An archer defending a castle is on an 15.5 m high wall. He shoots an arrow straight down at 22.8 m/s. How much time does it take to reach the ground? (Unit = s) Watch your minus signs!​

Answers

Answer 1

Answer:

  about 602 milliseconds

Explanation:

The motion can be approximated by the equation ...

  y = -4.9t^2 -22.8t +15.5

where t is the time since the arrow was released, and y is the distance above the ground.

When y=0, the arrow has hit the ground.

Using the quadratic formula, we find ...

  t = (-(-22.8) ± √((-22.8)^2 -4(-4.9)(15.5)))/(2(-4.9))

  = (22.8 ± √823.64)/(-9.8)

The positive solution is ...

  t ≈ 0.60195193

It takes about 602 milliseconds for the arrow to reach the ground.


Related Questions

TRUE OR FALSE
1. TRUE OR FALSE: The higher the frequency, the closer the waves are together and the LOWER the energy carried by the waves will be.
2. TRUE OR FALSE: The greater the force that produces a wave, the greater the amplitude of the wave and the greater the energy carried by the wave.
3. TRUE OR FALSE: In a transverse wave the higher the wave, the LOWER the amplitude
4. Wavelength is a measure of the distance from the crest on one wave to the crest on the very next wave.
5. TRUE OR FALSE: Speed is a measure of the distance a wave travels in an amount of time
6. TRUE OR FALSE: As a wave enters a different medium, the wave’s speed changes. Waves travel at different speeds in different media
7. TRUE OR FALSE: The highest point of a transverse wave is the crest and the lowest point is called a trough.

Answers

Answer:

Explanation:

true true fauls true fauls fauls

1 . The higher the frequency, the closer the waves are together and the LOWER the energy carried by the waves will be. FALSE

2. The greater the force that produces a wave, the greater the amplitude of the wave and the greater the energy carried by the wave. TRUE

3. In a transverse wave the higher the wave, the LOWER the amplitude FALSE

4.Wavelength is a measure of the distance from the crest on one wave to the crest on the very next wave, TRUE
5. Speed is a measure of the distance a wave travels in an amount of time TRUE

6. As a wave enters a different medium, the wave’s speed changes. Waves travel at different speeds in different media TRUE

7. The highest point of a transverse wave is the crest and the lowest point is called a trough. TRUE

What is Wave ?

A wave is a disturbance in a medium that carries energy and  as well as momentum. Energy can be transferred in the form of wave in the medium. there are two types of wave,

longitudinal wave : in which, vibration of the medium (particle) is parallel to propagation of the wave as shown in the fig.1. Sound wave is a longitudinal wave.

Transverse wave : in which, vibration of the medium (particle) is perpendicular to propagation of the wave as shown in the fig.2. Light wave is a longitudinal wave.

1. E = hυ where υ is a frequency which shows direct relation between Energy E and frequency υ. Hence it is false.

2. True

3. In a transverse wave the higher the crest in the wave, the higher the amplitude. FALSE

4. True

5. True, Speed = Distance÷Time

6. due to change in refractive index, velocity changes TRUE

7.True

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Fill in the blanks


Cobalt has 27 protons, 32 neutrons and 27 electrons. What is it's atomic mass?

Answers

the atomic mass is 58

Answer:

58.933195 u or 59 u

Explanation:

Atomic mass of cobalt is 58.933195 u

can u answer the two questions on the paper? (use the pictures for help obvi)

Answers

Answer:

1) E has the greatest mass because it has the most dots

2) B has the smallest mass because it has less dots.

a variable that is changed by the researcher is called ___

Answers

an independent variable :)) hope I helped

A roller coaster has a loop in which the centripetal acceleration equals 9.8m/s2 . Of the tangential speed of the roller coaster cars is 15-7 m/s

Answers

Answer:

25.152m

Explanation:

Compete question;

A roller coaster has a loop in which the centripetal acceleration equals 9.8m/s² . If the tangential speed of the roller coaster cars is 15.7 m/s, find its radius.

centripetal acceleration a = v²/r

v is the tangential speed

r is the radius

Given

v = 15.7m/s

a = 9.8m/s²

9.8 =  15.7²/r

9.8r = 15.7²

r = 15.7²/9.8

r = 246.49/9.8

r = 25.152m

Hence the radius of the coaster is 25.152m

A pitcher throws an overhand fastball from an approximate height of 2.65 m and at an angle of 2.5° below horizontal. The catcher catches the ball high in the strike zone, at a height of 1.02 m above the ground. If the pitcher's mound and home plate are 18.5 m apart, what is the initial velocity of the pitch?

Answers

Answer:

The initial velocity of the pitch is approximately 36.5 m/s

Explanation:

The given parameters of the thrown fastball are;

The height at which the pitcher throws the fastball, h₁ = 2.65 m

The angle direction in which the ball is thrown, θ = 2.5° below the horizontal

The height above the ground the catcher catches the ball, h₂ = 1.02 m

The distance between the pitcher's mound and the home plate = 18.5 m

Let 'u' represent the initial velocity of the pitch

From h = [tex]u_y[/tex]·t + 1/2·g·t², we have;

[tex]u_y[/tex] = The vertical velocity = u·sin(θ) = u·sin(2.5°)

h = 2.65 m - 1.02 m = 1.63 m

uₓ·t = u·cos(θ) = u·cos(2.5°) × t = 18.5 m

∴ t = 18.5 m/(u·cos(2.5°))

∴ h = [tex]u_y[/tex]·t + 1/2·g·t² =  (u·sin(2.5°))×(18.5/(u·cos(2.5°))) + 1/2·g·t²

1.63 = 8.5·tan(2.5°) + 1/2 × 9.8 × t²

t² = (1.63 - 8.5·tan(2.5°))/(1/2 × 9.8) = 0.25691469087

t = √(0.25691469087) ≈ 0.50686752763

t ≈ 0.50686752763 seconds

u = 18.5 m/(t·cos(2.5°)) = 18.5 m/(0.50686752763 s × cos(2.5°)) = 36.5334603 m/s ≈ 36.5 m/s

The initial velocity of the pitch = u ≈ 36.5 m/s.

which of these might be carried by the wind, which causes the weathering of rocks?

A. fog

B. mud

C. pollen

D. sand




BTW SCIENCE ISN'T IN SUBJECTS JUST SAYING​

Answers

A .

Explanation:

Tiny water drops hovering in the air are called fog. Fog is like a cloud, but it is near the ground, not high in the sky. Thick fog makes it difficult to see the surrounding landscape

we have that from the Question"which of these might be carried by the wind, which causes the weathering of rocks? " it can be said that  

Which of these might be carried by the wind, which causes the weathering of rocks will bepollen Option C

From the Question we are told

which of these might be carried by the wind, which causes the weathering of rocks?

A. fog

B. mud

C. pollen

D. sand

Generally

wind carry light and thing above the earth or at a higher altitudewhen pollen's are carried over a distance and germinate the root them self into rocks and as the grow bigger the crack rocks  thereby causing the weathering of rock

Therefore

Which of these might be carried by the wind, which causes the weathering of rocks will be

pollen

Option C

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10. A student walking in the hallway sees a spill. When this happens, they slow down from 8.3 ft/s to a pace of 3.3 ft/s in 4 seconds. What is their acceleration?​

Answers

Answer:

Acceleration = -1.33ft/s²

Explanation:

Given the following data;

Initial velocity = 3.3ft/s

Final velocity = 3.3ft/s

Time, t = 4s

To find the acceleration;

In physics, acceleration can be defined as the rate of change of the velocity of an object with respect to time.

This simply means that, acceleration is given by the subtraction of initial velocity from the final velocity all over time.

Mathematically, acceleration is given by the equation;

[tex]Acceleration (a) = \frac{final \; velocity - initial \; velocity}{time}[/tex]

Where,

a is acceleration measured in [tex]ms^{-2}[/tex]v and u is final and initial velocity respectively, measured in [tex]ms^{-1}[/tex]t is time measured in seconds.

Substituting into the equation, we have;

[tex]a = \frac{3.3 - 8.3}{4}[/tex]

[tex]a = \frac{-5.3}{4}[/tex]

Acceleration = -1.33ft/s²

The value is negative because the final velocity is lesser than the initial velocity i.e the student is decelerating.


A pizza delivery person drives 3 miles North then 5 miles West and then 3 miles South to deliver a pizza. What is the distance driven?
A. 45 miles
B. 5 miles west
C. 8 miles
D. 11 miles

Answers

Answer:

The answer is...

Explanation:

If your counting the miles he went from the Pizza place and back it would be 22 if you were counting just the amount of miles he went from the pizza place then it would be D, or 11. Hope this helps.

:)

It is fine to wear maong pants when preforming physical activity write true or false

Answers

nono definitely not (false)
not true. otherwise known as false

ASAPP!!!!!!
The diagram below shows four parts of a wooden pencil.
Wood body
Plastic grip
Rubber eraser
Metal band
Of the labeled parts of the pencil, which is the best conductor
of electricity?

A. Wood body
B. Metal band
C. Plastic grip
D. Rubber eraser

Answers

I would say the plastic grip because glass, wood, and plastic are all good conductors of electricity

Which part of the drum (Instrument)vibrates when it produces sound?

Answers

Answer:

Striking the head of the drum changes its shape and compresses the air inside the shell. the compressed air presses on the bottom head and changes its shape. then these changes are transmitted to the drum shell and reflected back and this action is repeated created a vibration.

Explanation:

Hope this helped Mark BRAINLEST!!!

What is the gravitational potential energy of a 250 kg rock on top of a 200 meter cliff?

Answers

Answer:

500000 approx........

...

A radio transfers 270 j of energy electrically, 94.5 j is transferred by sound. Work out the efficiency of this radio. Give your answer as a decimal

Answers

Answer:

35%

Explanation:

Given data

Amount of energy transferred (Input) = 270J

Amount of energy converted to sound (Output)=  94.5J

Efficiency = output/input*100

Efficiency= 94.5/270*100

Efficiency=0.35*100

Efficiency=35%

Hence the efficiency is 35%

need help its do today

Answers

Answer:

the answers for the first 3 are

C

A

C

Explanation:

A tugboat is pulling a barge into a harbor. The barge is exerting a force of 3000 N against the tugboat. Which force would most likely allow the tugboat to move the barge into the harbor? –4500 N –2500 N 2500 N 4500 N

Answers

Answer:

the correct one is F’= 4500 N

Explanation:

To solve this problem we must use Newton's second law

           

where F₁ is the force of the barge F₁ = 3000N and the force of the tugboat is F '

            F '- F₁ = m a

we substitute

            F '- 3000 = m a

the mass is always a positive quantity, therefore if we want the tug to pull the barge

            F ’-3000> 0

when you check it, you respect the correct one is F’= 4500 N

Answer:

The answer is -4500 N

Explanation:

I just got it right on the test

A train travels 100 km east and then 75 km west. What is the magnitude of
its displacement?

Answers

Answer:

displacement = 100 - 75 = 25 km east

how do you increase the ideal mechanical advantage of an inclined plane?

Answers

Answer:

The mechanical advantage increases as the slope of the incline decreases. But the load will then have to be moved a greater distance. The ideal mechanical advantage (IMA) of an inclined plane is the length of the incline divided by the vertical rise, the so-called run-to-rise ratio.

Explanation:

PLEASE MARK ME AS BRAINLIEST

what is sound produced by

Answers

Answer:

Sound is produced by an object vibrating and creating a pressure wave.

Explanation:

Determine the increase in volume of 100m3 of mercury when it's temperature change from 10c to 45c the linear expansion coefficient is 6 x 10-5

Answers

Answer:

0.63m

Explanation:

Volume expansivity = change in volume/original volume×temp change

Volume expansivity p = 3x

p = ∆V/V∆t

x is the linear expansivity

Given

x = 6 x 10^-4

p = 3x

p = 3(6 x 10^-5)

p = 18×10^-5

Volume = 100m³

∆t = 45-10 = 35°C

Required

Change in volume ∆V

Substitute the given values into the formula

18×10^-5 = ∆V/100(35)

18×10^-5 =∆V/3500

∆V = 3500×0.00018

∆V = 0.63m

Hence the increase in volume of the Mercury is 0.63n

Which scenario is the best example of matter absorbing energy from a wave?
A. Sound waves a echoing off smooth surface
B. Light shining onto a mirror
C. Ocean waves hitting a concrete barrier that reduces their energy
D. Sunlight reflecting from a white chalk line on a sidewalk

Answers

Ocean waves hitting a concrete barrier that reduces their energy, scenario is the best example of matter absorbing energy from a wave.

Common examples of absorption of wave energy: waves hitting the beach usually give most of their energy to the sand. sunlight landing on a face is mostly absorbed, warming the skin. sound waves hitting thick curtains give up their energy and the sound is muffled.

What is wave ?

"A wave is a disturbance in a medium that carries energy without a net movement of particles. It may take the form of elastic deformation, a variation of pressure, electric or magnetic intensity, electric potential, or temperature."

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Antarctica's landscape is proof that ____.

A. a large amount of water does not make a continent habitable
B. it has the highest levels of precipitation in the world
C. humans cannot survive at extremely high altitudes
D. a continent covered in snow can be one of the driest on earth

Answers

Answer:

The answer to the equation is B hope this helps:)

Answer:

D. a continent covered in snow can be one of the driest on earth

Explanation:

Car A has twice the mass of Car B; both travel at the same speed. Compared to Car B. Car A has:
o the same the energy
o four times the energy
Otwice the energy
one-half the energy
one-fourth the energy​

Answers

Answer:

Car A has twice the energy of car B.

Explanation:

The kinetic energy of an object is given by :

[tex]K=\dfrac{1}{2}mv^2[/tex]

Where

m is the mass

v is the speed of the object

Car A has twice the mass of Car B. Both travel at the same speed i.e.

[tex]m_A=2m_B[/tex]

So,

[tex]\dfrac{K_A}{K_B}=\dfrac{(1/2)m_Av^2}{(1/2)m_Bv^2}\\\\=\dfrac{2m_B}{m_B}\\\\\dfrac{K_A}{K_B}=2\\\\K_A=2\times K_B[/tex]

So, the kinetic energy of car A is twice of the kinetic energy of car B.

Answer:

Car A has twice the energy

Explanation:

Match each term on the right to the correct definition.
A boundary formed when two plates
move past each other
1.
A.
Ocean basin
B.
Divergent bounda
2
.
A valley or depression between
continents
c.
Transform
boundary
3.
A boundary formed when two plates
collide
D.
Convergent
boundary
A boundary formed when two plates
move away from each other
A
B
С
D
II. Identification
Use the clues provided to fill in the blanks.

Answers

Answer:

Explanation:

C goes to 1

D goes to 3

B goes to 4

A goes to 2

We have a 10 m resistance wire of the isachrom 60 type. The resistance of this wire is 5.65 Ω / m at 20 ° C. The wire has a diameter of 0.50 mm.



a. Calculate the resistivity of isachrom 60 at 20 ° C.

Answers

Answer:

[tex]\rho=1.10\times 10^{-7}\ \Omega[/tex]

Explanation:

Given that,

The length of the resistance wire, l = 10 m\

The  resistance of this wire is 5.65 Ω/m

The diameter of the wire, d = 0.5 mm

Radius, r = 0.25 mm = 0.00025 m

We need to find the resistivity of isachrom 60 at 20°C. The formula for the resistance of a wire is given by :

[tex]R=\rho\dfrac{l}{A}\\\\\rho=\dfrac{RA}{l}\\\\\rho=\dfrac{R\pi r^2}{l}\\\\\rho=\dfrac{5.65\times \pi \times (0.00025)^2}{10}\\\\\rho=1.10\times 10^{-7}\ \Omega[/tex]

The resistivity of the wire is [tex]1.10\times 10^{-7}\ \Omega[/tex].

2. A bullet was shot by a gun with an initial speed of 260 m/s and is fired at an angle of 30 to the ground. a. How much is the value Vy at the top of the bullet's trajectory? b. Calculate the time taken by the bullet to reach its maximum altitude. c. Deduce the total time taken by the bullet in the air. d. Calculate the range of the bullet.

Answers

Answer:

Explanation:

a )

the value Vy at the top of the bullet's trajectory will be zero . At the top , only the horizontal component Vx will exist .

b )

At the top Vy = 0

initial velocity will have vertical component = 260 sin30 = 130 m /s

acceleration = - g = - 9.8

v = u - gt

o = 130 - 9.8 t

t = 13.26 s .

c )

Total time = Time of ascent + time of descent

= 13.26 + 13.26 = 26.52 s

d )

Range R = u² sin2Ф / g , where u is initial velocity , Ф is angle of throw , g is acceleration due to gravity .

R = 260² sin 2 x 30 / 9.8

= 5973.8 m .

A 60 W light bulb has a resistance of 880 Ω
Calculate the CURRENT.
Write your answer in Amps to TWO SIGNIFICANT FIGURES

Answers

[tex]\bf{ \underline{Given:- }}[/tex]

[tex] \sf{• \: Power \: (P) = 60 \: w}[/tex]

[tex] \sf{• \: Resistance \: (R) = 880 \: Ω}[/tex]

[tex] \\ [/tex]

[tex]\bf{ \underline{To \:  Find :- }}[/tex]

[tex] \sf• \: The \: Current \: (I).[/tex]

[tex] \\ [/tex]

[tex] \huge\bf{ \underline{ Solution :- }}[/tex]

[tex] \sf We \: know \: that,[/tex]

[tex] \bf \red {\bigstar{ \: P = I^{2} R}}[/tex]

[tex] \rightarrow \sf 60 = I^{2} \times 880[/tex]

[tex] \rightarrow \sf \frac{60}{880} = I^{2} [/tex]

[tex] \rightarrow \sf I^{2} = 0.0681[/tex]

[tex] \rightarrow \sf I = \sqrt{0.0681}[/tex]

[tex] \rightarrow \sf I = 0.261 \: \: (approx.)[/tex]

[tex] \\ [/tex]

[tex]\bf The \: \: value \: \: of \: \: I \: \: is \: \: 0.261 \: \: Amps. \: \: (approx.)[/tex]

what is fast carbon and what is slow carbon
please dont search it up need this right now extra points!​

Answers

Answer:

the fast carbon cycle follows the movement of carbon through living (biotic) components of an ecosystem. This occurs faster because life moves more quickly. The fast carbon cycle focuses primarily on the biosphere, while the slow carbon cycle is more involved with the hydrosphere, lithosphere and atmosphere.

Explanation:

A child bouncing a ball. Which law of motion does the situation describe?​

Answers

Kinetic energy evades the ball jumping higher than the kid

please help me answer this​

Answers

I think it’s C, because both of them are pulling and are at equal sides
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