A student buys a plastic dart gun and tries to find the maximum horizontal range. The student shoots the gun straight up and it takes 3.7 seconds for the dart to return back to the height of the barrel. What is the maximum horizontal range of the gun?

Answers

Answer 1

Answer:

The value is [tex]R_{max} = 33.54 \ m[/tex]

Explanation:

From the question we are told that

    The total time of flight is  [tex]t = 3.7 \ s[/tex]

Generally from kinematic equation

        [tex]v = u - g * \frac{t}{2}[/tex]

So v is the velocity at maximum height and the value is  v = 0 m/s

So

       [tex]0 = u - 9.8 * \frac{ 3.7}{2}[/tex]

=>   [tex]u = 18.13 \ m/s[/tex]

Here u  is the initial velocity of the dart as it leaves that gun  

Gnerally the horizontal range of the dart is mathematically represented as

         [tex]R = \frac{u ^2 sin 2\theta }{g}[/tex]

For maximum horizontal range the value of  [tex]\theta = 45^o[/tex]        

So

         [tex]R_{max} = \frac{ 18.13 ^2 sin 2(45) }{9.8}[/tex]

=>     [tex]R_{max} = 33.54 \ m[/tex]


Related Questions

A compressed spring stores 720 J of energy. A 1 kg block rests on the end of the spring. The spring is released and comes back to its uncompressed length pushing the block away. What is kinetic energy of the block as it leaves the spring? What is the speed of the block at this instant?

Answers

Answer:

the kinetic energy of block will be equal to energy stored in spring ie 720 J

the speed of block will be 37.9 m/s

Explanation:

E = m v^2 / 2

v = sqrt (2 * E / m)

v = sqrt (2 * 720 J / 1 kg) = 37.9 m/s

When one wave crest overlaps the crest of another and they add together what happens to the amplitude?
A: stays the same
B: decreases
C: increases

Answers

I’d say the answer is “B”

When one wave crest overlaps with  the crest of another and they add together and their amplitude increases. Hence, C is correct.

What is amplitude ?

Amplitude of a wave is the distance from the midpoint of a crest to its top or the distance from the midpoint of a trough to its bottom. For a wave the peak to the top is called crest and peak to the bottom or decline is called troughs.

When two waves overlap by crest of one wave and trough of another wave, then their amplitude will decrease and it is called destructive interference.

Amplitude of a wave is directly related to its intensity. High amplitude waves are intense. When two waves overlaps by their crests and add up together their amplitude will be the sum of amplitudes of both waves. This is called constructive interference. Hence, option C is correct.

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A 12 Volt car battery pushes charge through the headlight circuit resistance of 10 ohms. How much current is passing through the circuit?

Answers

Answer:

We applicate formula:

I = V/R

Replacing acording data:

I = 12 V / 10 Ω

Resolving:

I = 1,2 A

Result:

The current is of 1,2 Amperes.

Answer:

1.2 amps

Explanation:

I = V/R

V = 12

R = 10

12/10 = 1.2 amperes (amps)

A bicyclist with a mass of 50 kg is traveling at a rate of 30 m/s. It accelerates to a rate of 50 m/s in 5 seconds. What is the net force acting on the bicycle?

Answers

Answer:

200 N

Explanation:

There is only two needed factors in play here; the mass and acceleration

According to Newton's 2nd Law: F = m*a

Now Acceleration is Velocity over Time, so we have another factor in play: Acceleration = 50-30/5 = 20/5 = 4m/s^2

Net force = (50 kg)(4 m/s^2) = 50*4 = 200 Newtons

what are em waves expain in details

Answers

Electromagnetic waves or EM waves are waves that are created as a result of vibrations between an electric field and a magnetic field. ... They are hence known as 'electromagnetic' waves. The electric field and magnetic field of an electromagnetic wave are perpendicular (at right angles) to each other.

Hope this helps.
:)

Reply quick pls
a snooker bal travels 4 meters, diagonally across the table it travels at a speed of 5m/s. calculate how long the ball is travelling for

Answers

The ball was moving for 0.8seconds
This is because 4/5 x 1 = 0.8

Hope this helps and good luckkkk :)

Find our the total distance between those 2 womens after 100 seconds. Refer the image for the full question ASAP. Give me a complete brief solution of this above question!​

Answers

Given

[tex]\small\bf\red{First\: Women}\begin{cases}\sf{Initial\: Velocity\: =\: 15m/s}\\\sf{Time\: Taken\: = 100\: seconds}\end{cases}[/tex]

[tex]\small\bf\green{Second\: Women}\begin{cases}\sf{Initial\: Velocity\: =\: 20m/s}\\\sf{Time\: Taken\: = 100\: seconds}\end{cases}[/tex]

To Find

[tex]\:\:\:\:\bullet\:\:\sf{Distance \: between \:them \:after \:{\sf{\blue{100 \:seconds}}}} \\ [/tex]

Solution

[tex]\\→\:\:\:\sf Distance\: travelled \:by \:1st \:women\: = \: Velocity \times Time\:taken[/tex]

[tex]→\:\:\:\sf 15 \times 100[/tex]

[tex]→\:\;\:\sf 1500m[/tex]

[tex]→\:\:\:\sf s_{1} = {\sf{\red{1500m}}} \\ \\ [/tex]

[tex]\Rightarrow\:\:\:\sf Distance \:travelled \:by\: 2nd \:women\: = \: Velocity \times Time\:taken[/tex]

[tex]\Rightarrow\:\:\:\sf 20 \times 100[/tex]

[tex]\Rightarrow\:\:\:\sf 2000m[/tex]

[tex]\Rightarrow\:\:\:\sf s_{2} = {\sf{\purple{2000m}}} \\ \\ [/tex]

[tex]\small{\underline{\bf{Now, \:Distance \:between \:them\: =\: s_{2} - s_{1}}}_{}}[/tex]

[tex]\hookrightarrow\:\:\:\sf 2000 - 1500[/tex]

[tex]\hookrightarrow\:\:\:\bf \pink{500m} \\ \\ [/tex]

[tex]{\underline{\bf{Hence, }}}[/tex]

Total Distance between them after [tex]\bf{100 \:seconds}[/tex] is [tex]\bf\orange{500m}[/tex]

What happens to the pressure as air rises from the ground into the atmosphere?
Does it increase or decrease?

Answers

Answer:

please try brainlist answer

As the atmosphere expands the further you get from the Earth's surface, it becomes less dense and air pressure decreases. As you increase altitude (distance from Earth's surface) in an airplane, air pressure changes

कृपया ब्रेनलिस्ट का उत्तर केवल 1more उत्तर देने का प्रयास करें।

What would be the formula if you
wanted to solve for the
acceleration?

Answers

Answer:

acceleration = final velocity - initial velocity / time

V-U/T

Explanation:

Acceleration (a) is the change in velocity (Δv) over the change in time (Δt), represented by the equation a = Δv/Δt.

How far does the gravitational field of Earth extend?

Answers

I JUST NEED POINTSSS sorry hope you do good tho!
The earths gravitational pull will act on any object no matter the distance it just gets seeker the farther out you go

The force that acts on an object lying on a surface, acting in a direction perpendicular to the surface is called ____________​

Answers

If it is on land gravitational force
If it is on water thrust

Which is a feature of a cladogram?BY MOHAMED

I GIVEING A !)) 100 point RIGHT NOW ASP

Answers

Answer:

Constructed cladograms all typically share certain key features: Root – The initial ancestor common to all organisms within the cladogram (incoming line shows it originates from a larger clade) Nodes – Each node corresponds to a hypothetical common ancestor that speciated to give rise to two (or more) daughter taxa.

Explanation:

Answer:

one feature of a cladogram is a branch that shows you relations among animals

Explanation:

EZ POINTS
20. An object's kinetic energy is a combination of its: A. mass and weight B. distance and direction C. mass and velocity D. volume and direction​

Answers

Answer:

A.

Explanation:

B,C,D is not right because those do not pay a factor on kinectic energy

Which best illustrates projectile motion

Answers

A pictorial diagram of a person hopping sideways at 5 different positions. The start and end positions are on the ground. The correct option is D.

What is projectile motion?

Projectile motion is the motion of an artifact thrown or projected into the air that is only affected by gravity's acceleration. The object is known as a projectile, and its path is known as its trajectory.

Any object that is cast, fired, flung, heaved, hurled, pitched, tossed, or thrown is considered a projectile.

Throwing a ball straight up, kicking a ball at an angle to the horizontal, or simply dropping things and letting them fall are all examples of projectile motion.

The pictorial diagram of a person hopping sideways in five different positions best illustrates projectile motion. The starting and ending points are on the ground.

Thus, the correct option is D.

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Your question seems incomplete, the missing options are:

A pictorial diagram showing a hot air balloon in four different positions, each the same height from the ground and equally spaced.A pictorial diagram with a rocket launched straight upward. The first three positions of the rocket are shown with equal spacing between them.A pictorial diagram with a person swimming and position shown in equal time intervals and equally spaced.A pictorial diagram of a person hopping sideways at 5 different positions. The start and end positions are on the ground.

The earth’s gravity is pulling on you. Are you pulling on the earth? Explain your reasoning.

Answers

Answer:

yes we do because every object that has mass produces gravitational force relative to how much mass it has

Explanation:

An object free falls for 3.5 seconds . How far does it fall?

Answers

we need more information such as how high it was falling from

can you please help me

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Number 1 is D and number 2 is A

Ronald observes a large island off the coast of Indonesia on a map. A few months later, he observes that there are many smaller islands in place of the large one he had seen earlier. Which of these could have caused this change?

Answers

D is the correct answer

Answer:

idgaf

Explanation:

lol

Which element accumulates in the environment due to the use of
fertilizers?
A. oxygen
B. hydrogen
C. nitrogen
D. carbon

Answers

To Find :

Which element accumulates in the environment due to the use of  fertilizers.

Solution :

Most of the fertilizers used in daily practice are nitrogen fertilizers .

When soil became waterlogged, soil organisms take the oxygen they need from nitrates, leaving the nitrogen in a gaseous form which escapes into the air.

Also, nitrogen is very stable and did not participate in most of the reactions.

So, nitrogen is accumulates in the environment .

Therefore, option C. is correct.

The flow of electricity through the wires is called________?​

Answers

Answer:

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Explanation:

You eat a salad for lunch then go to swimming practice. The energy transformation that happens would be:

Answers

Answer:

Chemical to Mechanical

Explanation:

Chemical energy is food and then you are putting it to work and it would be known as Mechanical.

What is the kinetic energy of a 620.0 kg roller coaster moving with a velocity of 9.00 m/s? Round to 3 significant figures.

2,790 J
5,580 J
25,100 J
50,200 J

Answers

im pretty sure it’s 25,100 J because i had seen the same question a few times with this answer, hope it helps!

Answer:

c, 25,100 J

Explanation:

edge2o2o

i hope its still not a black screen help please

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Lol, I can’t see any image

What makes the eardrum vibrate?

Answers

Answer:

The sound waves are gathered by the outer ear and sent down the ear canal to the eardrum. The sound waves cause the eardrum to vibrate, which sets the three tiny bones in the middle ear into motion. The motion of the three bones causes the fluid in the inner ear, or cochlea, to move.

~+lil more info+~

The sound waves go through the ear canal into the middle ear, which includes the eardrum (a thin layer of tissue) and three tiny bones called ossicles. The sound causes the eardrum to vibrate. The ossicles amplify these vibrations and carry them to the inner ear.

Why do temperatures differ between air, land, and water?

Answers

Answer:the ocean water isn't moving into or through the atmosphere as a result of the sun's heating of the water, convection isn't the process influencing air and water temperature difference. The heat of the ocean is being given off radiated into the air, making the air substantially warmer

Explanation:

NEED HELP NOW 75 POINTSSSS

In Harry Bahrick’s study, he found participants to be really good at recognizing the __________ of old high school classmates.
A.
homes
B.
ages
C.
faces
D.
names

Answers

Answer:

faces

Explanation:

Answer:

C.FACES

Explanation:

E20 GOT A HUNDRED PERCENT

is the text in red correct (0n0')

Answers

Yes the text in the red is correct.

Which of these is an example of mechanical energy being converted to sound energy?
baking cookies in the oven
playing a guitar
alarm clock

Answers

Playing a guitar I believe

Answer:

Playing Guitar

Explanation:

When yout pluck or strum that mechanical energy then the action of plucked and strumming will be converted to sound energy hence will produce the soothing music heard when a guitar is played

If the velocity of an airplane is doubled, then its kinetic energy
will increase by a factor of

Answers

Answer:4

Explanation:

If the velocity of an airplane is doubled, then its kinetic energy will increase by a factor of four.

What is kinetic energy?

The ability of an object to do work by virtue of its motion.

The kinetic energy is represented mathematically as

K.E = 1/2 mv²

where v is the velocity with which the object is moving and m is its mass.

When the velocity is doubled, kinetic energy is

K.E' = 1/2 m(2v)²

K.E' =4 x ( 1/2 mv²)

Thus,  airplane's kinetic energy will increase by a factor of four.

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What are electromagnetic waves?

Answers

Answer:

Em are waves that are created as a result of vibrations between an electric field and a magnetic field.

Explanation:

Answer:

Electromagnetic waves or EM waves are waves that are created as a result of vibrations between an electric field and a magnetic field. In other words, EM waves are composed of oscillating magnetic and electric fields.

A changing magnetic field will induce a changing electric field and vice-versa the two are linked. These changing fields form electromagnetic waves.This means that electromagnetic waves can travel not only through air and solid materials, but also through the vacuum of space.

Fun fact - The first oranges weren’t orange

The original oranges from Southeast Asia were a tangerine-pomelo hybrid, and they were actually green. In fact, oranges in warmer regions like Vietnam and Thailand still stay green through maturity.

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