A rock is held steady over a cliff and dropped. 1 seconds later, another rock is thrown straight down at a speed of 11.3 m/s, and hits the first rock. How far have the rocks dropped before they collide? How long is the first rock in the air before it gets hit by the second rock?

What is the displacement of the rocks when they collide? __________ (Hint: be careful of sign -- the rocks drop.)
The first rock is in the air for __________ before it is hit.

Answers

Answer 1

Answer:  

4.27s

Explanation:

If "t" represents the time traveled from the time rock 2 is dropped until the collision, then the time traveled for rock 1 = t + 1. And, since rock #1 is dropped making its initial velocity = 0, then:

The distance rock 1 travels is  

x = (0)(t + 1) + 1/2(-9.8)(t + 1)2 = -4.9(t2 + 2t + 1) = -4.9t2 - 9.8t - 4.9

The distance rock 2 travels  

x = -11.3t + 1/2(-9.8)t2 = -11.3t - 4.9t2

For the distances must be equal when the rocks collide:  

-4.9t2 - 9.8t - 4.9 = -11.3t - 4.9t2  

-9.8t - 4.9 = -11.3t  

-4.9 = -1.5t  

t = 3.267 s

Now, the distance they traveled can be found by plugging the 3.267 s back into either equation:

x = -11.3(3.267) - 4.9(3.267)2 = -89.2 m or 89.2 m below where they began

The time the first rock was in the air is t + 1 = 3.267 + 1 = 4.267 s = 4.27 s

Answer 2

Let

First rocks time be x

Second rocks time be x+1

initial velocity=u=11.3m/s

Distance of both rocks be s1 and s2

[tex]\\ \sf\longmapsto s=ut+\dfrac{1}{2}at^2[/tex]

Now

[tex]\\ \sf\longmapsto s1=11.3x+5x^2[/tex]

[tex]\\ \sf\longmapsto s2=11.3(x+1)+5(x+1)^2[/tex]

As both collide then

[tex]\\ \sf\longmapsto s1=s2[/tex]

[tex]\\ \sf\longmapsto 11.3x+5x^2=11.3x+11.3+5(x+1)^2[/tex]

[tex]\\ \sf\longmapsto 5x^2=11.3+5x^2+10x+1[/tex]

[tex]\\ \sf\longmapsto 10x+12.3=0[/tex]

[tex]\\ \sf\longmapsto x=1.23s[/tex]

Displacement

[tex]\\ \sf\longmapsto 11.3(1.23)=13.8m[/tex]

Done


Related Questions

A jet airplane is in level flight. The mass of the airplane is m = 8930 kg. The airplane travels at a constant speed around a
circular path of radius R = 8.01 mi and makes one revolution every T = 0.106 h. Given that the lift force acts perpendicularly
upward from the plane defined by the wings, what is the magnitude of the lift force acting on the airplane?
At what angle is the airplane banked?

Answers

Answer:

Explanation:

The lift force will have a vertical component equal to the weight of the plane and a horizontal component sufficient to supply the needed centripetal accleration.

R = 8.01 mi = 12891 m

ω = 2π/T =  2π/(0.106(3600)) = 0.016465 rad/s

F = m√(g² + (ω²R)²)

F = 8930√(9.81² + (0.016465²(12891))²)

F = 8930√(9.81² + 3.49²)

F = 92,996.480...

F = 93.0 kN

θ = arctan(3.49/9.81) = 19.6°

3
Which finding would have disproved Virchow's hypothesis?
O Animalcules are not organisms.
O Animals are made of non-cell-based matter.
Plants are made of non-cell-based matter.
O Cells can generate from nonliving matter.

Answers

Answer:

the correct answer is cells can generate from nonliving matter

Which type of color is most associated with emotions and attributes such as
calmness, sadness, and stillness? Choose the answer.
neutral
dynamic
warm
cool

Answers

I believe that cool colors is the correct answer

The colors that are most associated with emotions and attributes such as calmness, sadness, and stillness are cool colors, therefore the correct answer is option D.

What is science?

Science is the methodical, empirically-based pursuit and application of knowledge and understanding of the natural and social worlds.

A method of learning about the world is science. Science allows people to participate in the creation of new knowledge as well as use that knowledge to further their goals. It is both a process, a product, and an institution.

Thus, the colors that are most associated with emotions and attributes such as calmness, sadness, and stillness are cool colors, therefore the correct answer is option D.

Learn more about the science here, refer to the link given below ;

https://brainly.com/question/18186842

#SPJ2

What is the major difference between metallic bonding and ionic bonding?


Answers

Answer:

The key difference between ionic bonding and metallic bonding is that the ionic bonding takes place between positive and negative ions whereas the metallic bonding takes place between positive ions and electrons.

Explanation:

About (metallic bonding) → Metallic bonding is a type of chemical bonding that arises from the electrostatic attractive force between conduction electrons and positively charged metal ions.

About (ionic bonding) → Ionic bonding is a type of chemical bonding that involves the electrostatic attraction between oppositely charged ions, or between two atoms with sharply different electronegativities, and is the primary interaction occurring in ionic compounds

I hope this helps!

Which statement best explains how a planet affects the orbit of a comet as the comet passes by the planet?

Answers

Comets orbit the sun just like planets do. Except a comet usually has a very elongated orbit. Thanks to the laws of gravity comets obey the same laws. A comets orbit takes it very close to the sun and then far away again.

When an object moves in a straight line, which statement is true? 

A. the object moves at a constant speed, the resultant force is zero

B. the object accelerates , the resultant force is zero

C. the object moves at a constant speed, the forward force is greater than the resistive force

D. The object requires a resultant force in order to move at a constant speed

Answers

Answer:

In think the answer is a I’m not sure

Explanation:

Becuase constant speed is always zero there is no acceleration

How much protein would be consumed with a 3-ounce serving of
this food?
A. 0g
B. 5g
C. 10g
D.15g
Please Help me

Answers

Answer:

15kg

(i actually did this)

Explanation:

k12

hope this helped!

i hope you ace it!

Answer: B) 5g

I took the 4.11 Unit Test: Nutrition quiz.


A bucket crane consists of a uniform boom of mass
M = 201 kg and length L= 59.05 ft that pivots at a point on
the bed of a fixed truck. The truck supports an elevated bucket
with a worker inside at the other end of the boom, as shown in
the figure. The bucket and the worker together can be modeled
as a point mass of weight 201 lb located at the end point of
the boom.
Suppose that when the boom makes an angle of 68.7° with the
horizontal truck bed, the bucket crane suddenly loses power,
causing the bucket and boom to rotate freely toward the
ground. Find the magnitude of the angular acceleration la of
the system just after the crane loses power. Take the rotation
axis to be at the point where the boom pivots on the truck bed.
Use g = 9.81 m/s2 for the acceleration due to gravity. For unit
conversions, assume that 1 m = 3.28 ft and 1 lb = 4.45 N.
Express your answer to at least two decimal places.

Answers

Newton's second law for rotational motion allows finding the results for the angular acceleration of the system at the moment of losing power is:

              α =0.616 rad / s²

Newton's second law for rotational motion relates the torque to the moment of inertia and the angular acceleration, in the special case where the angular acceleration is zero, it is called the rotational equilibrium condition.

           [tex]\sum \tau = I \alpha[/tex]

           [tex]\tau = F \ r \ sin \theta[/tex]

where τ is the torque, F is the force, r the distance to the pivot point and θ the angle between the force, the distance, I is the moment of inertia and α is the angular acceleration.

In this case they indicate the values ​​in several different units, let's reduce to the international system of measurements (SI).

Beam mass M = 201 kg Beam length L= 59.05 ft (1m / 3.28 ft) = 18.0 m Worker and basket weight Wh = 201 lb (1N / 0.2248 lb) = 894.1 N Beam angle tea = 68.7º

We place our reference system at the base of the beam on the truck and counterclockwise turns as positive, and in the attached we see a free-body diagram of the system.

   

          [tex]W_m \ L \ sin 68.7 + Mg \ \frac{L}{2} \ sin 68.7 = I \alpha[/tex]

The moment of inertia is an additive scalar quantity, the total moment of inertia is the moment of inertia of the pen plus the moment of inertia of the man.

Moment of inertia of the beam with respect to one end.

           [tex]I_[/tex] = ⅓ ML²

moment of inertia of man

           [tex]I_m = M_m L^2[/tex]

Let's substitute

           [tex](W_m + \frac{Mg}{2} ) \ L \ sin 68.7 = (\frac{1}{3} M + m_m ) L^2 \alpha \\\alpha = \frac{(W_m + \frac{Mg}{2} ) sin 68.7 }{ (\frac{1}{3} M + m_m ) L }[/tex]

Let's calculate        

The mass of man is

           m = [tex]\frac{W_m}{g}[/tex]

           m = 894.1 / 9.8

           m = 91.2 kg

          [tex]\alpha = \frac{(894.1 +2.1 \ 9.8 ) \ sin 68.7 }{ 18.0 ( \frac{201}{3} + 91 }[/tex]

          α = 0.616 rad / s²

In conclusion using Newton's second law for rotational motion we can find the results for the angular acceleration of the system at the moment of losing power is 0.616 rad / s²

Learn more here: brainly.com/question/16428109

if an object is launched at 40 degrees what other angle will give you the same range

Answers

Answer:

50 degrees

Explanation:

complimentary angles will give you the same range

The ability to catch on fire or burn.
(a). flammability (B)alkali metals (c)corrosion

Answers

Answer:

a. flammability

Explanation:

it is in the name "flame"

Answer:

The ability to catch on fire or burn is (a). flammability

Explanation:Flammability is the ease with which a combustible substance can be ignited, causing fire or combustion or even an explosion.

What is Juan’s velocity between 0-5 seconds?

Answers

Juan’s velocity between 0-5 seconds would be 2 m/s, the slope of the position time graph represents the velocity of the object and between the 0-5 seconds slope of the line is 2.

What is Velocity?

The total displacement covered by any object per unit of time is known as velocity. It depends on the magnitude as well as the direction of the moving object.

velocity= total displacement/Total time

As given in the problem we have to find the velocity of Juan between 0-5 seconds.

The displacement covered between 0-5 seconds is 10 meters.

the time taken to change position is 5 seconds,

the velocity of the Juan = 10/5

                                 =  2 meters/seconds

Thus, its velocity of Juan comes out to be 2 meters/second.

Learn more about Velocity from here,

brainly.com/question/18084516

#SPJ2

Taking care of yourself can sometimes be hard work and can even lead to feelings of

Answers

Answer:

deception

Explanation:

A strong magnetic field surrounds Earth. How does Earth’s magnetic field help humans?

Answers

Answer:

it deflects most of the solar wind, whose charged particles would otherwise strip away the ozone layer that protects the Earth from harmful ultraviolet radiation

A golf ball is hit with an initial velocity of 20m/s at an angle of 30° to the horizontal. calculate;

the time of flight​

Answers

Answer:

tcucugxojfjgfojcigxuogoudyifodtufukdutfuocyjxuogu

Electrons are ____________ charged particles. Answer here

Answers

Answer:

negatively charged

Explanation:

Answer: electrons are negative charged

Explanation:

Which of the following is an example of an acceptable time to ignore the rules and etiquette of a sport?
A.
when no one else notices
B.
when nobody really gets hurt
C.
when the outcome of the game isn't affected
D.
it's never acceptable to ignore rules and etiquette

Answers

Answer:

D-it's never acceptable to ignore rules and etiquette

Explanation:

We should know that it's never acceptable to ignore rules and etiquette.

What are the rules of etiquette in sports?

The rules of etiquette in sports are the rules of the sports that have been document by the various sports federations.

We should know that it's never acceptable to ignore rules and etiquette. These will make the the sports a lawless act and full of chaos.

Learn more about etiquette in sports:https://brainly.com/question/979191

#SPJ2

Average sized stars like our own will turn into a(an) _________ at the end if their lifecycle.

A: Red Supergiant
B: Black hole
C: Neutron Star
D: Supernova Nebula

Answers

Answer:

Red supergiant.

Explanation:

When our sun is going to become a red giant, it's going to be 256 times larger than itself now.

The mass of an object is 100mg. What is the object's mass in kg? Show your work

Answers

Answer:

0.0001 kg

Explanation:

The weight in Kilograms is equal to the milligrams divided by 1,000,000.

100 ÷ 1,000,000

A baseball pitcher throws a fastball at a speed of 44 m/s. The acceleration occurs as the pitcher holds the ball in his hand and moves it through an almost straight-line distance of 3.5 m. Calculate the acceleration, assuming it is uniform. Compare this acceleration to the acceleration due to gravity.

Answers

v = s/t

44 m/s = 3.5 m/t

t = 3.5 m : 44 m/s

t = 0.08 s

a = v/t

a = 44 m/s/0.08 s

a = 550 m/s²

a : g = 550 m/s² : 10 m/s²

a : g = 55 : 1

#LearnWithEXO

A 5.0 kg flying squirrel is flying from a tree down to the ground at constant velocity. Consider air resistance. Diagram the forces acting on the squirrel

Answers

The free body diagram of the squirrel motion, the weight of the squirrel is acting downwards while the air resistance is acting upwards.

The given parameters;

mass of the squirrel, m = 5 kgacceleration due to gravity = 9.8 m/s²

At a constant velocity downwards, the vertical acceleration is zero.

The downward force on the squirrel is calculated as follows;

W = mg - ma

W = m(g - a)

W = m(g - 0)

W = mg

W = 5 x 9.8

W = 49 N

The air resistance on the squirrel which is acting upwards is calculated as;

n = ma + mg

n = m(a + g)

n = m(0 + g)

n = mg

n = 5 x 9.8

n = 49 N

The free body diagram is presented below;

                                   ↑ n

                                   Ο

                                   ↓ W

Thus, in the free body diagram of the squirrel motion, the weight of the squirrel is acting downwards while the air resistance is acting upwards.

Learn more here:https://brainly.com/question/2421394

a car is traveling with a momentum of 15,000 kgm/s. It strikes a garbage can on the curb. If the garbage can is launched off of the bumper with a momentum of 5,000 kgm/s, how much momentum does the car still have?

Answers

Answer:  

c  

Explanation:  

it was a crash they both lost momentum

What is three famous people you know

Answers

Answer:

Martin Luther King Jr., Mark Zuckerburg, Jeff Bezos

Explanation:

First 3 people to come to my head.

Kim Kardiashin West Kanye West Stormy

Help me with this please

Answers

Answer:

for the secound one i think it would be 45.87 let me know if this is wrong I love to get my feed back

Explanation:

momentum dimensional in term of force, length and time​

Answers

Answer:

Taking force, length and time as fundamental quantity.

Momentum=mv(Force/acceleration)×Velocity =[F/LT

−2

]×[LT

−1

]=[FT]

If you can do something fast and with strength, you have balance.

A.
True

B.
False

Answers

Answer:

false

Explanation:

Which statement is TRUE regarding the sleeping brain?
A. Some brain neurons remain active during sleep, while others do not.
B. The sleeping brain is idle.
C. Sleep is a global, brain-wide state.
D. All brain areas are shut down during sleep.

Answers

Many biological processes happen during sleep: The brain stores new information and gets rid of toxic waste. Nerve cells communicate and reorganize, which supports healthy brain function. The body repairs cells, restores energy, and releases molecules like hormones and proteins.

The true statement regarding the sleeping brain is: sleep is a global, brain-wide state, which is in option c as sleep is not a state of idleness or a shutdown of all brain areas.

Sleep is a complex and dynamic process that involves various regions and functions of the brain. While some brain neurons may decrease their activity during certain stages of sleep, other neurons remain active and play crucial roles in regulating sleep processes. Sleep is considered a global state because it involves widespread changes in brain activity and connectivity. Different brain regions exhibit synchronized patterns of activity during specific sleep stages, and these patterns contribute to functions such as memory consolidation, restoration, and emotional processing.

Learn more about the brain in sleep here

https://brainly.com/question/31589791

#SPJ2

If a pool and a cup of water had the same temperature, which would have greater thermal energy?Why?

Answers

Despite being the same temperature, the swimming pool is a much larger thermal energy store than the beaker of water.

What is thermal energy?

Thermal energy is the energy contained within a system that controls its temperature. The flow of thermal energy is defined as heat.

Thermodynamics is a branch of physics that deals with how heat is transferred between different systems and how work is done in the process.

Thermal energy sources include natural gas, coal, and oil, as well as solar, heat pump electric, and geothermal heat.

A swimming pool and a beaker of water can both be the same temperature.

Despite being the same temperature, the swimming pool contains significantly more thermal energy than the beaker of water. A heated swimming pool's thermal store contains a lot of energy.

Thus, If a pool and a cup of water had the same temperature, then swimming pool has a much larger thermal energy.

For more details regarding thermal energy, visit:

https://brainly.com/question/11278589

#SPJ6

Why do you think some things float and some things sink?

Answers

because somethings carry meaning into life and other things are useless information that take up unnecessary space
some things are heavier and some things are lighter.

HELP PLEASE!

A book sits motionless on a table. Which statement is true?

The downward force is greater than the upward force on the book.
There are no forces acting on the book.
The upward force is greater than the downward force on the book.
The forces acting on the book are balanced by each other.

Answers

Answer:

I think the second one! So sorry if it's wrong!

Explanation:

Because if it's sitting motionless, then nothing is happening to it.

A book sits motionless on a table so the forces acting on the book are balanced by each other.

What is force?

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

A book sits motionless on a table that means forces acting on the book are balanced by each other. As book have mass so gravitational force acting in downward but opposite to that normal force because of friction is acting that stops book to be in motion.

A book sits motionless on a table so the forces acting on the book are balanced by each other.

To learn more about force refer to the link:

brainly.com/question/13191643

#SPJ2

hi i think it 573 udaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Answers

Answer:

ummm I didn't understand the question

Other Questions
the apparent backward motion of a planet along the celestial sphere is called: Which type of muscle is found only in the heart? Hellooooooo I need help with this !!!!! pick out the gerund and state its function..1. Taming animals is unethical 2.They liked singing does the character of a bond become more covalent or ionic when the difference in electronegativity of the bonded atoms increases? Explain how militarism shaped and affected politics, economics, and society in Germany to 1914. How Democratic and representative was the German government during this period? Suppose 96% of students chose to study Spanish their freshman year, and that meant that there were 504 such students. How many students chose not to take Spanish their freshman year? help please marking brainlist!! What is the correlational study on choline? aka (Vitamin J) how do the coils impact the strength of the magnetic fieldhow do the coils impact the strength of the magnetic field Which of the following sets of quantum numbers is not allowed?A.) n=3, l=2, ml=-2B.) n=4, l=3, ml=-3C.) n=2, l=1, ml=-1D.) n=2.5, l=0, ml=0E.) n=3, l=2, ml=-1 Which of the following lists of values contain rational numbers only?Group of answer choices90, -1.375 , 81,77,4.1628,0,313639,116,50 Many colonial constitutions contained a(n) ________.a. local government structureb. enumerated bill of rightsc. unicameral legislatured. strong executive branch Based on the passage, which statement is an accurate inference from the fact that in Rome gold bands were only worn for the wedding and special occasions? A. Gold was highly valued and treasured. B. Gold was readily available to everyone. C. Gold was not as prestigious as iron. D. Gold was considered too fancy for everyday. How did the arrival of Europeans most strongly affect the native peoples of the Americans aram is proficient in playing a number of instruments State the minimum monthly income and hourly wage per worker needed to cover monthlyexpenses for the family you used in part a. Then, explain how to calculate the hourly wagebased on the monthly income and state the hourly wage. Assume that each full-time workerworks four 40-hour work weeks per month, and each part-time worker works two 40-hourweeks per month. (10 points) anyone wanna know how to hack games like moo.io or krunker? A food worker has safley cooled a large pot of soup to 70 with in two hours what temperature must the soup reach in the next four hours to be cooled probably? Write a quadratic equation that has 2 and 8 as solutions.Find the equation with 1 as the coefficient of the quadratic term.