It is your parent's 25th Wedding Anniversary and you thought it would be special to throw them a surprise party. Your entire family is up north at your Traverse City cottage (240 miles from your home) and you plan on waking up early Saturday morning to drive home and set up for the party. You wake up at 10:00 am to head out but to your surprise your parents decide on leaving at 11:00 am instead of 1:00 pm like they originally planned. Your father ALWAYS drives 60 miles per hour on the expressway and it will take you about 2 hours to set up for the party. How fast must you drive in order to get home in enough time to make the surprise a success? Show your work.

Answers

Answer 1

Answer:

120 miles per hour.

Explanation:

We need to find the time it takes my parents to drive home from the cottage. Since my father drives at 60 miles per hour, and the cottage is 240 miles from our home, and distance = speed × time. So, time = distance/speed = 240 mi/60 mi/h = 4 h.

So, it will take my father 4 hours to drive home from the cottage.

Since I have 2 hours to prepare for the party, the time left for me to drive to the cottage is 4 - 2 hrs = 2 hrs.

So, I'm supposed to drive to the cottage in at most 2 hours.

The speed at which I must drive in this time period is thus,  speed = distance/time = 240 miles/2 hours = 120 miles per hour.

So, I must drive at a minimum speed of 120 miles per hour.


Related Questions

Mass refers to the gravitational force on the matter in contact with the surface of a planet. true or false

Answers

Answer:

False

Explanation:

The mass of something does not depend on gravity. A planet has a constant gravitational force. Earth's is 9,80 N/kg. The moon, on the other hand, is 1,6 N/kg. the number of kilograms of something doesn't change if you go from one planet to another and since mass is measured in kilograms, mass doesn't change, therefore it does not refer to gravity. Mass refers to the quantity of matter in an object. It is weight that refers to the gravitational force on an object, since it is measured in newtons, and the amount of newtons per kilogram changes from planet to planet due to different gravity constants

Carlos gets tired of pushing and instead begins to pull with force Fpull at an angle to the horizontal.
The block slides along the rough horizontal surface at a constant speed. A free-body diagram for the
situation is shown below. Blake makes the following claim about the free-body diagram:
Blake: “The velocity of the block is constant, so the net force exerted on the block must be zero.
Thus, the normal force FN equals the weight Fmg, and the force of friction Ff equals the applied
force Fpull.”
What, if anything, is wrong with this statement? If something is
wrong, identify it and explain how to correct it. If this statement is
correct, explain why.

Answers

Answer:

The wrong items are;

1) The normal for FN equals the weight Fmg

2) The force of friction, Ff, equals the applied force Fpull

The corrected statements are;

1) The normal force is weight less the vertical component of the applied force Fpull

FN = Fmg - Fpull × sin(θ)

2) The force of friction equals the horizontal component of the applied force Fpull

Ff = Fpull × cos(θ)

Explanation:

The given statement was;

The velocity of the block is constant, so the net force exerted on the block must be zero. Thus, the normal force FN equals the weight Fmg, and the force of friction Ff equals the applied force Fpull

By the equilibrium of forces actin on the system, given that the applied force acts at an angle, θ, with the horizontal, we have;

The normal force is equal to the weight less the vertical component of the applied force;

That is we have, FN = Fmg - Fpull × sin(θ)

The friction force similarly, is equal to the horizontal component of the applied force;

Ff = Fpull × cos(θ)

The wrong items are therefore as follows;

1) The normal for FN equals the weight Fmg

1 i) The normal force is weight less the vertical component of the applied force Fpull

FN = Fmg - Fpull × sin(θ)

2) The force of friction, Ff, equals the applied force Fpull

2 i) The force of friction equals the horizontal component of the applied force Fpull

Ff = Fpull × cos(θ).

Find the acceleration if the force is 10 N and the mass is 5 kg.

Answers

Explanation:

Hey there!

Given;

F = 10N

Mass = 5kg

Acceleration due to gravity (a)= 9.8m/s^2

We know that;

F = m*a

Put all values and solve for "m".

10 = m*9.8

Simplify it.

[tex]m = \frac{10}{9.8} [/tex]

Therefore, m= 1.0204kg.

Hope it helps...

What if the height is 85m, then how long long does it stay in the air?

Answers

Explanation:

hamburger cheesecake

Write a brief summary of table tennis or tennis

Answers

Table tennis (or Ping Pong as it is more commonly known in the US) was invented in 1880s Victorian England. It was an adaptation the popular game lawn tennis as a way of continuing to play inside during the winter when it was too cold to play outside.

Answer:

A point is won by a player when the opponent cannot hit the ball with a racket over the net and onto the other side of the table. Each game is won by being the first player to win 11 points, and be at least 2 points ahead of their opponent. The equipment needed to play table tennis would be a table, rackets, and balls. Some of the rules are no hand-on table (even leaning your hands on the table is not allowed!) Also, if the ball hits the net, you have to serve again.

Consider a buggy being pulled by a horse.
Which is correct?
1. The horse can pull the buggy forward only
if the horse weighs more than the buggy.
2. The force on the buggy is as strong as the
force on the horse. The horse is joined to the
Earth by flat hoofs, while the buggy is free to
roll on its round wheels.
3. The horse pulls before the buggy has time
to react so they move forward.
4. The horse pulls forward slightly harder
than the buggy pulls backward on the horse,
so they move forward.

Answers

Answer:

Option 2

Explanation:

Answer:B

Explanation:because she started of with no money and now she made her money up


When an object is said to be in free fall, the object is actually moving..

Answers

... moving initially with the acceleration of gravity (9.8 m/s^2)

are eggs a element, a compound, or a mixture

Answers

Answer:

I'm gonna go with compund

Answer: a mixture because it is made out of some other substances.

Explanation:

That
Vhy do people engage in various
e long answer to the following questions.
Which tradition of our society needs to be reform
and write the ways to reform them
of Nepal​

Answers

Hey can you please help me?

Help please and thank you =D

Answers

Answer:

Explanation:

Biomass is the total quantity or weight of organisms  in a given area or volume.

What is the name of the kind of stretch that involves stretching as far as you can and then holding for 10-30 seconds

Question 2 options:

PNF


ballistic


dynamic


static

Answers

Answer:

Static stretching.

Explanation:

It is static stretching because it is a form of stretching which u can do actively for a period of time and you hold position for about 30 to 60 seconds which allow the muscles and connective tissues to lengthen. It is done after work out with out movement in order to loosen up muscles so as to gain flexibility.

A. 2kg

B. 6kg

C. 8kg

D. 14kg

Answers

Answer:

A

Explanation:

We know the force is (16N-12), which is 4N, and we know the acceleration is 2 m/s^2. Meaning, we can solve the formula m = F / a (mass equals force divided by acceleration), and we get 2kg.

what is a unit of electrical flow called

Answers

Answer:

AMPERE - A unit of measure for the flow of current in a circuit. One ampere is the amount of current flow provided when one volt of electrical pressure is applied against one ohm of resistance. The ampere is used to measure electricity much as "gallons per minute" is used to measure water flow.

Explanation:

hope it helps

A unit of electrical flow is known as ampere

What is the weight of a body at a centre of Earth​

Answers

The weight of a body placed at centre of Earth is 0. Because the mass at the exact cenrte of the earth is zero.
the weight of the earth is 0

If I travel at a velocity of 2m/s to the right for 4 seconds, what is my displacement?

Answers

the answer is 2 because since it’s velocity u divide

match the letter with the layer

Answers

Answer:

Thermosphere A,B

Mesosphere B,C,D

Stratosphere D,E,F

Troposphere G

Hope this helps please give me brainliest!

God bless :)

Match these items.

1. alpha rays
2. plasma
3. fission
4. beta rays
5. gamma rays
6. radioactive
7. fusion


a. splitting/dividing
b. joining together
c. release of atomic particles
d. high-energy light
e. helium nuclei
f. electrons
g. ions and free electrons

Answers

Answer:

Alpha Rays - Helium Nuclei

Gamma Rays - High-Energy Light

Fusion - Joining Together

Radioactive - Release of Atomic Particles

Beta Rays - Electrons

Fission - Splitting/Dividing

Plasma - Ions and Free Electrons

Explanation:

The correct match for the given terms:

1. alpha rays -Helium nuclei

2. plasma - ions and free electrons

3. fission - splitting/dividing

4. beta rays - electrons

5. gamma rays - high-energy light

6. radioactive - release of atomic particles

7. fusion -  joining together

What is radioactivity?

The nucleus of an atom exhibits the phenomenon of Radioactivity due to its instability. Energy will be lost due to the emission of radiation from the unstable nucleus of an atom.

The electrostatic force of repulsion and the powerful forces of attraction keep the nucleus together. The instability increases as the size of the nucleus increases because the mass of the nucleus increases when concentrated. Therefore, Plutonium, Uranium is extremely unstable and undergoes radioactivity.

The emitted radiation from radioactivity always consists of alpha, beta, and gamma particles. Gamma Decay is photons having high energy, Beta Decay consists of Electrons while Alpha Decay consists of a Helium nucleus.

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An object is moving east with a constant speed of 30 m/s for 5 seconds. What is the object’s acceleration?

Answers

Answer:

6 m/s²

Explanation:

From the question given above, the following data were obtained:

Velocity (v) = 30 m/s

Time (t) = 5 s

Acceleration (a) =..?

Acceleration is defined mathematically as:

Acceleration (a) = Velocity (v) /time (t)

a = v /t

With the above formula, we can obtain the acceleration of the object as follow:

Velocity (v) = 30 m/s

Time (t) = 5 s

Acceleration (a) =..?

a= v/t

a= 30/5

a = 6 m/s²

Therefore, the acceleration of the object is 6 m/s² due East.

Answer and I will mark Branliest!!!
3. _____________is a means of creating force leading to movement. *


A. Propulsion

B. Dialysis

C. Magnification

D. Osmosis

Answers

A. Propulsion is the answer

Answer:

propulsion

Explanation:

A long jumper leaves the ground at an angle of 25 degrees with respect to the horizontal with a resultant velocity of 30 ft/s. What was the horizontal velocity of the jumper at takeoff? What was the vertical velocity at takeoff? How high did the COM rise above the point of takeoff?

Answers

Answer:

The horizontal component of the velocity is 27.19 ft/s

The vertical component of the velocity at takeoff is 12.68 ft/s

The vertical distance traveled by the jumper is 8.2 ft

Explanation:

Given;

angle of projection or takeoff, θ = 25°

the resultant velocity, v = 30 ft/s

The horizontal component of the velocity is given by;

[tex]v_x = vcos \theta\\\\v_x = 30 * cos(25)\\\\v_x = 27.19 \ ft/s[/tex]

The vertical component of the velocity at takeoff is given by;

[tex]v_y = vsin \theta\\\\v_y = 30 * sin(25)\\\\v_y = 12.68 \ ft/s[/tex]

The vertical distance traveled by the jumper is given by;

[tex]v_y_f^2 = v_y_o^2 +2(-g)h\\\\v_y_f^2 = v_y_o^2 -2gh\\\\0 = 12.68^2 - (2*9.8)h\\\\0 = 160.78 - 19.6h\\\\19.6h = 160.78\\\\h = \frac{160.78}{19.6}\\\\ h = 8.2 \ ft[/tex]

write about any five form of energy with example​

Answers

Answer:

The different types of energy include thermal energy, radiant energy, chemical energy, nuclear energy, electrical energy, motion energy, sound energy, elastic energy and gravitational energy.

Answer:

Chemical energy

Explanation:

Ex. gasoline, chemical batteries, and wood

Atomic theory describes the motion of particles in solids, liquids, and gases. Which statement best describes the particles in a given state of matter?
A. The particles in gases have a fixed position but can vibrate.
B. The particles in solids have a fixed position but can vibrate.
C. The particles in solids are very close to each other but they are able to move past each other. D. The particles in gases are very close to each other but they are able to move past each other.

Answers

B is the answer because a solid would not be able to hold its shape if it was able to move around

Answer:

B. The particles in solids have a fixed position but can vibrate

Explanation:

Answer choice "A" is incorrect because particles in gases are not held by bonds and move freely (not fixed).

Answer choice "C" is incorrect because while solids are close in proximity, their particles do not move past each other.

Answer choice "D" is incorrect because while the particles in gases are able to move past each other, they are not arranged in close proximity. In fact, them being spread out and free is why they are able to move past each other.

What disagreement did Sigmund Freud have with both Josef Breuer and Jean Martin Charcot?
A. whether hypnosis was a neurological or psychological phenomenon
B. whether hypnosis should be conducted with pregnant women
C. whether hypnosis had any value as a curative remedy for patients
D. whether hypnosis was an effect of a "hidden observer" or the id

Answers

Answer:

The correct answer is 'A'

Explanation:

I guessed and was correct.

Freud backed Bernheim's efforts to establish hypnosis and suggestion as acceptable fields of study for science and to advance them as therapeutic tools. Thus, option A is correct.

What is the neurological or psychological phenomenon?

Both neurologists and psychiatrists treat illnesses and ailments that affect the brain and the psyche. However, while psychiatrists focus on psychological issues, neurologists are experts in physiological illnesses.

According to medical terminology, neurological disorders are conditions that impact the spinal cord, brain, and body's nerves.

A variety of symptoms can be caused by structural, metabolic, or electrical abnormalities in the brain, spinal cord, or other nerves.

Therefore, whether hypnosis was a neurological or psychological phenomenon.

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Jayden created a cell model using a glass bottle with a cork. He said that the cork could be opened to eliminate waste material that’s generated after digestion in the cell. A number of particles resembling organelles are in the bottle. Which organelle’s function will cause Jayden to open the cork to eliminate waste material?
A. chloroplast
B. cytoplasm
C. nucleus
D. lysosome
E. ribosome

Answers

Answer:

D. lysosome

Explanation:

A. chloroplast  - the role of the chloroplast is to trap light energy and perform photosynthesis

B. cytoplasm  - the cytoplasm is the fluid-filled space inside the cell

C. nucleus  - the nucleus houses the genetic material

D. lysosome  - This is the correct answer. Lysosomes trap and digest waste products in the cell and break them down into reusable components.

E. ribosome - the ribosomes are protein synthesis machines

Ben has two carts with masses of 0.1 kg and 0.2 kg. He pushes the smaller cart toward the larger cart and they collide. The smaller cart rebounds back in the direction it came from. He measures the force on the smaller cart from the larger cart to be 5 N. What was the magnitude of the acceleration of the smaller cart?

Answers

Answer:

The acceleration of the smaller cart is 50 m/s²

Explanation:

The given masses of the carts are 0.1 kg and 0.2 kg

The direction in which the small cart bounces = In the revers to its initial direction

The force exerted by the larger cart on the small cart = 5 N

Therefore, we have;

Force acting on smaller cart = Mass of smaller cart  × Acceleration of the smaller cart

∴ The acceleration of the smaller cart = Force acting on smaller cart/(Mass of smaller cart)

The acceleration of the smaller cart = 5 N/(0.1 kg) = 50 m/s²

The acceleration of the smaller cart = 50 m/s².

A student is on a skateboard facing a wall. The student and skateboard have a mass of 75 kilograms. The student pushes off of the wall with a force of 100 Newtons. What is the force of the wall pushing back on the student? What is the acceleration of the student as she moves away from the wall?

Answers

Answer:

F=-100N; a=1.3m/s^2

Explanation:

Force is being made by student, so wall counteracts that force by not moving so it is equally opposite.

The force of the wall pushing back on the student would be 100 Newtons, and the acceleration of the student as she moves away from the wall would be 1.33 m/s²

What is Newton's third law of motion?

Newton's third law of motion state that for every action force there exists a complementary reaction force that balances it.

As given in the problem a student is on a skateboard facing a wall. The student and skateboard have a mass of 75 kilograms. The student pushes off of the wall with a force of 100 Newtons,

The force of the wall pushing back the student = 100 Newtons

The acceleration of the student = 100/75

                                                     =1.33 m/s²

Thus, The student would be pushed back against the wall by a force of 100 Newtons, and she would accelerate away from the wall at a rate of 1.33 m/s².

Learn more about Newton's third law of motion here, refer to the link;

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help awnsers need expertsss​

Answers

Answer:

ok the answer for number 14 is 0.5 0 kilograms to get this answer this is my explanation ok where try that the bottle of water when full has a mass of 1.30 kg and one half of the water is poured away the mass of the bottle and the half of water is 0.90 kilograms so to get the the water that was poured out we will subtract 0.90 kg from 1.30 kilograms to get 0.40 kilograms so this 0.40 kilograms is the half of the water that was poured out meaning the other half is also 0.40 so to get the mass of the bottle we will take mass of the bottle plus the water - mass of the water so it will be 1.30 kilograms - 0.80 kilograms to get 0.50 kilograms.and number 15 I don't know I'm sorry about that

please help
Which equipment is best to hold and to measure liquids?
A). flask and graduated cylinder
B). scale and ruler
C). caliper and thermometer
D). stopwatch and beaker

Answers

Answer:

I'm pretty sure that the answer is A

what are three effects of using only non-renewable resources? please help

Answers

Non-renewable resources need to be burnt. This means we release heat into the air, we release carbon dioxide into the air which causes greenhouse effect, we also reduce fossil fuels which are needed for other purposes.

is isopropyl alcohol a element compound or mixture

Answers

Answer:

Isopropyl is an element compound.

Explanation:

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