Divers at Acapulco dive from a cliff that is 61 m high. If the rocks below the cliff extend outward for 23 m, what is the minimum horizontal velocity a diver must have to clear them?
Answers
Answer:6.5 m/s
Explanation:Look at the image I believe that's the answer
The horizontal velocity of the diver would be 6.522 meters / seconds.
What are the three equations of motion?There are three equations of motion given by Newton
v = u + at
S = ut + 1/2×a×t²
v² - u² = 2×a×s
As given in the problem, Divers at Acapulco dive from a cliff that is 61 m high. If the rocks below the cliff extend outward for 23 m, then we have to find out the minimum horizontal velocity a diver must have to clear them,
By using the second equation of motion in the vertical direction,
s = ut + 0.5at²
61 = 0+ 0.5×(-9.81) ×t²
t² = 61/(0.5×9.81)
= 12.43
t = 3.526 seconds
The horizontal velocity of the diver = 23 meters / 3.526 seconds
=6.522 meters / seconds
Thus, the horizontal velocity of the diver would be 6.522 meters/second.
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Related Questions
non-example of Newton's third law of motion
Answers
Answer:
Unbalanced forces
Explanation:
A man jumps from a 45 m cliff into a large body of water. How long will he fall before he enters the wate
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Answer:
about 2.5 seconds depending on if he jumps up and out or if he jumps out.
Explanation:
In the lab, a student is investigating the effects of texting and driving on reaction time. A
student determines his/her reaction time by having a friend release a meter stick at
random intervals while the driver sends text messages. The student, on average,
catches the meter stick after it has traveled 0.64 m.
How far will the student
travel in a car moving at 25 m/s horizontally before reacting?
9.0 m
0.64 m
69 m
Answers
We know that we can write the speed of something as the quotient between the distance it moves and the time it takes to move that distance.
speed = distance/time
Using this, we will find that the correct option is the first one, 9.0 m
The information we know is:
The student, on average, catches the meter stick after it has traveled 0.64m
We need to transform this into time.
Assuming that the meter stick is just released, the only acceleration it will have is the gravitational one, so we have:
a(t) = -9.8m/s^2
To get the velocity of the stick we need to integrate over time, as the it is just released, it will not have initial velocity, thus the constant of integration is zero:
v(t) = (-9.8m/s^2)*t
To get the position equation we need to integrate again, and as the initial position is relative, we can define it as zero, so again the constant of integration is zero:
p(t) = (1/2)(-9.8m/s^2)*t^2
p(t) = (-4.9 m/s^2)*t
We know that the student catches the stick after it traveled (downwards) 0.64m
Then we need to solve:
-0.64m = (-4.9 m/s^2)*t
√[(-0.64m)/(-4.9m/s^2)] = t = 0.36s
So the reaction time of the student is 0.36 seconds.
Now we can use the first equation:
speed = distance/time
And rewrite it as:
distance = speed*time
So if the car moves at 25m/s and the student needs 0.36 s to react, the distance that he/she will move in that time frame is:
d = (25m/s)*0.36s = 9.0m
So the correct option is the first one.
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Determine how far a vehicle moved if it started at 12 m/s and accelerated up to 47 m/s in a time of 34s.
Answers
Answer:
[tex] s = 1,003 \: m[/tex]
Explanation:
[tex]s = \frac{1}{2} (u + v)t = \frac{1}{2} (12 + 47)34 \\ s = 1,003 \: m[/tex]
1 HELP PLEASE I'LL GIVE BRAINLIST AND POINTS!!!
Do some research on digital vs. analog recording, and decide which you think gives the most accurate and best quality sound. State the advantages and disadvantages of each in a paragraph. Be sure to back up your opinions with facts, and state your sources.
have 2-6 paragraphs pleasee
Answers
Answer:
The question of analog vs. digital audio is one of the more hotly debated questions in the world of music, film and media today. Does digital sound better? Does analog sound better? Is there even a noticeable difference?
It’s impossible to understand the difference completely without understanding what distinguishes analog audio from digital audio. A full discussion of these terms is best left to your curriculum and discussions with your mentor in the studio. For now, though, here’s a brief explanation of what these two words mean, and the differences between them.
Analog refers to a continuously changing representation of a continuously variable quantity. Digital, however, refers to representing these variable quantities in terms of actual numbers, or digits. The last two sentences seem a bit complex, but let’s try to simplify them with an example. If you consider the numbers 1 and 2 on a number line, there are actually an infinite number of points between 1 and 2. This is what analog represents—the infinite number of possibilities between 1 and 2. Digital, on the other hand, only looks at certain number of fixed points along the line between 1 and 2 (for example, 1 ¼, 1 ½, 1 ¾, and 2).
Can you see the difference? Digital takes a few “snapshots” of the number line, while analog takes the whole line into account.
As another example, think of analog vs. digital as the difference between seeing something in real life and watching it on film. When we see something happen in real life, there are no “spaces” between what we see, so we’re watching it happen in analog. Film, however, is actually a series of still photographs that are taken in rapid-fire intervals, and when we see them in succession, it tricks our minds into thinking we’re seeing a continuous flow of movement. So in a manner of speaking, when we watch the event happen on film, we’re watching it digitally, because we’re watching increments of the event, rather than the whole thing in fluid motion. (Not to be confused with digital video vs. film, which is another discussion completely!)
Let’s bring this idea into audio, music, and the studio. Sound occurs naturally in analog–that is to say, sound occurs in a continuous set of waves that we hear with the human ear. (Think of it as a “wavy” line with an infinite number of points along it.) When we capture that sound in a way that represents all the possible frequencies, we’re recording in analog; when we use computers to translate the sound into a series of numbers that approximate what we’re hearing, we’re recording in digital.
Thus, a purely analog recording would be something that was recorded on tape and produced using manual equipment to mix, master and press into a vinyl LP. A purely digital recording would be recorded on a computer program such as Pro Tools, mixed, mastered and produced digitally, and eventually burned onto a CD as an MP3 or audio file.
The most ironic aspect of the debate about digital vs. analog recording is that nowadays a lot of music is a combination of the two. For example, you might record a song onto analog tape, but mix and master it digitally, or release it on the Internet as an MP3.
So what’s the difference in quality between analog and digital? The idea between digital recording is that our ears and brains technically can’t determine the spaces between the digital values, just like our brains interpret film as continuous motion. However, to many people, analog sound tends to be warmer, has more texture and is thought to capture a truer representation of the actual sound. Digital is felt to be somewhat cold, technical and perhaps lacking in analog’s nuance.
However digital is much cheaper. Recording an album with analog technology can require a whole studio full of equipment, but with digital recording technology, it’s possible to record a whole album in a bedroom on a laptop. And whereas analog technology can wear out or be damaged, digital media can last for an indefinite length of time.
Today many recording artists, both major and independent, record using a mixture of digital and analog techniques. While analog audio does give warmth and a truer sound quality, digital is cheaper to work with and offers more control over the finished product.
What is the measure of how much a material resists the formation of an electric field?
A. Permittivity
B. Dielectric
C. Capacitance
D. Resistance
Answers
Answer:
C. Capacitance
Explanation:
right on EDGE2021
Ahmet hits a baseball that has a mass of 0.14 kg and accelerates it to 600 m/s2. What is the force that was applied?
Answers
Answer:
F = 600N
Explanation:
F = m x a
F = Force
m = mass
a = acceleration
F = 0.14 x 600 = 84N
HELP PLEASE
A cyclist and his bicycle have a combined mass of 88 kg and
a combined weight of 862.4 N. The cyclist accelerates at 1.2
m/s2. After 2 seconds he reaches a speed of 2.4 m/s. What is
his momentum at this point?
A. 359.3 kg.m/s
B. 105.6 kg.m/s
C. 211.2 kg-m/s
O D. 36.7 kg-m/s
Answers
The momentum of the cyclist and bicycle at this point is 211.2 kg·m/s, calculated by multiplying their combined mass (88 kg) by their velocity (2.4 m/s). The correct answer is C.
The momentum of an object is defined as the product of its mass and velocity. To find the momentum of the cyclist at this point, we can use the equation: momentum = mass × velocityFirst, let's find the mass of the cyclist and his bicycle. We are given that their combined mass is 88 kg. Next, we need to find the velocity of the cyclist. We are given that he reaches a speed of 2.4 m/s after 2 seconds, and that he accelerates at a rate of 1.2 m/s². We can use the equation of motion: velocity = initial velocity + acceleration × timeThe initial velocity is 0 m/s (since the cyclist starts from rest), the acceleration is 1.2 m/s², and the time is 2 seconds. Substituting these values into the equation, we get:velocity = 0 + 1.2 × 2 = 2.4 m/sFinally, we can calculate the momentum by multiplying the mass and velocity:
momentum = 88 kg × 2.4 m/s = 211.2 kg·m/sTherefore, the correct answer is C. 211.2 kg·m/s.
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my little cousin wanted me to ask this so, How does thermal energy travel to Earth?
Answers
Heat moves in three ways: Radiation, conduction, and convection. Radiation happens when heat moves as energy waves, called infrared waves, directly from its source to something else. This is how the heat from the Sun gets to Earth. In fact, all hot things radiate heat to cooler things.
Find the potential energy of the bowling ball from the exercise above that is sitting on a shelf 2 meters high. Remember that g = 9.8m/s. Write equation, substitute values and units into equation, and show final answer.
Answers
Answer:
Explanation:
bv
Why do you think the lunar cycle is longer than the time it takes the moon to orbit Earth?
Answers
Answer:
because the moon returns to the same place on the sky once every siderial period, but the sun is also moving on the sky.
Explanation:
Hope that helps!
Answer:
Because the moon returns to the same place on the sky once every siderial period (27.3 days), but the sun is also moving on the sky.Cycle of lunar phases takes 29.5 days. This is called the SYNODIC PERIOD
Explanation:
During a game of marbles, a player is trying to win a 2 g marble that is at rest. The player flicks a 1.25 g marble at a velocity of 8 at the larger marble that is sitting still. After the collision, the smaller marble has a velocity of 1 . What is the velocity of the 2 g marble after the collision? Round your answer to the nearest whole number.
Answers
Answer:
4 m/s
Explanation:jus did on edgu 2020
Which three factors are used to calculate gravitational potential energy?
A. The mass of an object
B. The acceleration of an object due to gravity
C. The density of an object
D. The velocity of an object
E. The chemical formula for an object
F. The height of an object
Answers
Answer: height, mass, and acceleration.
Explanation:
Answer:
height, mass, and acceleration.
or a,b,f
Explanation:
Whats the difference between a solar eclipse and a lunar eclipse?
Answers
Answer:
A solar eclipse results when the moon passes in between the earth and the sun hiding the sun fully or partly for some time. A lunar eclipse occurs when the earth passes in between the moon and the sun casting its shadow on the moon and thus hiding it fully or partly for some time.
Explanation:
your welcome
I NEED HELP!!!! THIS IS DUE TODAY OCT. 14, 2020 AT 11:59 PM!!!
Keisha has two large dogs and a small dog. The dogs like to play tug-the-rope together. Each of these three diagrams shows one way that the dogs play together with the rope. Look at each arrow and the number that goes with it. They show the direction and amount of force each dog exerts on the rope. There are three illustrations of two dogs pulling at a toy rope.
The left art should show two big dogs pulling on a rope toy each pulling with a force of 20N in the opposite direction. The middle art shows a big dog on left pulling to the left on the rope toy with a force of 20N and a little dog pulling to the right with a force of 12N. The right art shows the rope toy tied to a post, with both dogs pulling on different parts of the toy and in the same direction. One large dog pulls with a force of 20 N and the small dog pulls with a force of 12 N.
Explain whether the forces shown in each diagram are balanced or unbalanced. Use math-based evidence to support your claim for each diagram.
Answers
Answer:
The answer is unbalanced
Explanation:
Though cases like these are not really how the science will be used, they illustrate the principle.
If the left art shows two big dogs pulling on a rope toy each pulling with a force of 20N in the opposite direction. The middle art shows a big dog on left pulling to the left on the rope toy with a force of 20N and a little dog pulling to the right with a force of 12N. The right art shows the rope toy tied to a post, with both dogs pulling on different parts of the toy and in the same direction. One large dog pulls with a force of 20 N and the small dog pulls with a force of 12 N. The atomic theory has been of priceless value to chemists, but it has more than once happened in the history of science that a hypothesis, after having been useful in the discovery Present and the co-ordination of knowledge, has been aban- position doned and replaced by one more in harmony with later of the discoveries
The amount of force exerted in each direction in the rope determines if the force in play is balanced or unbalanced ;
Left art : 20N = 20N (Balanced) Middle : 20N > 12N (Unbalanced) Right art : 20N > 12N (Unbalanced)To determine if the force acting in two direction is balanced or unbalanced, we calculate the net force acting on the object.
The net force = Force 1 - Force 2If the netforce = 0 ; then the force is balanced, if otherwise , then it is unbalanced.
Left art :
Net force = 20N - 20N = 0 NRight art :
20N - 12N = 8N (direction of the 20N force)Middle :
20N - 12N = 8N (direction of the 20N force)Therefore, the value of the net force determines if the force is balanced or not.
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The distance between a scalar and a vector is that a vector quantity includes what
Answers
Answer:
magnitude and direction e.g acceleration,displacement
Click The Pros and Cons of Plastics and use the information to answer the question.
Which scenario shows an indirect environmental impact of using plastics?
Answers
Answer:
Plastics being consumed by fish and passing toxic compounds to the humans eat the fish.
Explanation:
I did that answer and got it right.
Answer:
Plastics being consumed by fish and passing toxic compounds to the humans that eat the fish.
Explanation:
You are in a car moving at 50 mph to the right, from the reference frame of the ground. A truck is next to you moving at 30 mph to the right, also from the reference frame of the ground. Which is true from your reference frame of the car?
a. The truck would appear to stand still.This answer is incorrect.
b. The truck would appear to be moving forward.
c. The truck would appear to be moving backward.
Answers
How to calculate weight on
mars?
Answers
So an object or person on Mars would weigh 37.83% its weight on earth. Therefore, a person would be much lighter on mars. Conversely, a person is 62.17% heavier on earth than on Mars.
why would it motivate Hollywood to use more realism in special effects?
Answers
Answer:
Explanation:
the search for authenticity in films, motivated Hollywood to use more realism in special effects.
A car accelerates from 15 m/s to 25 m/s for 6 seconds. What is the car's displacement? (use: d=>(); + v) )
Answers
Answer:
hope this helps : )
Explanation:
brainliest plz
Which person has the most kinetic energy?
O A. A person sitting in a chair
OB. A person sitting at the top of a slide
O C. A person riding a bicycle
O D. A person walking
Answers
A person riding a bicycle has the most kinetic energy among the given options, therefore the correct option is C.
What is mechanical energy?Mechanical energy is the combination of all the energy in motion represented by total kinetic energy and the total stored energy in the system which is represented by total potential energy.
The expression for total mechanical energy is as follows
ME= PE+KE
Where ME is the mechanical energy
PE is the total potential energy
KE is the total kinetic energy
The kinetic energy is the body depends on the mass as well as the speed of the object and is given by the mathematical expression as follows
K.E = 1/2*m*v²
where K.E is the kinetic energy of the object
m is the mass of the object
v is the velocity of the object
For the given problem and the options provided for the person riding the bicycle has the most kinetic energy among all, therefore the correct option is C.
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Consider a box sliding down horizontally across a straight line. Which of the following factors affects the amount of work done against friction in this situation?
A. Speed of the box
B. Time taken to move the box
C. Distance the box is moved
D. Direction of the box is moved
Answers
Answer:
uhhh speed of box??? I think
The factor affecting the amount of work done against friction is the distance traveled by the box.
The work done against friction is energy dissipated in reducing frictional force along the horizontal surface.
The magnitude of the work done in reducing the frictional force along the horizontal surface is given as;
W = μFd
where;
μ is the coefficient of frictionF is applied horizontal forced is the horizontal distance traveled by the boxThus, we can conclude that the factor affecting the amount of work done against friction is the distance traveled by the box.
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Which of these consumers is an herbivore? *
1. lion
2. deer
3. spider
4. snake
Answers
Answer:
2. deer
Explanation:
The lion, spider, and snake eat meat or to an extent.
Deer don't eat meat
Answer:
deer :)
Explanation:
The rest are basically carnivores
What happens to potential energy as the mass of an object decreases?
Answers
Answer:
As the mass of the object decreaes, the potential energy also decreases.
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.
PLS HELP!!!- The moon rotates around the Earth every 28 days. What is the frequency of the moon’s revolution?
Answers
Answer: the frequency is every 27.322 days
stored energy and the energy of positions are ________________ energy
Answers
Answer:
Gravitational Energy
The mass of an object is 200 kg. What is it's weight on Earth
Answers
W = 200 • 9.8
W = 1960 N
Answer:
1N=1 kg×m/s (sqaured)
Explanation:
basically if you are 225 lb u weigh 1000N. I hope I helped
PLEASE HELP AND HURRRRY
A package is dropped from a plane flying at a constant speed. Neglecting air resistance, when the package hits the ground the horizontal location of the plane will....
A. Be behind the package
B. Depend on speed of package
C. Be directly over the package
D. Be in front of the package
Answers
Answer:
A. Be behind the package