A bullet is fired from a rifle with an initial velocity of 300 m/s at an angle of 25 degrees from the horizontal.
1. Calculate the horizontal and vertical components of the velocity
2. Calculate the time spent in the air
3. Calculate the maximum height
4. Calculate the horizontal distance

Answers

Answer 1

Answer:

1. The horizontal component of the velocity is approximately 271.89 m/s

The vertical component of the velocity is approximately 126.79 m/s

2. The time the bullet spends in the air is approximately 25.85 seconds

3. The maximum height reached by the bullet is approximately 819.35 meters

4. The horizontal distance is approximately 7028.36 meters

Explanation:

The initial velocity of the bullet = 300 m/s

The angle at which the bullet was fired, θ = 25° from the horizontal

1. The horizontal component of the velocity vₓ = The component of the velocity in the x-direction

vₓ = v × cos(θ)

Substituting gives;

vₓ = 300 × cos(25°) ≈ 271.89 m/s

The vertical component of the velocity [tex]u_y[/tex] = The component of the velocity in the y-direction

[tex]v_y[/tex] = v × sin(θ)

Substituting gives;

[tex]u_y[/tex] = 300 × sin(25°) ≈ 126.79 m/s

2. The time the bullet takes to maximum height, t = 1/2 × The time the bullet spends in the air

The following is the relevant kinematic equation for the vertical motion of the bullet;

v = u - g × t

Where;

[tex]v_y[/tex] = The final velocity vertical velocity = (0 at maximum height)

[tex]u_y[/tex] = The initial vertical velocity ≈ 126.79 m/s

g = The acceleration due to gravity = 9.81 m/s²

t = The time in flight of the bullet

Substituting gives;

0 = 126.79 - 9.81 × t

t ≈ 126.79/9.81 ≈ 12.924 s

The time the bullet spends in the air = 2 × The time the bullet takes to maximum height

∴ The time the bullet spends in the air ≈ 2 × 12.924 ≈ 25.85

The time the bullet spends in the air ≈ 25.85 seconds

3. The maximum height reached is given from the following kinematic equation;

[tex]u_y[/tex]² = 2 × g × h

Where;

h = The maximum height reached by the bullet

∴ h = [tex]u_y[/tex]²/(2 × g)

h = 126.79²/(2 × 9.81) = 819.35

The maximum height reached by the bullet = h = 819.35 meters

4. The horizontal distance travelled by the bullet = Horizontal component of the velocity of the bullet × The time the bullet spends in the air

∴ The horizontal distance travelled by the bullet = 271.89 × 25.85 ≈ 7028.36

The horizontal distance travelled by the bullet ≈ 7028.36 meters.


Related Questions

WILL MARK BRAINLIEST not like anyone answers these.. but i need the RIGHTT ANSWERR people say its A or its D idkk???? u guys confuse me but hereee
The microwave oven was invented in 1945 when some experiments with radar equipment failed and melted some nearby chocolate instead. The scientists realized there were other applications for this energy source. What is this an example of?

A) Creative thinking
B) Scientific method
C) Scientific law
D) Artistic ability

Answers

Answer:

B)

Explanation:

Scientific method- a method of procedure that has characterized natural science since the 17th century, consisting in systematic observation, measurement, and experiment, and the formulation, testing, and modification of hypotheses.

in this, the scientist had to test their theories to find a solution to their problem.

i’m pretty sure it’s A correct me if i’m wrong

If a golf ball is dropped from the thirteenth floor of a building, ignoring air resistance, after falling for 7.00 seconds the speed of the ball will be?

Answers

Explanation:

We know that

V = U + at

Here, u is 0 and a is 9.8 which is acceleration due to gravity.

Thus,

V = 9.8 *7

V = 68.6 m/s

A roller coaster of mass 2000 kg is rolling down a track with an
instantaneous speed of 10 m/s. The roller coaster has a force of
unknown magnitude act on it, so now it is traveling at only 6
m/s. What was the work done on it?

Answers

Kinetic energy = (1/2) (mass) (speed)²

The coaster's original kinetic energy was

KE = (1/2) (2,000 kg) (10 m/s)²

KE = (1,000 kg) (100 m²/s²)

KE = 100,000 kg-m²/s²

old KE = 100,000 joules

After something slowed it down, its new kinetic energy is

KE = (1/2) (2,000 kg) (6 m/s)²

KE = (1,000 kg) (36 m²/s²)

KE =  36,000 kg-m²/s²

new KE = 36,000 joules

The coaster lost (100,000 - 36,000) = 64,000 joules of KE.

Energy is conserved.  It can't evaporate, disappear, or be destroyed.

That 64,000 joules had to go somewhere.

Someone or something had to do 64,000 joules of work on it in order to slow it down.

The work done by the external force on the roller coaster is 64000 J.

How do you calculate the work done on the roller coaster?

Given that the mass of The roller coaster is 2000 kg and its velocity is 10 m/s. The kinetic energy of the roller coaster is given below.

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

[tex]KE = \dfrac {1}{2}\times 2000\times (10)^2[/tex]

[tex]KE = 100000 \;\rm J[/tex]

Since the roller coaster has a force of unknown magnitude which decreases its speed to 6 m/s. For this decreased speed, the kinetic energy is given as below.

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

[tex]KE'= \dfrac {1}{2}\times 2000\times 6^2[/tex]

[tex]KE' = 36000\;\rm J[/tex]

The work done on the roller coaster is calculated by the change in the kinetic energy for both speeds.

Work Done = KE - KE'

Work = 100000 - 36000

Work = 64000 J

Hence we can conclude that the work done by the external force on the roller coaster is 64000 J.

To know more about the work, follow the link given below.

https://brainly.com/question/3902440.

A car traveling initially at 7.35 m/s acceler-
ates at the rate of 0.824 m/s² for 2.09 s.
What is its velocity at the end of the accel-
eration?
Answer in units of m/s.

Answers

Answer:

[tex]v_f=9,07~m/s[/tex]

Explanation:

Constant Acceleration Motion

It's a type of motion in which the velocity of an object changes uniformly in time.

Being a the constant acceleration, vo the initial speed, vf the final speed, and t the time, the following relation applies:

[tex]v_f=v_o+at[/tex]

The car initially travels at vo=7.35 m/s and accelerates at a rate of [tex]a=0.824~m/s^2[/tex] during t=2.09 s.

The final velocity is:

[tex]v_f=7.35+0.824*2.09[/tex]

[tex]\mathbf{v_f=9,07~m/s}[/tex]

1) what is viscosity?​

Answers

a liquids ability to flow. basically it’s how fast it flows and it’s thickness. have a great night/day!

Which formula equation shows a reversible reaction?

Answers

Answer:

If this is your question... the answer is C.

Explanation:

For edge:)

Answer:

C on edge2021

Which statement summarizes the difference between mass and weight?

Mass is the downward pull on an object due to gravity, and weight is the amount of matter in an object.
Mass is the amount of matter in an object, and weight is the downward pull on an object due to gravity.
Mass is measured in newtons, and weight is measured in pounds.
Mass is measured in pounds, and weight is measured in newtons.

Answers

Second response. Mass is the amount of matter In object...

Answer:

its B ; mass is the amount of matter in an object, and weight is the downward pull on an object due to gravity.

Explanation:

I just took the test on edge 2020

hi im learning about zodiac sign can u share urs and what are some things u like to do im a aquarius i play vollyball and sing tysm≅

Answers

Answer:

Im a capricorn ! UwU

Explanation:

And well I like to watch my shows

draw / do art

Listen to music

spend time with people I care about

And secretly sing ;>

Hope I could help . :3

Hope u have a amazing rest of your day / night ! <3

Sleepy~

Match the term with each description:

1. Acid

2. Alkaline

3. pH

4. Ion

Answer choices:

A.) An atom or molecule that has a positive or negative charge

B.) A value from 0 to 14 that is used to specify how acidic or basic a compound is when it is

C.) A compound that increases the hydroxide ions (OH-) when it is dissolved in a solution

D.) A compound that increases hydrogen ions (H+) when it is dissolved in a solution

Answers

Answer:

An acid is a compound that increases hydrogen ions (H+) when it is dissolved in a solution.

all I got

How are a concave lens and a convex lens alike? How are they different?

Answers

ANSWER

A convex lens acts a lot like a concave mirror. ... A concave lens acts a lot like a convex mirror. Both diverge parallel rays away from a focal point, have negative focal lengths, and form only virtual, smaller images.

Help me which one dose it go ?:)

Answers

Answer:

3. sportsmanship

4. neither A nor B

the horizontal distance that each thrown object covers increases as
its initial speed...



A:increases
B:decrease
C: stay the same

Answers

Answer:

A

Explanation:

when carbon and oxygen combine chemically, what is true about the mass of the product

Answers

Answer: Equal to the mass of the carbon plus the mass of the oxygen

Explanation:

How does the period affects the centripetal force?

Answers

According to the Equation (2), centripetal force is proportional to the square of the speed for an object of given mass M rotating in a given radius R

You are skateboarding in your friend's driveway. You hit a rock and your
skateboard stops, but you go flying forward and hit the ground because of

Answers

Answer:

the rock hit the board you go flying because you board stops but you have energy still going so there for you go flying

Explanation:

Answer: You are correct the reasoning is inertia.

Explain: Inertia is the ability to resist change in movement. But that is irrelevant to this question. Newtons first law, “An object in motion stayes in motion unless stopped by an outside force. This case, the outside force is the ground.

What is the kinetic energy of a 72.2kg cheetah moving at a velocity of 25.9m/s?

Answers

Answer:

K = 24222.94 J

Explanation:

Given that,

Mass of a cheetah, m = 72.2 kg

Velocity of cheetah, v = 25.9 m/s

We need to find the kinetic energy of the cheetah. Due to the motion of an object, it will have kinetic energy which is given by :

[tex]K=\dfrac{1}{2}mv^2\\\\=\dfrac{1}{2}\times 72.22\times (25.9)^2\\\\=24222.94\ J[/tex]

So, the kinetic energy of the cheetah is 24222.94 J.

A train of mass 5.6 × 10^5kg is at rest in a station.at time t=0s, a resultant force acts on the train and it starts to accelerate foward. The initial acceleration of the train is 0.75m/s. Calculate the resultant force that acts on train this time​.

Answers

Answer:

420000N

Explanation:

Given parameters:

Mass of the train  = 5.6 x 10⁵kg

Acceleration  = 0.75m/s²

Unknown:

Resultant force = ?

Solution:

According to newton's second law, force is the product of mass and acceleration;

   Force  = mass x acceleration

Resultant force that acts on the train is given below;

 Force  = 5.6 x 10⁵kg  x 0.75m/s²  = 420000N

3 A ball is thrown haizonatally
oft a 7m building at omis
A man wants to catch the
ball in a basket 1sm of the
ground How ker away from the
building should he stand with
the basket
?

Answers

Answer:

Explanation:

very far look this up in the search the answer is there

A basketball is resting on the ground.
Which claim about the forces acting on the basketball
must be true?

Answers

Answer:

b

Explanation:

there is no net force on the basketball

Any Answer Would Be Appreciated
A thermometer is removed from a beaker of boiling water and placed in a beaker of room temperature water. The thermometer takes 15 seconds to reach a reading of 25°C. The same thermometer is returned to the boiling water for several minutes. It is then placed under a tap of running water at room temperature.The thermometer takes only 10 seconds to reach a reading of 25°C.
What conclusion could you make about conduction and convection based on these observations?

Your answer:

Conduction is a more efficient method of heat transfer.


Convection is a more efficient method of heat transfer.


No valid conclusion is suggested by these observations.


Conduction and convection are equally efficient methods of heat transfer.

Answers

Answer:

last one.Condution and convection are equzlly efficentmethods of heat transfer.

Explanation:

Answer: B convection is a more efficient method of heat transfer  

Explanation:

When the wedges are removed, the cars will move. Predict which direction they will move and when they will stop(help due by tonight)

Answers

Answer:

backwards. they will stop.

Explanation:

they will stop at a point because of the friction and that it couldn't move for ever

What is the difference between zone coverage and man coverage, and how can the offense team read those coverages?

Answers

Answer:

zone coverage is about sensing what the offense is attempting to accomplish against the defense. Each defensive player reacts when the ball is in the air, whereas in man-to-man coverage, he simply plays the receiver.

Explanation:

A Chevy Camaro drives straight off the top level off a parking garage at 9 m/s. If the car landed 81 meters away from the base of the parking garage, how high (height) was the top level? 196.9 meters 296.9 meters 396.9 meters 496.9 meters​

Answers

Answer:

The correct option is c: 396.9 meters.

Explanation:  

First, we need to find the time at which the car landed:

[tex] v = \frac{x}{t} [/tex]

[tex] t = \frac{x}{v} = \frac{81 m}{9 m/s} = 9 s [/tex]                                                                    

Now, we can find the height of the top-level:

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

Since the car has only a velocity in the horizontal direction, we have:

[tex] 0 = y_{0} + 0*t - \frac{1}{2}gt^{2} [/tex]

[tex] y_{f} = \frac{1}{2}gt^{2} = \frac{1}{2}9.81 m/s^{2}*(9 s)^{2} = 397 m [/tex]

Therefore, the correct option is c: 396.9 meters.

I hope it helps you!  

Can you hellp me please

Answers

Answer:

i think the answer is B but im not sure

Answer:

B

Explanation:

What is the focal length of a lens

Answers

Answer:

The focal length of a lens is the distance between the lens and the image sensor when the subject is in focus, usually stated in millimeters.

this is refering to a camera lens, not glasses and what not, glasses do not have a focus length, only equipment that has the ability to focus

Explanation:

May I have brainliest please? :)

Which of the following is a device that uses a wedge?
Check all that apply.
A. doorknob
B. axe
C. knife
D. baseball bat

Answers

Answer:

Axe and a knife

A 120-kg roller coaster cart is being tested on a new track, and a crash-test dummy is loaded into it. The roller coaster starts from rest at point A which is 25 m above point B. In your own words, what physics ideas would you be able to use to predict how fast the cart is moving at point B? What calculations would you use, what things would you be measuring, and what physics principles or laws would you use to make this calculation

Answers

Answer:

vb = 22.13 m/s

So, the only thing that was measured here was the height of point A relative to point B. And the Law of Conservation of Energy was used.

Explanation:

In order to find the speed of roller coaster at Point B, we will use the law of conservation of Energy. In this situation, the law of conservation of energy states that:

K.E at A + P.E at A = K.E at B + P.E at B

(1/2)mvₐ² + mghₐ = (1/2)m(vb)² + mg(hb)

(1/2)vₙ² + ghₐ = (1/2)(vb)² + g(hb)

where,

vₙ = velocity of roller coaster at point a = 0 m/s

hₙ = height of roller coaster at point a = 25 m

g = 9.8 m/s²

vb = velocity of roller coaster at point B = ?

hb = Height of Point B = 0 m (since, point is the reference point)

Therefore,

(1/2)(0 m/s)² + (9.8 m/s²)(25 m) = (1/2)(vb)² + (9.8 m/s²)(0 m)

245 m²/s² * 2 = vb²

vb = √(490 m²/s²)

vb = 22.13 m/s

So, the only thing that was measured here was the height of point A relative to point B. And the Law of Conservation of Energy was used.

Object X travels across a horizontal surface and collides with object Y. The velocity as a function of time for object X and object Y before, during, and after the
collision is shown in the graph. Both objects have a mass of 2 kg. Which of the following correctly describes the momentum p of the system and the kinetic
energy K of the system?

Answers

Answer:

The correct option is;

(B) [tex]\underset{P}{\rightarrow}[/tex] is conserved, K Not conserved

Explanation:

From the diagram related to the question and from the question, we have;

m₁ = m₂ = 2 kg

v₁ = 4 m/s, v₂ = -2 m/s, v₃ = 1 m/s, therefore, we have;

The total initial momentum of the system = m₁ × v₁ + m₂ × v₂

m₁ (v₁ + v₂) = 2×(4 - 2) = 4 kg·m/s

The total final momentum of the system = m₁ × v₃ + m₂ × v₃ = 2 ×1 +2 ×1  = 4 kg·m/s

Given that the total initial momentum = The total final momentum, we have that the momentum, p, is conserved

The kinetic energy of the system before collision  = 1/2×m₁×v₁² + 1/2×m₂×v₂²

∴ The kinetic energy of the system before collision  = 1/2*2*(4)² + 1/2*2*(-2)² = 20 J

∴ The kinetic energy of the system after collision  = 1/2×m₁×v₃² + 1/2×m₂×v₃²

1/2*2*(1)² + 1/2*2*(1)² = 2 J

The kinetic energy of the system before collision ≠ The kinetic energy of the system after collision

Therefore, the kinetic energy of the system is not conserved.

If the velocities of object X and object Y after collision is the same (inelastic collision), then only momentum is conserved but if the velocities of both objects after collision are different (elastic collision), then both momentum and kinetic energy are conserved.

According to principle of conservation of linear momentum, the total momentum before and after collision is conserved.

For inelastic collision, only momentum is conserved while kinetic energy is not conserved.

[tex]m_1u_1 \ + \ m_2u_2 = v(m_1 + m_2)[/tex]

[tex]\frac{1}{2} m_1u_1^2 \ + \frac{1}{2} m_2u_2^2 = \frac{1}{2}v^2(m_1+m_2)[/tex]

For elastic collision, both momentum and kinetic energy are conserved;

[tex]m_1u_1 \ + \ m_2u_2 =m_1v_1 \ + \ m_2v_2[/tex]

[tex]\frac{1}{2} m_1u_1^2 \ + \frac{1}{2} m_2u_2^2 = \frac{1}{2}m_1v_1^2 \ +\ \frac{1}{2}m_2v_2^2[/tex]

Thus, we can conclude that, if the velocities of object X and object Y after collision is the same (inelastic collision), then only momentum is conserved but if the velocities of both objects after collision are different (elastic collision), then both momentum and kinetic energy are conserved.

Learn more here:https://brainly.com/question/24424291

A crate is being pushed at a constant velocity. What force are being used?

Answers

Answer:

Constant Speed

Explanation:

Answer:

Friction, inertia and constant speed

Explanation:

The friction and inertia create an equilibrium

A politician running for office tells a crowd at a rally that the only way to keep the food chain safe is to stop allowing the growth of genetically-modified crops, or GMOs. Should the politician's statement be considered a scientific fact?
A.
Yes. Public speakers are known to be experts in every subject.
B.
No. He presented no scientific data to support his claim.
C.
No. Only scientists can talk about scientific facts.
D.
Yes. He is probably friends with scientists who work with GMOs.

Answers

Answer:

B. No. He presented no scientific data to support his claim.

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