A model rocket flies horizontally off the edge of a cliff at a velocity of 50.0 m/s. If the canyon below is 100.0 m deep, how far from the edge of the cliff does the model rocket land?

My teacher provided the equations:
x= vt and y = (Vi * t)1/2* a * t^2

Answers

Answer 1

Yes! The second one is one of the constant acceleration equations. We know that our X and Y values are independent of each other, which is why Y doesn't matter here. We only care about the X position value since X and Y are independent! (This is an extremely important rule, trust me)

Therefore, we don't need to calculate a Y velocity or anything like that. We only need Y because we need to find time t. We can use Y to calculate time because although X and Y are independent of each other, they do share the same time traveled!

We know that [tex]V_{0,y}[/tex] = 0, since the car wasn't moving vertically initially. We also know Y initial is 100 and Y final is 0 when it hits the ground! The last thing we know is that the acceleration of any item in free fall is (usually) -9.81. Therefore, using the original Y equation that your teacher gave, we can plug things in and solve for time!

[tex]y_f=y_i+v_it+\frac{1}{2}at^2\\0=100+(0)t+\frac{1}{2}(-9.81)t^2\\-100=-4.905t^2\\t^2=20.39\\t=4.52[/tex]t = 4.52s

(Your teacher simplified the Y equation a little, so it may look slightly different from mine. I started at the original Y equation)

Now we have time! So now we can use the other equation your teacher provided. Again, remember, even though the car is now traveling through the air vertically, that does not affect its x velocity! The car is still traveling at 50m/s!

Therefore, we can just plug and chug!:

x = vt

x = (50)(4.52)

x = 226m

I hope this helps!


Related Questions

When gas condense it ______ heat and temperature _____
A. gain heat, temperature decrease
B. gain heat, temperature increase
C. loses heat, temperature doesn't change

Answers

Answer:

C

Explanation:

The position-versus-time plot of a boat positioning itself next to a dock is shown in the figure (Figure 1).
Rank the six points indicated in the plot order of increasing value of the velocity v, starting with the most negative. Rank the points in order of increasing value of the velocity. To rank items as equivalent, overlap them.
Incorrect: Try Again; 2 attempts remaining: no points deducted

Answers

The points in order of increasing value of the velocity can be ranked as:

B < C < A ≡ F < E < D.

What is velocity?

The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.

According to the figure:

The points in order of increasing value of the velocity can be written as:

B < C < A ≡ F < E < D.

As the displacement becomes from positive to negative near point B, it has the lowest velocity and  as the displacement becomes from negative to positive near point D, it has the highest velocity

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Usain Bolt is wicked fast. In fact, he is the fastest human in the world and
ran at a crazy 10.1 m/s in the Olympic Games. What is his mass if he had
9.890 Joules of kinetic energy in that race?

Answers

Explanation:

KE = (1/2)mv^2 ---> m = 2KE/v^2 = 2(9.890 J)/(10.1 m/s)^2

= 0.194 kg

Note: I think there's something wrong with the energy value given. The mass value for Usain Bolt is too small. That's less than a pound!

A person has a far point of 50 cm. If he is wearing glasses 2 cm from the eyes, determine
the power of the lens needed for him to see distant object clearly.​

Answers

Answer:

The power will be "2.08 D".

Explanation:

According to the question,

The location of the image form lens,

[tex]d_i=50-2[/tex]

    [tex]=48 \ cm[/tex]

We know that,

⇒ [tex]\frac{1}{d_i} -\frac{1}{d_o} =\frac{1}{f}[/tex]

here,

[tex]d_o[/tex] = Object location

[tex]d_i[/tex] = Image location

[tex]f[/tex] = Focal length

On putting the values in the above expression, we get

⇒ [tex]\frac{1}{48} -\frac{1}{\infty} =\frac{1}{f}[/tex]

             [tex]f=48 \ cm[/tex]  

or,

             [tex]f=0.48 \ m[/tex]

hence,

The refractive power will be:

⇒ [tex]P=\frac{1}{f}[/tex]

       [tex]=\frac{1}{0.48}[/tex]

       [tex]=2.08 \ D[/tex]

a three tiered birthday cake rests on a table. From the bottom to the top, the cake tiers weigh 15 N, 8N, and 6N, respectively. What is the magnitude and direction of the normal force acting on the base of the seconf tier

Answers

The normal force on the second tier of the cake is 14N. It is the sum of the weight of the last and the second tier of the cake.

What is Normal force?

The normal force is the force which the surfaces exert to prevent solid objects from passing through each other. Normal force is a contact force. If two objects or surfaces are not in contact, they cannot exert a normal force on each other.

Fₙ = mg

Fₙ = Normal force

Fₙ on the second tier is the sum of the first and second tier of the cake is:

Fₙ = 8N + 6N

Fₙ = 14N

The normal force on the second tier is 14N.

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The lower the temperature of the solvent, the faster the solute will dissolve. True False

Answers

Answer:

false.

Explanation:

Since temperature and kinetic energy of molecules are proportional, the more we increase the temperature of the solvent, the faster the solute will dissolve.

This increase of kinetic energy allows the solvent molecules to more effective break apart the solvent molecules that are held together by intermolecular forces.

A perpendicular force is applied to a certain area and produces a pressure P. If the
same force is applied to a twice bigger area, the new pressure on the surface is:

Answers

Answer:

p/2

Explanation:

plzz help .....When comparing a prokaryotic cell to a eukaryotic cell, an important difference is that the prokaryotic cell


A.is simple, performing limited functions.

B.is relatively small in size and unorganized.

C.has its genetic information stored in the nucleus.

D.has no structures that allow it to store food.

Answers

Answer:

C

Explanation:

Ms. Mayo challenged her students to build a pendulum that would hit a block of wood and make it travel the farthest distance. The group that moved the block of wood the most would win a prize. One group's experimental data is shown above.

What is this group's independent variable?

A) height of bob drop


B) mass of pendulum bob


C) length of bob string


D) distance block moves

Answers

Answer:

B) mass of pendulum bob

A box with a weight of 25N sits on the floor. What is the maximum force that could be applied horizontally on the box before it would start to accelerate if the coefficient of friction is 0.40?

Answers

So, we know that The box isn't moving at all. I'm assuming the coefficient they gave you is for static friction. We know that with static friction, the value that we calculate is a maximum value that represents the force we'd have to apply before an object starts moving!

We also know that the box isn't moving vertically. That means that its Y forces must be cancelling out, which means its weight force and its normal force must be equal to each other!

Now we can plug in these values into our static friction equation!

[tex]F_s[/tex] ≤ [tex]F_N[/tex] * μ[tex]_s[/tex]

[tex]F_s[/tex] ≤ (25N) (0.40)

[tex]F_s = 10[/tex]

Therefore your force that you'd need to apply is 10N!

The uniform beam has a weight W and length L and is supported by a pin at A and cable BC ( figure 1)
Part A
Determine the horizontal and vertical components of reaction at A
Express your answers in terms of some or all of the variables W, R. Φ and θ). Enter your answers separated by a comma.
View Available Hint's)
Aa + Ay = ____
Parts B
Determine the one cable car necessary to hold the beans position shown
Express your answers in terms of some or all of the variables W, R. Φ and θ).

Answers

The reaction is in A in vertical direction is W(2cosϕsinθ−sinϕcosθ)/2sin(θ−ϕ).

What is Normal Stress and Strain?

In terms of psychology, "stress" and "strain" are sometimes used interchangeably in popular culture, as in the expressions "I'm feeling stressed" or "I'm under a lot of pressure."

In engineering, these phrases have specific, technical meanings. If a hook in the steel wire is attached,

If you hang the wire from the ceiling while placing a weight on the lower end, it will sag. By dividing the length change by the starting length, the strain in the wire may be computed.

Thus, as per the given scenario, W(2cosϕsinθ−sinϕcosθ)/2sin(θ−ϕ) will be the equation.

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Explain using physics vocabulary WHY the volume increases as the temperature increases.

Answers

Answer:

P V = n R T      ideal gas equation

V = k T     where k = a constant and equals k = n R / P

V is proportional to T when other factors are constant

which of the following changes will increase the frequency of an oscillating pendulum?
a. an increase in the mass of the pendulum.
b. an increase in the initial height of release.
c. an increase in the length of the rope.
d. more than one of the above
e. none of the above
explain your answer.
NO LINKS. ​

Answers

Answer:

e. none of the above

Explanation:

The frequency of an oscillating pendulum is the number of oscillation per unit time.

Mathematically, the frequency of an oscillating pendulum is given by the formula;

F = 1/2π√(k/m)

Where;

F is the frequency of oscillation.

k is the spring constant.

m is the mass of the spring.

Hence, none of the changes mentioned will increase the frequency of an oscillating pendulum.

A box is dropped out of a moving airplane. The airplane is traveling at 50m/s East. The box is dropped from rest with respect to the airplane. The box travels a vertical distance of 40 m before landing on a trampoline. The airplane continues traveling at a constant speed after the box is dropped and the wind resistance on the falling box is negligible

Answers

The horizontal distance travelled by the box is 143 m.

What is the horizontal distance travelled by the box?

The horizontal distance travelled by the box is calculated by determining the time of motion of the box and the horizontal velocity of the airplane.

The time of motion of the box from the vertical height in which it was dropped is calculated as follows;

h = vt + ¹/₂gt²

where;

v is the initial vertical velocity of the box  = 0t is the time of motion of the boxg is acceleration due to gravityh is the height of fall of the box

h = 0 + ¹/₂gt²

t = √ ( 2h / g )

t = √ ( 2 x 40 / 9.8 )

t = 2.86 seconds

The horizontal distance travelled by the box is calculated as follows;

d = Vₓ t

where

Vₓ is the horizontal velocity of the airplanet is the time of motion

d = ( 50 m/s ) x ( 2.86 s )

d = 143 m

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The complete question is below;

A box is dropped out of a moving airplane. The airplane is traveling at 50m/s East. The box is dropped from rest with respect to the airplane. The box travels a vertical distance of 40 m before landing on a trampoline. The airplane continues traveling at a constant speed after the box is dropped and the wind resistance on the falling box is negligible. Find the horizontal distance travelled by the box.

4. How many excess electrons does a balloon that was rubbed on a child's hair and
now has a charge of 4.0 x 107 Coulombs?

Answers

The number of excess electrons is 4.0 x 107 Coulombs divided by 1.60 x 10-19 Coulombs, which is 2.5 x 1026 electrons.

What is electrons?

Electrons are particles of matter that carry a negative electrical charge. Electrons are the smallest particles in the atom and are responsible for most of the atom's mass. Electrons orbit around the nucleus of the atom and are held together by the electromagnetic force. Electrons have a property called spin, which can have a value of either +1/2 or -1/2. Electrons are found in all elements and are important in chemical reactions as they are able to move around and form bonds with other atoms. Electrons are also important in electricity and magnetism.

The number of excess electrons on the balloon is equal to the charge of the balloon divided by the charge of an electron. Since the charge of an electron is 1.60 x 10-19 Coulombs, the number of excess electrons is 4.0 x 107 Coulombs divided by 1.60 x 10-19 Coulombs, which is 2.5 x 1026 electrons.

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Which law of motion accounts for the following statement? An apple accelerates as it falls from a tree

Answers

The law of motion that accounts for an apple accelerating as it falls from a tree is the law of gravity, specifically Newton's Second Law of Motion.

Newton's Second Law of Motion states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. In the case of an apple falling from a tree, the net force acting on it is the gravitational force pulling it toward the Earth. The acceleration of the apple is therefore determined by the strength of this gravitational force and the mass of the apple.

As the apple falls from the tree, it accelerates toward the ground due to the gravitational force acting on it. The faster the apple falls, the greater its acceleration. This acceleration is commonly referred to as acceleration due to gravity, which is a constant value of 9.81 m/s^2 near the surface of the Earth.

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A 10 kg box is on an inclined plane that is 40 degrees above the horizontal. It is sliding
down with a constant velocity.
a. Draw a free body diagram with Fg, FN, F₂ and Ff.
b. What is the weight of the box?
What is the normal force of the box?
c. What is the force of friction acting on the box?
d. What is the net force acting on the box?

Answers

A horizontal force of 10.0 N is acting on a 10 kg box that is sliding to the right along the floor with velocity v.

What are the assumptions for drawing a free-body diagram?

Most people make the common assumptions of rigid body action and ignoring air resistance and friction. In statics, all forces and moments must balance to zero; if they don't, the body is accelerating and the laws of statics do not apply, according to the physical interpretation.

The specific situation and the presumptions used will determine how many forces and moments are displayed. Most people make the common assumptions of rigid body action and ignoring air resistance and friction.

In statics, all forces and moments must balance to zero; if they don't, the body is accelerating and the laws of statics do not apply, according to the physical interpretation. The resultant forces and moments in dynamics can have non-zero values.

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When floating a ping-pong ball with a hairdryer, which two forces are balanced?

Answers

The force of gravity and the force of air

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

There are two forces which are being balanced :

(Ⅰ) The force of gravity which is pushing the ping-pong ball downwards.

(Ⅱ) The force of the air that's coming from hairdryer which is pushing ping-pong ball upwards.

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

It is found that the most probable speed of molecules in a gas at equilibrium temperature

T2 is the same as the root-mean-square speed of the molecules in this gas when its equilibrium

temperature is T1. Find T2/T1.​

Answers

Answer:

[tex]\frac{T_2}{T_1} = 1[/tex]

Explanation:

The root mean square velocity of the gas at an equilibrium temperature is given by the following formula:

[tex]v = \sqrt{\frac{3RT}{M} }[/tex]

where,

v = root mean square velocity of molecules:

R = Universal Gas Constant

T = Equilibrium Temperature

M = Molecular Mass of the Gas

Therefore,

For T = T₁ :

[tex]v = \sqrt{\frac{3RT_1}{M} }[/tex]

For T = T₂ :

[tex]v = \sqrt{\frac{3RT_2}{M} }[/tex]

Since both speeds are given to be equal. Therefore, comparing both equations, we get:

[tex]\sqrt{\frac{3RT_1}{M} }=\sqrt{\frac{3RT_2}{M} }\\\\\frac{T_2}{T_1} = 1[/tex]

define quant......am physics​

Answers

Answer:

✍ What is quantum physics?

➳ It's the physics that explains how everything works; the best description we have of the nature of the particles that make up matter and the forces with which they interact. Quantum physics underlies how atoms work, and so why chemistry and biology work as they do.

You are in the year where the earth has no more land available for houses you decide to build an apartment up and need things to survive in each earths 5 layers (troposphere,stratosphere, mesosphere, thermosphere, exosphere) Question: what things would you need to survive the mesosphere
PLS I RLLY NEED SOME HELP​

Answers

The things that I will need to survive the layer of the earth called the mesosphere would be thick clothings.

What are the 5 layers of the earth?

The five(5) layers of the earth include the following such as:

troposphere,stratosphere, mesosphere, thermosphere, and exosphere.

The Mesosphere is one of the layers of the earth that is found directly above the stratosphere and then below the thermosphere.

The characteristics of the mesosphere is that the temperature rises due to reduced absorption of solar radiation and increased cooling by CO2 radiative emissions.

Therefore, for an individual to survive and live effectively at the Mesosphere layer of the earth, such needs thick clothings.

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At what separation will two charges, each of magnitude 6.0 μC, exert a force of 0.70 N on each other?

Answers

At separation  of 1470 meters, the two charges exert a force of 0.70 N on each other.

What is electric force?

Electric force is the interaction between any two charged objects that can be either attractive or repelling. Newton's rules of motion, which apply to all forces, explain how each one affects the target body and how it does so. The electric force is one of the many forces that operate on objects.

We know that electric force can be mathematically defined as:

F = kQq/r²

0.70 = 9.0 × 10⁹ × (6.0×10⁻⁹)²/r²

r = 1.47 meter.

Hence, the separation between two charges is 1.47 meters.

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How do you add sound waves?

Answers

The addition of two sound waves produces a new wave of higher amplitude if their compressions and refractions line up. It is also known as constructive interference.

What is interference?

Interference can be described as a phenomenon in which two waves combine by adding at every single point in space and time, to form a resultant wave of greater or lower amplitude.

Constructive and destructive interference occurs in the interaction of waves that are correlated with each other because they come from the same source.

When two sound waves propagate in the same direction in phase with each other, their amplitude gets added, and the resultant wave is produced from constructive interference.

When two waves interfere with each other and have a displacement in the opposite direction.  When a crest of a wave meets the trough of another wave, the waves undergo destructive interference.

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K
The formula B=29a is used to estimate the minimum furnace output, B, in BTUs, for a modern house with the amount of square feet of flooring, a. Determine the minimum furnace
output for a 1600-ft² modern house.
The minimum furnace output for a 1600-ft² modern house is
BTUS.
Aww

Answers

The minimum furnace output for a 1600-ft² modern house is 464000 BTUs.

What is BTU?

British thermal units (Btu) are a unit used to measure the amount of heat in fuels or other energy sources. The amount of heat needed to raise a pound of liquid water's temperature by one degree Fahrenheit at the point where water has its highest density (approximately 39 degrees Fahrenheit).

The formula: the minimum furnace output, B = 29 a.

Area of modern house = 1600 ft²

The minimum furnace output = 29×16000 BTUs

= 464000 BTUs.

Hence, the minimum furnace output for a 1600-ft² modern house is 464000 BTUs.

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This theory of motivation focuses on finding the right level of stimulation. An organism tries to find behaviors that actually increase arousal because everything else bores them.
*
2 points
Cognitive Theory
Hierarchy of Needs
Drive-Reduction Model
Optimal Arousal Theory

Answers

Optimal Arousal theory  focuses on finding the right level of stimulation.

What is Optimal Arousal theory?

William James (1842–1910), frequently referred to as the father of psychology in the United States, made significant contributions to early studies on motivation.

James proposed a number of instincts that help with survival as the driving forces behind conduct . An instinct is a species-specific pattern of behavior that is not taught, according to biology.

But there was a lot of disagreement over what exactly constitutes instinct among James's contemporaries. James postulated a number of unique human instincts, although many of his contemporaries had different lists.

Therefore, Optimal Arousal theory  focuses on finding the right level of stimulation.

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2 part question
2. Write out the final answer for the coefficient of friction as the average of the values in the table (average all of your coefficients of frictions, and write that average below).
Answer for question #2
The average is = 0.2559975 or 0.256

3. Using similar methods as in questions #1 and #2, estimate the mass of the object in the present, the mystery mass. Include a description of the process and the mathematics of estimating the mass. Use the average coefficient of friction written in #2 to solve for the mystery mass.


4. Set an object (anyone you choose) to be moving at a constant speed. Describe the procedure for keeping the object moving at a constant speed. Write down the speed at which the object is moving, as well.

Answers

the answer is yes number5 hope this helps did before

A longitudinal wave is shown. An illustration of a horizontal spring. In the spring are areas where the rings are closer together and areas where the rings are further apart. The area where the rings are closer together is labeled A, the area where the rings are further apart is labeled B, the height of the spring is labeled C and the distance between adjacent areas where the rings are closer together is labeled D. Which label identifies a rarefaction? A B C D

Answers

Answer:

Explanation:

The label that identifies a rarefaction in a longitudinal wave is B.

In a longitudinal wave, such as a wave in a spring, a rarefaction is an area where the particles of the medium are farther apart than they are in the rest of the wave. This is in contrast to a compression, which is an area where the particles of the medium are closer together than they are in the rest of the wave.

In the given illustration, the area where the rings are further apart is labeled B, so B is the label that identifies a rarefaction. The area where the rings are closer together, labeled A, is a compression. The height of the spring, labeled C, does not correspond to a rarefaction or a compression, and the distance between adjacent areas where the rings are closer together, labeled D, is not related to the concept of rarefactions or compressions.

Answer:

wavelength - C

rarefractions - B

compressions - A

Explanation:

correct on EDGE 2023

What is the power of a lightbulb that has a current of 0.480 A at 120.0 V?

Answers

Answer:

The power is 57.6 watts

Explanation:

We can use the Electric Power Equation to evaluate the power.

Electric Power Equation

[tex]P=IV[/tex]

[tex]P[/tex] is the power in watts

[tex]I[/tex] is the current in amps

[tex]V[/tex] is the voltage in volts

Our lightbulb has current of 0.480 A and a voltage of 120.0 V.

[tex]I=0.480\\V=120.0[/tex]

Now we can evaluate power.

Substitute our values in for the variables.

[tex]P=0.480*120[/tex]

[tex]P=57.6[/tex]

Take 100 points look the picture​

Answers

Answer:

An aqueous stagnant layer that overlies the apical membrane and the subepithelial blood flow are potential barriers to the absorption of drugs that readily penetrate the absorbing cell of the epithelium. The apical, basal, and basement membranes are potential barriers to the absorption of less permeable drugs.

claiming points because question is old + no keywords in title

Subtract the following and give the answer using significant figures 3.400-0.7591

Answers

Answer:

the answer is 2.6409.

Explanation:

i asked my teacher

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