An Alaskan rescue plane traveling 46 m/s drops a package of emergency rations from a height of 101 m to a stranded party of explorers. The acceleration of gravity is 9.8 m/s^2. Where does the package strike the ground relative to the point directly below where it was released? Answer in units of m.

Answers

Answer 1

Answer:

The package strikes 207 m at the ground relative to the point.

Explanation:

Given that,

Speed = 46 m/s

Height = 101 m

Acceleration = 9.8 m/s²

We need to calculate the time

Using equation of motion

[tex]s=ut+\dfrac{1}{2}gt^2[/tex]

Put the value in the equation

[tex]101=0+\dfrac{1}{2}\times9.8\times t^2[/tex]

[tex]t=\sqrt{\dfrac{2\times101}{9.8}}[/tex]

[tex]t=4.5\ sec[/tex]

We need to calculate the distance where the package strikes

Using formula of distance

[tex]x=vt[/tex]

Put the value into the formula

[tex]x=46\times4.5[/tex]

[tex]x=207\ m[/tex]

Hence, The package strikes 207 m at the ground relative to the point.


Related Questions

What is a non-example of Newton's 3rd law of motion?

Answers

Answer:

Unbalanced forces are not examples of Newton's third law because not all opposite reactions are unbalanced forces.

Explanation:

You are riding a bicycle. If you apply a forward force of 172 N, and you and the bicycle have a combined mass of 51 kg, what will be the forward acceleration of the bicycle? (Assume there is no friction)​

Answers

Answer:

The answer is 3.37 m/s²

Explanation:

The acceleration of an object given it's mass and the force acting on it can be found by using the formula

[tex]acceleration = \frac{force}{mass} \\[/tex]

From the question

force = 172 N

mass = 51 kg

We have

[tex]acceleration = \frac{172}{51} \\ = 3.372549019...[/tex]

We have the final answer as

3.37 m/s²

Hope this helps you

Which statement best describes what Kendall can do?

Answers

Answer: Explanation:

She can measure the volume and mass of the marble, the volume and mass of the water, and the volume and mass of the graduated cylinder. She can measure the volume and mass of the marble, the volume and mass of the water, and the mass of the graduated cylinder.

What is the legal height the player is allowed to serve from a. Above the waist B. Below the waist C. On the waist D. above the chest

Answers

Answer: Option B.

Explanation:

I guess that this refers to the Badminton rules, particularly to the position of the racket (or the head of the racket, where the "head" is the part with the net, that you use to hit the shuttle) when serving.

The head of the racket must be swung from below your waist. So the head of the racket must be below your waist before you do the service (With a part of the head is enough).

Then the correct option is B. Below the waist.

On an icy day, you worry about parking your car in your driveway, which has an incline of 12º. Your neighbor's driveway has an incline of 9.0º, and the driveway across the street is at 6.0º. The coefficient of static friction between tire rubber and ice is 0.15. Which driveway(s) will be safe to park in?

Answers

Answer:

Driveway across the street ([tex]\theta = 6^{\circ}[/tex]) is the only choice for a safe parking.

Explanation:

Let suppose that car is represented by a particle, then we proceed to construct its free body diagram and corresponding equations of equilibrium:

[tex]\Sigma F_{x'} = f - W\cdot \sin \theta = 0[/tex] (Eq. 1)

[tex]\Sigma F_{y'} = N-W\cdot \cos \theta = 0[/tex] (Eq. 2)

Where:

[tex]f[/tex] - Static friction force, measured in newtons.

[tex]N[/tex] - Normal force on the car from the ground, measured in newtons.

[tex]W[/tex] - Weight of the car, measured in newtons.

[tex]\theta[/tex] - Driveway inclination, measured in sexagesimal degrees.

By applying definitions of maximum static friction force and weight, we expand the system of equations presented above:

[tex]\mu_{s}\cdot N -m\cdot g\cdot \sin \theta = 0[/tex] (Eq. 1b)

[tex]N - m\cdot g \cdot \cos \theta = 0[/tex] (Eq. 2b)

Where:

[tex]\mu_{s}[/tex] - Static coefficient of friction, dimensionless.

[tex]m[/tex] - Mass of the car, measured in kilograms.

[tex]g[/tex] - Gravitational acceleration, measured in meters per square second.

Then, we substitute normal force and simplify the resulting expression:

[tex]\mu_{s}\cdot m\cdot g \cdot \cos \theta -m\cdot g \cdot \sin \theta = 0[/tex]

[tex]\mu_{s} = \tan \theta[/tex]

[tex]\theta = \tan^{-1}\mu_{s}[/tex] (Eq. 3)

Based on such result, we can conclude that if driveway inclination is greater than value reported, then car shall not be safe in case of parking. Our reference angle is: ([tex]\mu_{s} = 0.15[/tex])

[tex]\theta = \tan^{-1} 0.15[/tex]

[tex]\theta \approx 8.531^{\circ}[/tex]

By direct comparison, we find that driveway across the street ([tex]\theta = 6^{\circ}[/tex]) is the only choice for a safe parking.

A ping pong ball rolls off a 5.Om high table and lands on the floor, 3.0m
away from the table. How long is the ball in the air?

Answers

Answer:

The ball was 1.01 seconds in the air

Explanation:

Horizontal Motion

When an object is thrown horizontally with a speed v from a height h, the range or maximum horizontal distance traveled by the object can be calculated as follows:

[tex]\displaystyle d=v\cdot\sqrt{\frac {2h}{g}}[/tex]

If we know the value of d and h, we can solve the equation for v:

[tex]\displaystyle v=d\cdot\sqrt{\frac {g}{2h}}[/tex]

Since the horizontal speed is constant, we can calculate the time the ball was in the air by using the equation:

[tex]\displaystyle t=\frac{d}{v}[/tex]

The ping pong ball rolls from a height of h=5 m and lands on the floor a distance of d= 3 m away from the table. Calculate the speed:

[tex]\displaystyle v=3\cdot\sqrt{\frac {9.8}{2\cdot 5}}[/tex]

[tex]\displaystyle v=3\cdot\sqrt{\frac {9.8}{10}}[/tex]

Calculating:

[tex]v=2.97\ m/s[/tex]

Now calculate the time:

[tex]\displaystyle t=\frac{3}{2.97}[/tex]

[tex]t=1.01\ sec[/tex]

The ball was 1.01 seconds in the air

Note: The time does not depend on the distance d at all. If we borrow the equation from free-fall motion, the time can be calculated with:

[tex]\displaystyle t=\sqrt{\frac {2h}{g}}=\sqrt{\frac {10}{9.8}}=1.01\ sec[/tex]

Which of the following scenarios is possible for the resultant velocity of an airplane in a strong wind to be 150 m/s?

A. The wind is blowing at 10 m/s. The airplane is flying against the wind at 140 m/s.

B. The wind is blowing at 20 m/s. The airplane is flying with the wind at 130 m/s.

C. The wind is blowing at 200 m/s. The airplane is flying with the wind at 50 m/s.

D. The wind is blowing at 50 m/s. The airplane is flying against the wind at 100 m/s.​

Answers

Answer:

B. The wind is blowing at 20 m/s. The airplane is flying with the wind at 130 m/s.

Explanation:

From Physics we get that resultant velocity of an airplane is the sum of an absolute velocity and a relative velocity, that is:

[tex]\vec v_{A} = \vec v_{W}+\vec v_{A/W}[/tex] (Eq. 1)

Where:

[tex]\vec v_{W}[/tex] - Wind velocity, measured in meters per second.

[tex]\vec v_{A/W}[/tex] - Airplance velocity relative to wind, measured in meters per second.

[tex]\vec v_{A}[/tex] - Airplane velocity, measured in meters per second.

If we assume that [tex]\vec v_{W} = 20\,\hat{i}\,\,\,\left[\frac{m}{s} \right][/tex] (The airplane flies with the wind), [tex]\vec v_{A/W} = 130\,\hat{i}\,\,\,\left[\frac{m}{s} \right][/tex], then the resultant velocity of the airplane is:

[tex]\vec v_{A} = 20\,\hat{i}+130\,\hat{i}\,\,\,\left[\frac{m}{s} \right][/tex]

[tex]\vec v_{A} = 150\,\hat{i}\,\,\,\left[\frac{m}{s} \right][/tex]

Therefore, correct answer is B.

Answer:

B. The wind is blowing at 20 m/s. The airplane is flying with the wind at 130 m/s.

Explanation:

127) A swimmer heading directly across a river that is 200 m wide reaches the opposite bank in
6 min 40 s. During this swim, she is swept downstream 480 m. What is the speed of the
current?
A) 0.50 m/s
B) 0.80 m/s
C) 1.2 m/s
D) 1.4 m/s
E) 1.8 m/s

Answers

Answer:

C

Explanation:

The two factors that determine velocity are
A: speed and direction
B: direction and speed
C: position and rate
D:distance and mass
PLEASE HELP ME

Answers

Answer:

A: speed and direction

It is A because it needs to have both in order to have velocity


Can i get brainliest

Explain how mass and velocity play a big role in the amount of momentum an object has.

Answers

Answer:

Momentum is directly proportional to the object's mass and also its velocity. Thus the greater an object's mass or the greater its velocity, the greater its momentum. Momentum p is a vector having the same direction as the velocity v. The SI unit for momentum is kg · m/s.

Answer:

Momentum is directly proportional to the object's mass and also its velocity. Thus the greater an object's mass or the greater its velocity, the greater its momentum. Momentum p is a vector having the same direction as the velocity v. The SI unit for momentum is kg · m/s.

Explanation:

Which of these chemical properties of a sheet of paper

Answers

Answer:

Paper is created mainly from organic compounds such as oxygen, carbon, hydrogen. Paper has non-organic compounds also for improving the properties.

Please mark as brainliest.

First to answer.

For a substance to change from a gas to a liquid, what must happen to its particles?

Answers

As a gas cools, its particles slow down. When particles move slowly enough for their attractions to bring them together, droplets of liquid form. This process, which is the opposite of vaporization, is called condensation. As a gas condenses to a liquid, it releases the thermal energy it absorbed to become a gas. Answer should be A.

When energy is transferred from one part of a system to another, some of the
energy is lost during the transfer and cannot be used as it was intended.
Which two sentences describe examples of this?
A. An electric motor hums as it powers a conveyor belt
B. Stereo speakers emit sound when powered by electrical energy.
O C. Sunlight strikes a solar panel, generating electricity.
O D. A car engine heats up while the car is being driven.
E. Wind moves a turbine, generating electricity.

Answers

Answer:

A. An electric motor hums as it powers a conveyor belt

D. A car engine heats up while the car is being driven.

Explanation:

Energy inefficiency usually involves loss of energy as other forms when they are being converted from one form to another.

The two choices that fit the description includes;

An electric motor humming as it powers a conveyor belt. This energy conversion is supposed to be from electrical to mechanical energy but there is a loss due to the sound energy produced by the motor. Heat energy produced as the car is driven also results in energy inefficiency.

Other choices do not show this inefficiency.  

Answer:

A. An electric motor hums as it powers a conveyor belt

D. A car engine heats up while the car is being driven.

Explanation:

what is the unit of magnetic field​

Answers

Answer:

Hope this helps!~ (Sorry if you get it wrong or I got it wrong-)

Explanation:

The standard SI unit for magnetic field is the Tesla, which can be seen from the magnetic part of the Lorentz force law Fmagnetic = qvB to be composed of (Newton x second)/(Coulomb x meter). A smaller magnetic field unit is the Gauss (1 Tesla = 10,000 Gauss).

~The Confuzzeled homan

Why is the unit of momentum called derived unit​

Answers

Answer:

the SI unit of momentum is :- kg.ms-1

and we know that,

kinetic energy = 1/2 mv2

E=p2/2m

p=(2Em)1/2

so the derived units are (J.kg)1/2

Explanation:

Describe the stratosphere.
What happens to the air pressure when you get closer to Earth?
What are the layers of the atmosphere?

Answers

1. The stratosphere is above the troposphere. This layer of the atmosphere is where planes fly. At the top of the stratosphere, there is a ozone layer.

2. The mesosphere is above the stratosphere. Temperatures drastically drop in the mesosphere. It is the middle layer of the atmosphere.

3. Here are the layers of the atmosphere:

TroposphereStratosphereMesosphereThermosphereExosphere

Hope this helps you!

WILL REWARD brief history of nuclear power. inventors and or who discovered nuclear power and when it was first used.

Answers

Answer:

1951 an experimental nuclear reactor in Arco, Idaho, produces enough electricity to power for light bulbs...... 1954 the atomic energy act authorizes development of nuclear energy for a civilian use.1957 first commercial nuclear-powered Generating Station is built in the shippingport,Pa.

Explanation:

● Enrico Fermi was the one who discovered nuclear power.

● nuclear power was first used

[ December 20, 1951]

What is the direction of the net force that acts on an object undergoing uniform circular motion?
A. The direction of the force is opposite to the object's motion.
B. The direction of the force is the same as the object's motion.
C. The direction of the force is away from the center ot the object's circular path.
D. The direction of the force is toward the center of the object's circular path.​

Answers

Answer B. the direction of force is the same

Which types of data should be modified to change the rate of rotation?
(1 point)
o the number of loops in the coil and the distance from the source of the current
o the number of loops in the coil and the electric current
the dimensions of coils and the distance from the source of the current
o the dimensions of the coils and the electric current

Answers

Answer:

the number of loops in the coil and the electric current.

Explanation:

Just took the test and got it correct.

PHYSICAL SCIENCE, PLEASE HELP!
Which items are matter?

Answers

Answer:

Mobile phone & battery.

How can a small boy balance a big boy
on asea- saw ? Show with a diagram​

Answers

Answ

— How can a small boy balance a big boy on a sea-saw? Show with a diagram. fast please...... Get the answers you need, now!

2 answers

Images for How can a small boy balance a big boy on seesaw ? Show with a diagram​

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Image result for How can a small boy balance a big boy on seesaw ? Show with a diagram​

Explanation:

1. Who were the first three countries to build rocket engines?
O Russia, Germany, China
O Germany, China, Canada
O Russia, USA, Germany
O USA. China, Russia

Answers

Answer:

i think its  Russia, USA, Germany.

Is anyone a boy here lol?

Answers

Answer:

yes there are a lot of boys on this platform

Help! Please: Which is elastic and which is inelastic

Answers

1=inelastic and 2=elastic hope this helps

A gas always spreads out to fill all available space.
True or False
Science Hw

Answers

Answer:

true

Explanation:

i know this im in 6th grade

This is True. Gases spread around freely and take up any available space. For example, there is oxygen. Oxygen is a gas we breathe in and spreads around freely, taking up any space.

a positive charges is brought closer to another positive charge .Explain what happened to the Electric potential as both charges are brought closer together ​

Answers

The potential energy goes up.
When like charges get closer, potential energy increases.

What type of energy comes from the motion of tiny particles of matter?

Answers

answer:

heat

explanation:

Answer: Heat

Explanation: All matter is made of tiny particles called atoms, molecules and ions. These tiny particles are always in motion – either bumping into each other or vibrating back and forth. It is the motion of particles that creates a form of energy called heat (or thermal) energy that is present in all matter

i need help with #3 plz and thank you

Answers

Number 1 the correct answer

What should be the ending of the second element in a covalent compound?

-ide
-ium
the prefix
the subscript

Answers

Answer:

-ide

Explanation:

the second element is names by taking the stem of the element name and adding -ide. a system if numerical prefixes is used to specify the the number if atoms in a molecule.

Answer:

A. -ide

Explanation:

PLEASE HELP!
Which action is an example of a service provided by an organization that receives charitable donations?
A. researching vaccinations
B. advertising new medications
C. contracting to install waiting area carpeting
D. selling hospital supplies for a privately owned company

Answers

Answer:

A

Explanation:

Source: Trust me bro

Giving is a kind deed. Giving back to people in need allows you to grow personally and gives you a higher sense of fulfilment. It also makes you feel good to serve others. Thus, option A is correct.

What charitable donations in researching vaccinations?

Donations to non-profit organizations are considered charitable contributions. Donations may take the form of cash, non-monetary goods, in-kind services, or volunteer time. According to IRS rules, the donation may be tax-deductible.

If you itemize your deductions, you may deduct gifts of money or other property provided to qualifying organizations for charitable purposes. In general, you can deduct up to 50% of your adjusted gross income, but in some circumstances, there are 20% and 30% limitations.

Therefore, A contribution is a gift given to a cause, humanitarian organization, or charity. A donation can come in many ways, such as cash, alms, services, or tangible objects like furniture, toys, food, or automobiles. A donation could meet a demand for transplantable organs or blood.

Learn more about charitable donations here:

https://brainly.com/question/1384222

#SPJ2

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