by using the formula

distance = velocity × time

From the question

velocity = 1.45 × 10² m/s

time = 1.8 × 10³ s

We have

distance = 1.45 × 10² × 1.8 × 10³

We have the final answer as

[tex]2.61 \times {10}^{5} \: \: m[/tex]

Hope this helps you

Which type of force occurs between two objects at a distance?

A. Applied force
B. Contact force
C. Non-contact force
D. Normal force
If your right you get 100 points & brainliest

Answers

Answer:

it has to be b contact forces

Explanation: because the two objects are next to each other but they still have force

Answer:

c

Explanation:

Help pls it’s urgent

Answers

The result wave Will have a greater amplitude than both waves

A book sitting on a table has potential energy because of the gravitational pull of Earth. Which of the following would increase the potential energy of the book? A) Sliding it across the table C) Dropping it on the floor B) Opening it to the middle D) Lifting it to a high shelf

Answers

Answer:

D) Lifting it to a high shelf

Explanation:

Potential energy is where energy could be released at any moment. For example, if a cat gets on a tree it's creating potential energy, once that cat jumps from the tree the energy releases. D is the answers because if you set the book in a high shelf, you are only creating more potential energy.

hope I explain my self well enough

cheers man and good luck

Picture a long, straight corridor running east-west, with a water fountain located somewhere along it. Starting from the west end of the corridor, a woman walks a short distance east along the corridor and stops before reaching the water fountain. The distance from her to the fountain is twice the distance she has walked. She then continues walking east, passes the water fountain, and stops 60 m from her first stop. Now the distance from her to the fountain is twice the distance from her to the east end of the corridor. How long is the corridor

Answers

Answer:

The corridor's distance is "90 m".

Explanation:

She heads in the east directions but creates the first pause, meaning she crosses the distance 'x' in step 1. Now, provided that perhaps the distance by her to another fountain or waterfall just after the first stop is twice as far away she traveled. Because she moved the distance of 'x,' then, therefore, her distance towards the fountain of '2x.' She casually strolls and once again pauses 60 m beyond her stop. The gap about her to the waterfall during that time approximately twice the distance and her to the eastern end of the hallway.Assume her gap from either the east end of the platform seems to be 'y' at either the second stop, after which '2y' may become the distance between the 2nd pause and the waterfall.

Now,

⇒  [tex]2x + 2y = 60[/tex]

⇒  [tex]x + y = 30[/tex]

The total distance of the corridor will be:

=  [tex]x + 2x + 2y + y[/tex]

=  [tex]3\times (x + y)[/tex]

=  [tex]3\times 30[/tex]

=  [tex]90 \ m[/tex]

1. Tectonic plates that move toward each other ...A Mantle
2. Layer with partially melted material that can flow easily _....B. Convergent
3. Tectonic plates that move away from each other C. Transform
4. Tectonic plates that slide past each other D. Divergent

Answers

Answer:

Its convergent

Explanation:

There areas where plates move toward each other and collide Also known as compressional pr destructive boundaries.

What are the Function of stand unit ​

Answers

Answer:

It is called the unit function because it is the identity element for Dirichlet convolution. It may be described as the "indicator function of 1" within the set of positive integers. It is also written as u(n) (not to be confused with μ(n), which generally denotes the Möbius function).

Which table shows the correct role of each organism in the food chain below?
Algae → Shrimp → Artic Cod → Ringed Seals Polar Bears

Answers

Answer:

it is algae- shrimp- artic cod-ringed seals- polar bears

Explanation:

you had it right

how you brother and sister​

Answers

It’s good how about you brother and sister
Good, could I please get brainliest? I really need it:(

As mentioned in problem 1.2 from Chapter 1, if you stand on one leg the load exerted on the hip joint is 2.4 times your body weight. Assuming a simple cylindrical model for the implant, calculate the corresponding stress (in MPa) on a hip implant in a individual with a hip implant with a cross-sectional area of If the hip implant is made of Ti6Al4V (124 GPa elastic modulus), what is the strain for the given loading conditions?

Answers

The question is incomplete. Here is the complete question.

As mentioned in problem 1.2 from Chapter 1, if you stand on one leg the load exerted on the hip jpint is 2.4 times your body weight. Assuming a simple cylindrical model for the implant, calculate the corresponding stress (in MPa) on a hip implant in a 175lb individual with a hip implant with cross-sectional area of 5.6cm². If the implant is made of Ti6AI4V (124 GPa elastic modulus), what is the atrain for the given loading conditions?

Answer: σ = 3.336 MPa

             Strain = 2.69.[tex]10^{-5}[/tex]

Explanation: Stress is the measurement of how hard a weight works to change a material's shape. Its symbol is σ and is calculated as

[tex]\sigma = \frac{F}{A}[/tex]

where

F is force

A is cross sectional area

For the hip implant, force is 2.4x of an 175lb individual:

F = 2.4 * 175

F = 420lb

As the question is asking for Pa and 1 Pa = 1 N/m², transform lb in Newtons:

F = 420lb * 4.448N/lb

F = 1868 N

And cm² in m²:

A = [tex]5.6.10^{-4}[/tex] m²

Calculating Stress:

[tex]\sigma=\frac{1868}{5.6.10^{-4}}[/tex]

[tex]\sigma=333.6.10^{4}[/tex] Pa

or

σ = 3.336 MPa

Stress on a hip implant of an individual with weight 175lb is 3.336 MPa.

Strain is the measure of the deformation of a material due to a load. It can be calculated as:

strain = [tex]\frac{stress}{modulus}[/tex]

But first, change MPa into GPa:

3.336 MPa = [tex]3.336.10^{-3}[/tex] GPa

strain = [tex]\frac{0.003336}{124}[/tex]

strain = [tex]2.69.10^{-5}[/tex]

Ti6Al4V is a titanium alloy used in implants. So, the strain the alloy does on a hip implant of a 175lb individual is [tex]2.69.10^{-5}[/tex].

When an object remains stationary, any forces acting on it must be balanced.

Choose 1 answer:

True
False

Answers

False because if it was even the force would just bounce off of the object
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