An arrow is fired downward at an angle of 45 degrees from the top of a 200 m cliff with a velocity of 60.0 m/s.
A.how long will it take the arrow to hit the ground?
B.how far from the base

Answers

Answer 1

Answer:

A) 3.39 seconds

Explanation:

A) How long will it take the arrow to hit the ground?

We can find the time it takes the arrow to hit the ground by using a constant acceleration equation.

Let's make the positive direction upwards and the negative direction downwards. Let's list out the relevant variables:

v₀ = -60 m/sΔy = -200 ma = -9.8 m/s² t = ?

Find a constant acceleration equation that contains these four variables.

Δy = v₀t + 1/2at²

Substitute known values into the formula and solve for t.

-200 = (-60 · cos(45))t + 1/2(-9.8)t² -200 = (-30√2)t - 4.9t² 0 = -4.9t² - (30√2)t + 200

Use the quadratic formula to continue solving for t.

[tex]\displaystyle \frac{-b \pm \sqrt{b^2-4ac} }{2a}[/tex][tex]\displaystyle \frac{-(-30\sqrt{2})\pm \sqrt{(-30\sqrt{2})^2 -4(-4.9)(200)} }{2(-4.9)}[/tex] [tex]\displaystyle \frac{30\sqrt{2} \pm \sqrt{1800+3920} }{-9.8}[/tex][tex]\displaystyle \frac{30\sqrt{2} \pm \sqrt{5720} }{-9.8}[/tex]

From this, when we add the discriminant we get -12.04664168. When we subtract the discriminant we get 3.38819129.  

Since time cannot be negative, the time it takes for the arrow to hit the ground must be 3.39 seconds.

Answer 2

Answer:V^2=U^2+2gSIN45S

60^2=2asin45x200

3600=400sin45(a)

3600=282•84a

a=3600/282•84

a=12m/s^2

S=ut+0•5gt^2

200=0•5(12)t^2

200=6t^2

t^2=200/6

t^2=33.33

t=5.77s

Explanation:


Related Questions

How does convection play a role in hurricanes

Answers

Answer:

Convection is what keeps the hurricane going in till the storm hits land.

Explanation:

Convection is the warm, moist current that rises above sea level and as it cools into water vapor it releases energy which a hurricane runs on. Once the hurricane hits land it continues to lose energy to keep it going because there's no convection from the sea currents rising above sea level to release energy.

Hope this helps.

when you blow across the top of a soda bottle it acts like a closed pipe. if it creates a fundamental frequency of 680 Hz, how deep is the bottle? (Speed of sound = 343 m/s) (Unit = m)

Answers

Answer:

0.125

Explanation:

acellus

Is this right? Please help me. ITS SOCIOLOGY!!

Answers

Answer:

i think so

Explanation:

A second hand on a clock has a radius of 10 cm what is the circumference of a circle around which the secondhand travels

Answers

The answer has got to be 91

An 80 kg diver jumps from a 10 m high platform. What is the gravitational potential energy of the diver right before they jump (top of platform)

Answers

Answer:

0 Joules.

Explanation:

Given the following data;

Mass = 80kg

Height = 10m

Gravitational potential energy (GPE) is an energy possessed by an object or body due to its position above the earth.

Mathematically, gravitational potential energy is given by the formula;

[tex] G.P.E = mgh[/tex]

Where;

G.P.E represents potential energy measured in Joules.

m represents the mass of an object.

g represents acceleration due to gravity measured in meters per seconds square.

h represents the height measured in meters.

We know that acceleration due to gravity is equal to 9.8m/s²

But since we're determining the gravitational potential energy just before the driver jump, the height would be zero (0) meters.

Gravitational potential energy= mgh

Gravitational potential energy = 80*9.8*0

Gravitational potential energy = 0 Joules.

This ultimately implies that, if an object or body hasn't moved (jumped) from its reference point, its gravitational potential energy would be equal to zero.

5. What things would settle in pond water, making it turn to land (terrestrial) succession?

Answers

Answer:

Organic matter

Explanation:

As organic matter continue to build up in a pond, vegetation will begin to appear in the pond. The first set of vegetation to appear are the floating vegetation. Subsequently, submersed plants begin to grow also.

With time, organic sediments continue to fill the pond and its depth is gradually decreased. A swamp or bog is now formed.

This trend of succession continues until the pond eventually turns into land.

Two objects have a gravitational force of 800 N. If they are moved twice as far apart and the mass of one object doubles, what is the new gravitational force?

Answers

Answer:

400 N

Explanation:

From the question,

F = kmm'/r²........................ Equation 1

Where F = gravitation force, m and m' = mass 1 and mass 2 respectively, r = distance between the masses.

Given; F = 800 N

Substitute these values into equation 1

800 = kmm'/r².............. Equation 2

If the distance is doubled (2r), and one of the mass is doubled (2m), The new force is

F' = k(2m)(m')/(2r)²

F' = 2kmm'/4r²

F' = kmm'/2r²................. Equation 3

Comparing equation 2 and equation 3

F' = F/2............................ Equation 4

Substitute the value of F into equation 4

F' = 800/2

F' = 400 N

Mosa believes that ocean currents help to regulate the climate of the earth. Explain why.

Answers

Answer:

Thus, ocean currents regulate global climate, helping to counteract the uneven distribution of solar radiation reaching Earth's surface. Without currents in the ocean, regional temperatures would be more extreme—super hot at the equator and frigid toward the poles—and much less of Earth's land would be habitable.

Ocean currents help to regulate the climate of the earth as it transports warm water  from the equator to the polar region and carry cold water from poles back towards the equator .

What is an ocean currents ?

An ocean current is a continuous , directed movement of sea water generated because wind , breaking waves , temperature , salinity differences etc .

Ocean currents that move from north to south ,transports warm water  from the equator to the polar region and carry cold water from poles back towards the equator .  This is  how ocean currents help to counteract the uneven distribution of solar radiation  , without ocean current it would be really hot in equator and really cold at poles.

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what are the four main elements of matter

Answers

Answer:

Earth, Water, Air, Fire.

Explanation:

Answer:

Earth, Water, Air, Fire

Explanation:

A car covers 400m distance in 50 sec find it's speed?

Answers

Answer:

[tex]\boxed {\boxed {\sf 8 \ m/s}}[/tex]

Explanation:

Speed is equal to distance over time.

[tex]s=\frac{d}{t}[/tex]

The distance is 400 meters and the time is 50 seconds.

[tex]d= 400 \ m \\t= 50 \ s[/tex]

Substitute the values into the formula.

[tex]s=\frac { 400 \ m }{ 50 \ s}[/tex]

Divide.

[tex]s= 8 \ m/s[/tex]

The speed of the car is 8 meters per second.

4. A force of 185.6 N is being applied to a square of side length 3 m. Work out the
pressure on the square to 3 significant figures.

Answers

Answer:

[tex]p = f \div a[/tex]

[tex]p = \frac{185.6}{ {3}^{2} } = \frac{185.6}{9} = 20.6pa[/tex]

In order to attain orbit around earth, the ATLAS-V rocket must accelerate up to a
speed of about 7700m/s in about 11 minutes.
a) What average acceleration is required to accomplish this?
b) If the mass of the rocket + fuel is 3.05x105 kg, what is the applied force of the engine?

Answers

A) average acceleration = final velocity - initial velocity / time

= 7700 - 0 / 11

= 700ms^-2


B) force = mass x acceleration

= (3.05 x 105) x 700

= 320.25 x 700

= 224,175N

How is Ohm’s law applied?

Answers

The main applications of Ohm's law are: To determine the voltage, resistance or current of an electric circuit. Ohm's law is used to maintain the desired voltage drop across the electronic components. Ohm's law is also used in dc ammeter and other dc shunts to divert the current.


What unit is used for speed?
1. m/s
2. S
3. m/s2
4. m

Answers

Answer:

The unit of speed is m/s.

A toy car, as shown below, is moving forward with a force of six Newton's. If the wind blows from behind with a force of two Newton's, what will happen to its speed and position

Answers

Answer:

its speed will increase to 8 newtons allowing its position to dramatically change.

Describe the movement of sperm in the female reproductive system. State the different structures that it must pass in order to meet the egg for successful fertilization. plzz help me

Answers

Answer:

After a male ejaculates, many sperms move to the upper vagina (via contractions from the vagina) through the cervix and across the length of the uterus, reaching the fallopian tubes. Here they will meet the egg cell ready to be fertilized

The2 archer uses a force of 120 N. The force acts on an area of 0.5 cm2 on the archer's fingers. . Calculate the pressure on the archer's fingers.

Answers

Answer:

Pressure = 24000 N/m²

Explanation:

Given the following data;

Force = 120N

Area = 0.5cm² to meters = 0.5/100 = 0.005 m²

To find the pressure;

Pressure= force/area

Pressure= 120/0.005

Pressure = 24000 N/m²

Therefore, the pressure on the archer's fingers is 24000 Newton per meters square.

The pressure on the archer's finger will be  [tex]P=240 \ \frac{N}{cm^2}[/tex]

What will be the pressure?

Pressure is defined as the normal force applied to the particular area. The formula is given as

[tex]P= \dfrac{F}{A}[/tex]

Here

F= Force applied

A= Area at which the force is applied

Now it is given that

F= 120 N

A= 0.5 [tex]cm^2[/tex]

Now by putting the values in the formula we get

[tex]P=\dfrac{120}{0.5} =240\ \frac{N}{cm^2}[/tex]

Thus the pressure on the archer's finger will be  [tex]P=240 \ \frac{N}{cm^2}[/tex]

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Given the mathematical representation of Coulomb’s Law, , where , describe in words the relationship among electric force, charge, and distance.

Answers

Answer:

[tex]F_c = \frac{KQ_1Q_2}{R^2}[/tex]

Explanation:

Coulomb’s law is given as;

[tex]F_c = \frac{KQ_1Q_2}{R^2}[/tex]

where;

F is the electric force between q₁ and q₂

k is the coulomb’s constant  = 9 x 10⁹ Nm²/C²

r is the distance between the two charges

q₁ and q₂ are the two charges

Therefore, the coulomb’s law is given as [tex]F_c = \frac{KQ_1Q_2}{R^2}[/tex]

an ocean current moving from the equator toward a pole is​

Answers

Answer:

A warm current

Explanation:

Answer:

A warm current is moving away from the equator towards the poles. The water in a warm current is warmer than the surrounding water.

A zebra drinks from a watering hole and is ambushed by a crocodile. What's more important and why: the zebra having a high maximum speed or a high acceleration?

Answers

Answer:

before this type of attack, high acceleration is the most important thing.

Explanation:

As the zebra is ambushed by the crocodile the most important thing is a quick reaction, in this attack the most likely is that the crocodile is in the water so it cannot run after the zebra.

Consequently, before this type of attack, high acceleration is the most important thing.

What change will have the least effect on solubility of a solid? O A. increase in temperature O B. increase in surface area O C. decrease in pressure O D. decrease in temperature​

Answers

Answer:

increase in surface area

Explanation:

Calculate the frequency of an electromagnetic wave having a wavelength of 60 m.​

Help Please​

Answers

Answer:

50000

Explanation:

f= speed of light (c) which is a constant number 3×10^6 divided by wavelength

f = 3×10^6/ 60

f = 50000

What is one reason that electromagnetic waves are used in long-distance communication?
A. They travel rapidly.
B. They move matter easily
C. They do not lose energy over long distances.
D. Informatioŋ can be encoded in the wave speed.

Answers

I believe the answer is C or A but I’m not sure

One reason that electromagnetic waves are used in long-distance communication is, that they do not lose energy over long distances. So Option C   is correct

What are electromagnetic waves ?

Electromagnetic waves are a type of wave that consists of oscillating electric and magnetic fields. They are propagated through space or through a material medium, and they have the ability to travel through a vacuum, which is the absence of matter. Electromagnetic waves have a wide range of frequencies, which determines the type of electromagnetic wave. The most familiar types of electromagnetic waves include radio waves, microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays, and gamma rays.

One of the property of the electromagnetic waves is that they do not lose energy over long distances.

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what is the meaning of the word antonyms

Answers

Answer:

a word opposite in meaning to another ( bad and good ).

Explanation:

a word which has opposite in meaning to another word

Explain the changes in energy as a ball is held in the air , and then dropped​

Answers

Answer:

Potential Energy to Kenetic Energy

Explanation:

When holding a ball in the air, the ball has potential energy. Once you drop the ball, the ball gains Kenetic Energy

Why is average global temperature the most important value when talking about climate change?

Answers

Answer:

The most important number's formal name is "equilibrium climate sensitivity," and it's meant to represent the new equilibrium in surface temperatures after a change in the amount of the Sun's energy trapped here on Earth rather than radiated back to space.

Explanation:

please give me brain list and follow

The average global temperature is the most important value when talking about climate change because the Earth's temperature is increasing day by day due to the trapping of the Sun's light energy.

What is temperature?

The temperature is the degree of hotness or coldness of the object.

The equilibrium climate sensitivity is the equilibrium in Earth's surface temperature. After the Sun's trapped energy is reduced, the climate changes accordingly.

Thus, the average global temperature is the most important value when talking about climate change because the Earth's temperature is increasing day by day due to the trapping of the Sun's light energy.

Learn more about temperature.

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What is the Martian atmosphere like ?

Answers

Answer:

Mars' atmosphere however is 95% carbon dioxide, 3% nitrogen, 1.6% argon, and it has traces of oxygen, carbon monoxide, water, methane, and other gases, along with a lot of dust. Dust hanging in the air colors Martian skies tan in photos taken from the surface. Relative to Earth, the air on Mars is extremely thin.

Explanation:

1. Which of the following is NOT true about momentum?
a. It has direction
b. It is conserved in a system
c. It depends on mass and velocity
d. It is the same as the energy of a body

2. Which of the following is TRUE about the impulse acting on a body and it's change in momentum?
a. Impulse is equal to the change in momentum
b. Impulse is greater than the change in momentum
c. Impulse is less than the change in momentum
d. There is no relation between impulse and change in momentum​​

Answers

Answer:

1. answer - it is conserved in a system

2. answe- impulse is equal to the change in momentum

characteristics of saturn

Answers

Saturn is a planet in solar system. It's ring is made out of small covered ice particle. It has over 30 moons.

uhh it’s a gas giant
made up of hydrogen and helium
second biggest planet in the solar system
least dense planet in the solar system

PLEASE HELP ASAP!! An upright wave pulse with an amplitude of 152 mm collides with an inverted wave pulse with an amplitude of 70 mm. At the moment when the two pulses overlap, the amplitude of the pulse will have an amplitude of ________ mm.

Answers

the answer is 33 mm, i’m a teacher :p
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