A rescue pilot drops a survival kit while her plane is flying at an ultitude of 2500m with a forward velocity of 95m. If the air friction is disregarded, how far advance of the starving explorer’s drop zone should she release the package?

Answers

Answer 1

Answer:

Approximately [tex]2.1\; \rm km[/tex], assuming that [tex]g = -9.8\; \rm m \cdot s^{-2}[/tex].

Explanation:

Let [tex]t[/tex] denote the time required for the package to reach the ground. Let [tex]h(\text{initial})[/tex] and [tex]h(\text{final})[/tex] denote the initial and final height of this package.

[tex]\displaystyle h(\text{final}) = \frac{1}{2}\, g\, t^2 + h(\text{initial})[/tex].

For this package:

Initial height: [tex]h(\text{initial}) = 2500\; \rm m[/tex].Final height: [tex]h(\text{final}) = 0\; \rm m[/tex] (the package would be on the ground.)

Solve for [tex]t[/tex], the time required for the package to reach the ground after being released.

[tex]\displaystyle t^{2} = \frac{2\, (h(\text{final}) - h(\text{initial}))}{g}[/tex].

[tex]\begin{aligned} t &= \sqrt{\frac{2\, (h(\text{final}) - h(\text{initial}))}{g} \\ &\approx \sqrt{\frac{2\times (0\; \rm m - 2500\; \rm m)}{(-9.8\; \rm m \cdot s^{-2})}} \approx 22.588\; \rm s\end{aligned}[/tex].

Assume that the air resistance on this package is negligible. The horizontal ("forward") velocity of this package would be constant (supposedly at [tex]95\; \rm m \cdot s^{-1}[/tex].) From calculations above, the package would travel forward at that speed for about [tex]22.588\; \rm s[/tex]. That corresponds to approximately:[tex]95\; \rm m \cdot s^{-1} \times 22.588\; \rm s \approx 2.1 \times 10^{3}\; \rm m = 2.1\; \rm km[/tex].

Hence, the package would land approximately [tex]2.1\; \rm km[/tex] in front of where the plane released the package.


Related Questions

HELP PLS 100 POINTS TAKING TEST RN


Suppose you are in a car that is going around a curve. The speedometer reads a constant 30
miles per hour. Which of the following is NOT true?

You and the car are accelerating.

Your speed is constant.

Your velocity is constant.

Your acceleration is constant.

Answers

Answer:

sorry I hate when people press your question and answer with a fake answer for points, however you said it was 100 points and it's not even close lol but it is "your speed Is constant" that is not true

help me!
Bill left a hammer out in the rain all day. The next morning it had rust on it.
Oxygen and a metal chemically combine to form rust. What is rust an example of?
O a mixture
• a solution
an element
a compound

Answers

It is a compound yep

Answer:D.Compound

Explanation: internet

The primary job of a(n) ____
is to increase the power of a modified radio wave.

Answers

The primary job of a(n) ____

is to increase the power of a modified radio wave.

Answer:

amplifier

Explanation:

Hope it helps:)

#CarryOnLearning

Answer: Amplifier

Explanation: Edge 2021

Have a great day :D

You work at a retail store. Recently, paychecks have had errors and there have been many employee complaints. You have been assigned to head the team to redesign the payroll software program to solve this problem. Use the drop-down menu to organize the steps you will take in writing the problem statement. Write the new payroll software program. Clearly state the vision of how the stakeholders think things will function with the new payroll system. Ask for stakeholder input on the problem and possible solutions?1.C 2.B 3.A​

Answers

Answer:

C,B,A

Explanation:

Answer:

first one C

second one B

third one A

Explanation:

i hope you have a good day ;0

A force of 6.0 N is applied horizontally to a 3.0 kg crate initially at rest on a horizontal frictionless surface. After the crate is pushed for 1.5 seconds, it has a velocity of 3.0 m/s. Does this support Newton's second law of motion, that force equals mass times acceleration? Explain. 

a. Yes, because the acceleration of the crate is 2.0 m/s².

b. No, because the acceleration of the crate is 2.0 m/s².

c. Yes, because the mass and the velocity of the crate are equal.

d. No, because the mass and the velocity of the crate are equal. ​

Answers

Answer:

a. Yes, because the acceleration of the crate is 2.0 m/s².

Explanation:

Given

[tex]Force = 6N[/tex] --- f

[tex]Mass = 3kg[/tex] --- m

[tex]Time = 1.5s[/tex] --- t

[tex]Velocity = 3.0m/s[/tex] --- v

Required

Does the system support [tex]F=ma[/tex]

Yes, it does and this is shown below

The crate is initially at rest; so:

[tex]u = 0[/tex]

Using the first equation of motion

[tex]v = u + at[/tex]

Substitute values for v, u and t

[tex]3 = 0 + a*1.5[/tex]

[tex]3 = 1.5a[/tex]

Make a the subject

[tex]a = 3/1.5[/tex]

[tex]a = 2[/tex]

Using [tex]F = ma[/tex]

Substitute values for F and m

[tex]6 = 3 * a[/tex]

Divide both sides by 3

[tex]6/3 = 3/3 * a[/tex]

[tex]2 = a[/tex]

[tex]a = 2[/tex]

In both cases:

[tex]a = 2[/tex]

Hence, option (a) is correct.

Calculate the resistance of an electric blanket that draws 9 A to transform 50 W of energy.

Answers

Answer:

The resistance is 0.617Ω.

Explanation:

Given that the formulas are V = I × R and P = I × V so when you substitute the V formula into P formula, you will get P = I² × R. Using this formula, you can find the resistance :

P = I² × R

50 = 9² × R

50 = 81 R

50 ÷ 81 = R

R = 0.617Ω (3sf)

I WILL GIVE BRAINLIEST
How could you explain that two objects of the same volume have different buoyancy in water???

HELP ITS URGENT

Answers

Answer:

Explanation:

Take for example you place two eggs in the water. One starts to sink and one remains floating. They have the same volume but the one that sinks is cracked just a little, which as soon as it hits the water, water starts to go in the egg. Then that changes the volume of the egg. (I've done this expirement before) It can also be the way you place the object in the water, or one object has been in the water longer. The buoyancy can be the way they are positioned/placed in the water. One may be more absorbant to the water as well.

I hope you understand what I am trying to say.

C) If your displacement is 19.3m and your final position is 31.8m, what was your initial position?​

Answers

Answer:12.5

Explanation: Subtract

help ;-;
Replace the pencil with an iron nail (Doc.19 in pic)


1. does the lamp glow?

2. does an electric current flow through the lamp?


3. Does the iron nail conduct the electric current?​

Answers

Answer:

all qn 1,2,3 have same answer ,. Yes,. hope it helps

please help! easy science! second pic is the question and possible answers (A B C or D) its one question! brainliest promised!

Answers

Answer:

Please do not take my word for this at all, but this is what I found, "When the pendulum swings back down, the potential energy is converted back into kinetic energy. At all times, the sum of potential and kinetic energy is constant." So I think the answer is B also you are anime fan too lol :DD I love hinata

Explanation:

At what point in this sequence of events is potential energy
being converted to kinetic energy?
A. When the spring is recoiling B. When the spring is fully stretched. C. When the spring is fully recoiled. D. When the spring is stretching

Answers

Answer:

your answer is C

Explanation:

the spring when fully recoiled is at maximum PE and will then convert to KE

A layer of water Δx m thick which lies x m above the bottom of the tank will be rectangular with length 8 m. Using similar triangles, we can see that it will have widt of_____m

Answers

Answer:

x

Explanation:

The question relates to the energy required to pump water out of the

spout at the top of the triangular prism tank.

The width of the layer of water Δx thick is x m.

Reasons:

The location of the layer Δx m thick = x meters above the bottom

The length of the triangular (cross-section) prism tank = 8 meters

The length of the layer Δx thick layer = 8 meters

From the attached drawing of the cross-section of the tank, we have;

The height of the triangular tank cross-section = 3 meters

The length of the base of the triangular cross-section = 3 meters

By similar triangles, we have;

[tex]\dfrac{Height \ of \ Tank}{Base \ length \ of \ tank}= \dfrac{Height \ of \ layer \ with \ thickness \ \Delta x }{Width \ of \ layer \ with \ thickness \ \Delta x}[/tex]

Which gives;

[tex]\dfrac{3}{3} =\dfrac{x}{Required \ width}[/tex]

[tex]\dfrac{3}{3} =1 = \dfrac{x}{Required \ width}[/tex]

Required width × 1 = x

The required width = x m

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Which part of the electromagnetic spectrum is nearest to radio waves?

X-rays
microwaves
gamma rays
ultraviolet light

Answers

Answer:

i believe it is the microwaves that is closest to the radio waves.

Explanation:

The microwaves are the part of the electromagnetic spectrum is nearest to radio waves.

What is meant by electromagnetic spectrum?

The range of all EM radiation arranged from high to low frequency (short to long wavelength) according to their frequency or wavelength. is known as the electromagnetic spectrum (EM).

Here,

The visible light from a bulb in your home and the radio waves from a radio station are two examples of electromagnetic radiation. Radiation is energy that travels and disperses as it does.

The properties of the electromagnetic spectrum include the ways in which signals can propagate and how much data they can carry. Signals delivered at higher frequencies typically propagate more quickly but can carry more data in a given amount of space.

The electromagnetic spectrum begins with the lowest frequency radio waves and moves up in frequency and down in wavelength from there. Radio waves are followed by visible light, infrared radiation, and lastly microwaves.

Hence,

The microwaves are the part of the electromagnetic spectrum is nearest to radio waves.

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Refer to your Expeditions in Reading book for a complete version of this text.

Based on “Solar Power for Public Buildings,” which answer best states the author’s position on the use of solar power in California?


A The use of solar energy will double the pollution produced in California.

B The state’s tap water will be purer if processed in solar-powered plants.

C Increasing the use of solar power will positively impact the environment.

D Solar panels remove most of the toxic chemicals found in the atmosphere.

Answers

Answer:

d

Explanation:

Answer:

D. Solar panels remove most of the toxic chemicals found in the atmosphere.

People do not believe it is possible to use the sun's energy to create electricity.

Explanation:

I did the test.

What are two main types of exercise???

Answers

Answer:

Endurance exercise and Strength exercise

Explanation:

Answer:

Aerob exercise and strength exercise

Explanation:

Is gravitational energy a form of kinetic energy or potential energy? Why do you think that?

Please help due today!!​

Answers

Answer:

When something is lifted, work is done on the object against the pull of gravity. This work is converted to a form of potential energy called gravitational potential energy. When the item falls towards Earth like an apple from a tree, gravitational potential energy is converted into kinetic energy.

If a train conductor is describing the speed of the train as well as the direction of the train is going to then the train conductor said to be described with the trains

Answers

Answer:

With all of that information, he's telling us the train's VELOCITY.

Explanation:

Velocity is a vector quantity made of two parts: speed and direction.

What are some of the similar features of position vs time and velocity vs time

Answers

I agree with the other comment

How far will a car travel in half an hour at
30 mph?

Answers

15miles, if it is going 30 miles per hour, and you drive for half an hour, you drive 15 miles

Answer:

The car will travel the distance of 15 miles

S= D/T

therefore

D=ST

D = Distance

S = Speed (30 mph)

T = Time (0.5 Hours)

D = 30 * 0.5 = 15

I need help with this asap please!!

Answers

Answer:

9000Ns

Explanation:

Given parameters:

Mass of sled  = 100kg

Net force  = 150N

Time  = 1min  = 60s

Unknown:

Total impulse  = ?

Solution:

The total impulse on the body can be derived using the expression below;

   Impulse  = Force x time

  So;

      Impulse  = 150 x 60  = 9000Ns

Show the steps im confused.
The answer is 14 m/s

Answers

Answer:

14 m/s

Explanation:

KE=1/2mv^2

5880J= 1/2(60kg)v^2

5880J=(30)(V^2)

5880/30=V^2

196=v^2

square root of 196 is 14

So u divide the mass by two
Then KE/M and square root it
And u should end up with (image)
And solve

I’m not good at explaining
I hope this helps:)

what's is the kinetic energy of a .235-kg baseball thrown at 50.0m/s

Answers

Answer:

34.51

Explanation:

k=1/2mv² is the kenetic energy equation to fill is in

k=[1/2(0.235)×50]²

Plss help with my science

Answers

Answer:

rotates, axis,not sure,day, not sure, night, revolves, not sure, hemisphere, towards, summer, away, winter

Explanation:

Scientists have made predictions about the universe today based on the big bang theory. Observations that match these predictions support the big bang theory. Which of the following observations have scientists made that provides evidence of the big bang?

A. Light from the moment of the big bang has been observed.
B. The percentages of hydrogen and helium match the predicted percentages.
C. Galaxies are moving toward each other as predicted by the big bang theory.
D. Many galaxies that are similar to the Milky Way have been observed.

Answers

Answer:

the answer is b

Explanation:

Answer:

b

Explanation:

I just did it on a p e x

HELPPPPPPP!!!!!

why are cations drawn towards cathode and anions towards anode?​

Answers

Explanation:

Cations are positive and anions are negative, since opposite charged attract, the cations are drawn towards the cathode, which is the negatively charged electrode and anions are drawn towards the anode (positive electrode)

Answer:

because cations are negatively charged particles and their attracted towards a positive electrode that is anode while anions and positively charged particles and I attracted towards the negative electrode that is cathode

Explanation:

Why do you think spacecraft that carry instruments to collect data about objects in space are called probes?

Answers

Answer:

my mind cant comprehend a shing word u just said

Explanation:

The probes collect data, they capture the movement in space, therefore, spacecraft that carry instruments to collect data about objects in space are called probes, So the given statement is correct.

What are Probes?

Any conductor that is placed into a plasma and gathers current is a probe. Measurements of the current on the probe as a function of the bias potential given to the probe can be used to identify a plasma's properties.

Such probes affect their surroundings while directly detecting electron and ion flows in the plasma. Any conductive material (wire, foil, chamber walls, etc.) can serve as a plasma probe; nevertheless, precise control over the probe's size, shape, and substance is necessary to achieve detectable plasma levels. Astronauts are not present aboard probes. Scientists can analyze the data the probes relay back to Earth. Sputnik 1 was the first spacecraft to launch.

Because probes probably collect data, they capture the movement in space, therefore, spacecraft that carry instruments to collect data about objects in space are called probes.

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0.0135 kg of steam at 100°C is
cooled, which turns it into water at
50.0°C. How much heat has been
removed? (Remember, it has to
change phase before cooling
down.)
Boil Pt (°C)
Material Melt Pt (°C) 4 0/kg)
Water
0
3.33.105
L(/kg) c (J/(kg*C))
2.26.106 4186
100
(Unit = J)

Answers

Answer:

33333.35 kg

Explanation:

I got it right on Acellus, rounded to 33300 sigfigs

When 0.0135 kg of steam at 100°C is cooled, turns it into water at 50.0°C. Then 33,342.45 J of heat has been removed.

What is latent heat?

Latent heat is the heat absorbed or released by a substance during a change in its physical state without a corresponding change in temperature. This means that the heat energy is being used to break or form intermolecular bonds between the particles in the substance, rather than raising or lowering the temperature. Examples of processes that involve latent heat include melting, freezing, vaporization, and condensation. The amount of heat required or released during these phase transitions is dependent on the substance and the amount of material undergoing the change.

Here in the question,

To solve this problem, we need to use the formula for the heat required to change the phase of a substance, which is given by:

Q = m * L

where Q is the heat required, m is the mass of the substance, and L is the specific latent heat of the substance.

In this case, we need to find the heat required to change 0.0135 kg of steam at 100°C to water at 100°C, and then cool it down to 50°C.

First, we need to find the heat required to change the phase of the steam to water at 100°C. Using the table given, we can see that the specific latent heat of vaporization for water is 2.26 × 10^6 J/kg. So the heat required to change 0.0135 kg of steam to water at 100°C is:

Q1 = m * L = 0.0135 kg * 2.26 × 10^6 J/kg = 30,510 J

Next, we need to find the heat required to cool the water from 100°C to 50°C. Using the specific heat capacity of water, which is 4186 J/(kg°C), we can calculate the heat required as:

Q2 = m * c * ΔT = 0.0135 kg * 4186 J/(kg°C) * (100°C - 50°C) = 2832.45 J

The total heat removed is the sum of the heat required to change the phase of the steam and the heat required to cool the water:

Q = Q1 + Q2 = 30,510 J + 2832.45 J = 33,342.45 J =33.34245 kJ.

Therefore, 33,342.45 J of heat has been removed.

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The inheritance of genetic traits from parents to children follows predictable rules. Knowing that each parent contributes genes equally to each child, what determines an inherited trait such as eye color? a.Only the interaction between dominant genes. Only the interaction between dominant genes. b.Only the interaction between recessive genes. Only the interaction between recessive genes. c.The interaction between dominant and recessive genes. d.The interaction between dominant and recessive genes. The interaction between dominant and recessive genes does not determine inherited traits. The interaction between dominant and recessive genes does not determine inherited traits.

Answers

Answer:

EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Explanation:

PLEASE HELP BRANILIEST
The earliest goalie masks used were made from______________________.
Group of answer choices

Stone

Candy

Fiberglass

Wood

Answers

Answer: It’s Fiberglass

Answer:

The earliest goalie masks used were made from Fiberglass.

Explanation:

Hope that helps

Have a good day

The total amount of carbon dioxide in the atmosphere is estimated to have decreased by 10 to 15 percent since 1900.


True False

Answers

Answer: False

Explanation:  

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