Consider a gate whose Shape is a parabolic arch of height 3m and base width 3m. If the origin of the coordinate system is at the vertex, then what is the equation of the edge of the gate?​

Answers

Answer 1

Answer:

An arch in a memorial park, having a parabolic shape, has a height of 25 feet and a base width of 30 feet.

Answer 2

The equation of the parabolic arch with the height of 3m and base width of 3m is x²= 3/16 y.

What is parabolic equation?

Any point on a parabola is at an equal distance from both the focus, a fixed point, and the directrix, a fixed straight line. A parabola is a U-shaped plane curve. An essential component of a conic section is a parabola.

A parabola is formed by cutting a right circular cone in half along a plane perpendicular to the cone's generator. It is a locus of a moving point whose separation from the focus is equal to its separation from a stationary line (directrix) Focus refers to the fixed point, and directrix refers to the fixed line.

The equation of a parabola is x² = 4ay.

Height of the arch = 3 m

base width = 3 m

thus it goes through the point (3/2, 3)

then, (3/2)²  = 4 a 3

a =  9 / (4× 12) = 3 /16

Then the equation of the parabolic arch becomes  x² = 3/16 y.

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Related Questions

The least penetrating form of radiation is
X rays
gamma radiation
ОООО
alpha radiation
beta radiation

Answers

Answer:

radio radiation........

Answer

C.( Alpha particles!

In a penalty kick, a soccer player kicks the ball from ground level with an initial velocity of .5.0 m/s,20.0^ above the horizontal . Assume that air resistance is negligible . What is the maximum height , y max of the soccer ball ?
A)0.51
B)3.2
C)3.7
D)8.6

What is the flight time of the soccer ball in the previous problem?
A)0.76 s
B)0.87 s
C) 1.3 s
D) 1.7 s

Answers

It is a and then c On the questions 1 and 2

I NEED THIS ANSWERED ASAP WITH THE RIGHT ANSWER
A bicycle with a 15 kg mass is easily stopped when a force of 60 N is applied. How much force would be needed to stop the bicycle if the time allowed to stop the bike was doubled?

Answers

Answer:

Going downhill at a steady speed, the forces along the direction of motion are:

net force = m * a = 0

W * sin(7) - Fdrag = 0

so Fdrag = m * g * sin(7) where m=62.kg and g=9.8m/sec^2

Explanation:

A piece of metal has a volume of 2.0 x 10-5 m3.
The density of the metal is 8.0 x 103 kg/m3.
What is its mass?
A. 2.5 103 kg
B.4.0 x 102 kg
C.1.6 101 kg
D.1.6 x 105 kg

Answers

Anwser- A

Hope it helps

Two rocks of masses 5 kg and 10 kg a dropped from rest from a height of 20 m above ground. Ignore all friction and air resistance. Just before
they hit the ground, which statement is true about the rocks?
(A) The value for the acceleration of the 5 kg rock is the same as the value for the 10 kg rock, but their velocity values are different.
(B) The values for the acceleration and velocity of the 5 kg rock are greater than the values for the 10 kg rock.
(C) The values for the acceleration and velocity of the 5 kg rock are less than the values for the 10 kg rock.
(D) The values for the acceleration and velocity of the 5 kg rock are the same as the values for the 10 kg rock.

Answers

Answer:

D

Explanation:

F=ma

F of 5 kg rock = 49N

F of 10 kg rock = 98 N

Divide by respective masses to get acceleration, and of course you will get 9.8 m/s^2 for both.

Now, use potential energy equals kinetic energy. mgh=(1/2)mv^2 mass cancels out of the equation, since it's on both sides, so we can stop right there. We have algebraically determined that mass does not affect acceleration or velocity!

Hope this helped.

What is the speed of a rocket that travels 10000 meters in 15 seconds?
Help a brother out

Answers

Answer:

666.67

Explanation:

the formula is speed = distance ÷ time

by the way I approximated the answer hope that it help I'm not sure it's right but I hope it is.

Which experiment proved light was a wave?

A) Photoelectric effect
B) Double Slit
C) Compton Scattering
D Light was never proved to be a wave

Answers

Answer:

The answer is B) Double slit

Atoms are made up of even smaller particles called ?

Answers

Answer:

Atoms are made up of even smaller particles called protons, electrons & neutrons (sub-atomic particles)

Atoms are made up of smaller particles called subatomic particles.

What is an Atom?

An atom is defined as the smallest indivisible particle of an element. It is made of subatomic particles which are:

NeutronProton Electron

Now the Neutron and Proton make up the nucleus which is at the core(middle) of the atom whole the electron rotates around the orbits that  surrounds the nucleus.

The Neutron has no charge.

The Proton is positively charged.

The electron is negatively charged.

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c. Before space travel some people thought rockets would not work in space because there was no
atmosphere for the rocket exhaust to push against. Explain the error in this thinking using Newton's
third law.

Answers

Rockets can travel through space because there is no force holding or acting on them.So if the rocket travels and a certain velocity it will travel at the same velocity unless a force acts on it

Shrill sound is of -------------- *

Higher frequency
Lower frequency
Higher amplitude
Lower amplitude

Answers

Answer:

Higher frequency.

Explanation:

Sound are mechanical waves that are highly dependent on matter for their propagation and transmission.

Sound travels faster through solids than it does through either liquids or gases. A student could verify this statement by measuring the time required for sound to travel a set distance through a solid, a liquid, and a gas.

Mathematically, the speed of a sound is given by the formula:

[tex] Speed = wavelength * frequency [/tex]

Generally, the frequency of a sound wave determines the pitch of the sound that would be heard.

A shrill sound refers to a type of sound that is typically sharp, high pitched and as such has higher frequency.

Hence, shrill sound is of higher frequency.

Classify each substance as either a conductor or insulator.

A sample of mercury:
✔ conductor

A piece of glass:
✔ insulator

A rubber hose:
✔ insulator

A negatively ionized lithium paste:
✔ conductor

Answers

The correct classification of each substance is as follows:

A sample of mercury: conductorA piece of glass: insulatorA rubber hose: insulatorA negatively ionized lithium paste: conductor

What are conductors and insulators?

A conductor is a substance that can transmit electricity, heat, light or sound while an insulator is a substance that does not transmit heat, sound or electricity.

Conductors are usually metals while insulators are usually non-metals. Examples of conductors include;

IronAluminumCopper

Examples of insulators include;

GlassPaperWoodSilk

Therefore, the correct classification of each substance is as follows:

A sample of mercury: conductorA piece of glass: insulatorA rubber hose: insulatorA negatively ionized lithium paste: conductor

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Answer:

Explanation:

E2020

If a ball that is 10 meters above the ground is thrown horizontally at 5.51 meters per second. a. how long will it take for the ball to hit the ground? b. how far will the ball travel in the horizontal direction before it hits the ground?​

Answers

Answer:

a. t = 1.43 s

b. d = 7.88 m

Explanation:

a. The time of flight can be found using the following equation:

[tex] y_{f} = y_{0} + v_{0_{y}}t - \frac{1}{2}gt^{2} [/tex]

Where:

[tex]y_{f}[/tex]: is the final height = -10 m

[tex]y_{0}[/tex]: is the initial height = 0

[tex]v_{0_{y}}[/tex]: is the initial speed in the vertical direction = 0

g: is the acceleration due to gravity = 9.81 m/s²

By solving the above equation for "t" we have:

[tex] t = \sqrt{\frac{2y_{f}}{g}} = \sqrt{\frac{2*10 m}{9.81 m/s^{2}}} = 1.43 s [/tex]

Hence, the ball will hit the ground in 1.43 s.

b. The distance in the horizontal direction can be found as follows:

[tex] x_{f} = x_{0} + v_{0}t + \frac{1}{2}at^{2} [/tex]

Where:

x₀: is the initial position in the horizontal direction = 0

a: is the acceleration in the horizontal direction = 0 (it is moving at constant speed)

[tex] x_{f} = 5.51 m/s*1.43 s = 7.88 m [/tex]

Therefore, the ball will travel 7.88 m before it hits the ground.

I hope it helps you!

What is the cheetahs momentum?

Answers

Answer:

Momentum is mass*velocity. Cheetah: 74*31 = 2294 kg-m/s.

Help Please I will Give The Brainliest! (SCIENCE)

Answers

Answer:

2.

Hope this will help you.

which one of the following forces is a contact force force of gravity or force of friction​

Answers

:Force. of friction:

Help Easy Question and Brainly. What's the answer?????

Answers

Answer:

negatively

Explanation:

Answer:

Negatively charged

Explanation:

PLS ANSWER MY QUESTION TOO

testing related to criteria ​

Answers

Answer: Test criteria offers assistance the analyzer(s) to compose the test prepare. They ought to be chosen in understanding with the accessible test exertion. Test scope measures are characterized as a proportion between the test cases required for fulfilling the criteria and those of these which have been executed

Answer 7575

Explanation: the numbers are cool

What is the object’s average acceleration between 0.0 s and 5.0 s?
ANSWER FAST! PLEASEE

Answers

Answer:

[tex]2.5[/tex]

Explanation:

[tex]0.0+5.0=5.0[/tex]

[tex]\frac{5}{2} =2.5[/tex]

hope this helps!!!!!!!!!!

(Cr(NH3).](Co(CN)6) is a coordination complex
compound. What is the percent composition of carbon in this
compound?

Answers

Answer:19.51%

Explanation:

Which is NOT an example of evidence that shows a chemical reaction occurred?
change in color
change in temperature
change in shape
bubbles, fizzing

Answers

Change in color
Change in color is a physical reaction

Which pair of moving pulses in a rope will produce
destructive interference?

Answers

I think it’s A hope this helps :)

What is the speed of a rocket that travels 9,000 meters in 12 seconds?

Answers

9,000/12=750

Speed is equal to distance divided by time
742.57 m/s .............

Why does the moon appear to change its shape as seen from Earth

A.Different parts of the sunlit moon become visible as the moon revolves around the Earth

B.Different parts of the moon are lit as the moon rotates

C.The moon moves farther and then closer to Earth

D.The sun lights different parts of the moon during different seasons

Answers

Answer:

Explanation:

Why does the moon appear to change its shape as seen from Earth

A 5 kg object is moving downward at a velocity of 12 m/s and is
currently 2.6 meters above the ground.

calculate its kinetic energy
calculate its potential energy
calculate its mechanical energy

Answers

Answer:

the first one i think

Explanation:

a car is traveling north on the interstate. They cover 645 miles in 9 hours. What is the car's average velocity ?

Answers

Answer:

71.6 mph

Explanation:

you would do 645 divided by 9 which would give you 71.6

Which law best describes this behavior of gases in the Sun?

Answers

Answer:

The extreme pressure from the weight of the gases that make up the Sun raises the temperature of the core enough for the nuclear reactions to take place, Which law best describes this behavior of gases in the Sun? A. Charles law.

Explanation:

if it is helpful....... plzz like and follow

Warm air rises because it has less ___________.

Answers

Answer:

because it is less dense than the surrounding air

Explanation:

From an apple tree 2 metres high, a 100g mass apple fell of the tree, what work did it do?

Answers

Answer:

W = 1.96 J

Explanation:

Given that,

The mass of an Apple, m = 100 g = 0.1 kg

It fell from 2 metres high tree.

We need to find the work done by it. The work done is given by :

[tex]W=mgh\\\\W=0.1\times 9.8\times 2\\W=1.96\ J[/tex]

So, the required work done is 1.96 J.

How are defenders on a baseball team positioned ?

Answers

Answer:

1 (pitcher), 2 (catcher), 3 (first baseman), 4 (second baseman), 5 (third baseman), 6 (shortstop), 7 (left fielder) 8 (center fielder), and 9 (right fielder)

Explanation:

There are nine fielding positions in baseball. Each position conventionally has an associated number, for use in scorekeeping by the official score

there’s 3 outfield , and the rest are infield !

How do plants obtain the carbon dioxide required for photosynthesis?​

Answers

Answer:

Explanation:

Carbon dioxide in photosynthesis Plants get carbon dioxide from the air through their leaves. The carbon dioxide diffuses through small holes in the underside of the leaf called stomata . (singular: stoma. plural: stomata) The lower part of the leaf has loose-fitting cells to allow carbon dioxide to reach the other cells in the leaf.

Answer:

Plants get the carbon dioxide they need from the air through their leaves. It moves by diffusion through small holes in the underside of the leaf called stomata These let carbon dioxide reach the other cells in the leaf, and also let the oxygen produced in photosynthesis leave the leaf easily.

Hope I can help you

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