Answer:
An arch in a memorial park, having a parabolic shape, has a height of 25 feet and a base width of 30 feet.
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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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?
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!
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
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 ?
Answer:
71.6 mph
Explanation:
you would do 645 divided by 9 which would give you 71.6
Warm air rises because it has less ___________.
Answer:
because it is less dense than the surrounding air
Explanation:
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
Answer:
The answer is B) Double slit
Help Please I will Give The Brainliest! (SCIENCE)
Answer:
2.Hope this will help you.
testing related to criteria
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
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
Answer:
Explanation:
Why does the moon appear to change its shape as seen from Earth
Help Easy Question and Brainly. What's the answer?????
Answer:
negatively
Explanation:
Answer:
Negatively charged
Explanation:
PLS ANSWER MY QUESTION TOO
Which law best describes this behavior of gases in the Sun?
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
(Cr(NH3).](Co(CN)6) is a coordination complex
compound. What is the percent composition of carbon in this
compound?
Answer:19.51%
Explanation:
What is the speed of a rocket that travels 10000 meters in 15 seconds?
Help a brother out
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.
The least penetrating form of radiation is
X rays
gamma radiation
ОООО
alpha radiation
beta radiation
Answer:
radio radiation........
Answer
C.( Alpha particles!
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?
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:
Shrill sound is of -------------- *
Higher frequency
Lower frequency
Higher amplitude
Lower amplitude
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.
Which pair of moving pulses in a rope will produce
destructive interference?
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
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.
How are defenders on a baseball team positioned ?
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
Atoms are made up of even smaller particles called ?
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 ElectronNow 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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From an apple tree 2 metres high, a 100g mass apple fell of the tree, what work did it do?
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.
What is the cheetahs momentum?
Answer:
Momentum is mass*velocity. Cheetah: 74*31 = 2294 kg-m/s.
What is the speed of a rocket that travels 9,000 meters in 12 seconds?
which one of the following forces is a contact force force of gravity or force of friction
Which is NOT an example of evidence that shows a chemical reaction occurred?
change in color
change in temperature
change in shape
bubbles, fizzing
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.
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.
How do plants obtain the carbon dioxide required for photosynthesis?
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
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
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: conductorWhat 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;
IronAluminumCopperExamples of insulators include;
GlassPaperWoodSilkTherefore, 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: conductorLearn more about conduction at: https://brainly.com/question/18084972
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Answer:
Explanation:
E2020
What is the object’s average acceleration between 0.0 s and 5.0 s?
ANSWER FAST! PLEASEE
Answer:
[tex]2.5[/tex]
Explanation:
[tex]0.0+5.0=5.0[/tex]
[tex]\frac{5}{2} =2.5[/tex]
hope this helps!!!!!!!!!!
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